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- From: Michael.Corbin@p0.f428.n104.z1.FIDONET.ORG (Michael Corbin)
- Newsgroups: alt.paranet.ufo
- Subject: Zeta Reticuli Incident - Part 1
- Date: 12 Feb 94 15:09:07 GMT
-
-
- ****************************************************************
- ParaNet File Number: 00269
-
-
- DATE OF UPLOAD: March 3, 1990
- ORIGIN OF UPLOAD: ParaNet Headquarters
- CONTRIBUTED BY: Terence Dickinson
- ========================================================
-
- THE ZETA RETICULI INCIDENT
-
- By Terence Dickinson with related commentary by: Jeffrey L.
- Kretsch, Carl Sagan, Steven Soter, Robert Schaeffer, Marjorie
- Fish, David Saunders, and Michael Peck.
-
- (C) 1976 by AstroMedia, Corp., publisher of Astronomy Magazine.
-
- A faint pair of stars, 220 trillion miles away, has been
- tentatively identified as the "home base" of intelligent
- extraterrestrials who allegedly visited Earth in 1961. This
- hypothesis is based on a strange, almost bizarre series of events
- mixing astronomical research with hypnosis, amnesia, and alien
- humanoid creatures.
- The two stars are known as Zeta 1 and Zeta 2 Reticuli, or
- together as simply Zeta Reticuli. They are each fifth magnitude
- stars -- barely visible to the unaided eye -- located in the
- obscure souther constellation Reticulum. This southerly sky
- location makes Zeta Reticuli invisible to observers north of
- Mexico City's latitude.
- The weird circumstances that we have dubbed "The Zeta
- Reticuli Incident" sound like they come straight from the UFO
- pages in one of those tabloids sold in every supermarket. But
- this is much more than a retelling of a famous UFO incident; it's
- an astronomical detective story that at times hovers on that hazy
- line that separates science from fiction. It all started this
- way:
-
-
- The date is Sept. 19, 1961. A middle aged New Hampshire
- couple, Betty and Barney Hill, are driving home from a short
- vacation in Canada. It's dark, with the moon and stars
- illuminating the wooded landscape along U.S. Route 3 in central
- New Hampshire. The Hills' curiosity is aroused when a bright
- "star" seems to move in an irregular pattern. They stop the car
- for a better view. The object moves closer, and its disklike
- shape becomes evident.
- Barney grabs his binoculars from the car seat and steps out.
- He walks into a field to get a closer look, focuses the
- binoculars, and sees the object plainly. It has windows -- and
- behind the windows, looking directly at him are...humanoid
- creatures! Terrified, Barney stumbles back to the car, throws it
- into first gear and roars off. But for some reason he turns down
- a side road where five of the humanoids are standing on the road.
- Apparently unable to control their actions, Betty and Barney
- are easily taken back to the ship by the humanoids. While inside
- they are physically examined, and one of the humanoids
- communicates to Betty. After the examination she asks him where
- they are from. In response he shows her a three-dimensional map
- with various sized dots and lines on it. "Where are you on the
- map?" the humanoid asks Betty. She doesn't know, so the subject
- is dropped.
- Betty and Barney are returned unharmed to their car. They
- are told they will forget the abduction portion of the incident.
- The ship rises, and then hurtles out of sight. The couple
- continue their journey home oblivious of the abduction.
- But the Hills are troubled by unexplained dreams and anxiety
- about two hours of their trip that they can't account for.
- Betty, a social worker, asks advice from a psychiatrist friend.
- He suggests that the memory of that time will be gradually
- restored over the next few months -- but it never is. Two years
- after the incident, the couple are still bothered by the missing
- two hours, and Barney's ulcers are acting up. A Boston
- psychiatrist, Benjamin Simon, is recommended, and after several
- months of weekly hypnosis sessions the bizarre events of that
- night in 1961 are revealed. A short time later a UFO group leaks
- a distorted version of the story to the press and the whole thing
- blows up. The Hills reluctantly disclose the entire story.
-
- Can we take this dramatic scenario seriously? Did this
- incredible contact with aliens actually occur or is it some kind
- of hallucination that affected both Barney and Betty Hill? The
- complete account of the psychiatric examination from which the
- details of the event emerged is related in John G. Fuller's 'The
- Interrupted Journey' (Dial Press, 1966), where we read that after
- the extensive psychiatric examination, Simon concluded that the
- Hills were not fabricating the story. The most likely
- possibilities seem to be: (a) the experience actually happened,
- or (b) some perceptive and illusory misinterpretations occurred
- in relationship to some real event.
- There are other cases of alleged abductions by
- extraterrestrial humanoids. The unique aspect of the Hills'
- abduction is that they remembered virtually nothing of the
- incident.
- Intrigued by the Hills' experience, J. Allen Hynek, chairman
- of the department of astronomy at Northwestern University,
- decided to investigate. Hynek described how the Hills recalled
- the details of their encounter in his book, 'The UFO Experience'
- (Henry Regnery Company, 1972):
-
- "Under repeated hypnosis they independently revealed what
- had supposedly happened. The two stories agreed in considerable
- detail, although neither Betty nor Barney was privy to what the
- other had said under hypnosis until much later. Under hypnosis
- they stated that they had been taken separately aboard the craft,
- treated well by the occupants -- rather as humans might treat
- experimental animals -- and then released after having been given
- the hypnotic suggestion that they would remember nothing of that
- particular experience. The method of their release supposedly
- accounted for the amnesia, which was apparently broken only by
- counterhypnosis."
-
- A number of scientists, including Hynek, have discussed this
- incident at length with Barney and Betty Hill and have questioned
- them under hypnosis. They concur with Simon's belief that there
- seems to be no evidence of outright fabrication or lying. One
- would also wonder what Betty, who has a master's degree in social
- work and is a supervisor in the New Hampshire Welfare Department,
- and Barney, who was on the governor of New Hampshire's Civil
- Rights Commission, would have to gain by a hoax? Although the
- Hills didn't, several people have lost their jobs after being
- associated with similarly unusual publicity.
- Stanton T. Friedman, a nuclear physicist and the nation's
- only space scientist devoting full time to researching the UFO
- phenomenon, has spent many hours in conversation with the Hills.
- "By no stretch of the imagination could anyone who knows them
- conclude that they were nuts," he emphasizes.
- So the experience remains a fascinating story despite the
- absence of proof that it actually happened. Anyway -- that's
- where things were in 1966 when Marjorie Fish, an Ohio
- schoolteacher, amateur astronomer and member of Mensa, became
- involved. She wondered if the objects shown on the map that
- Betty Hill allegedly observed inside the vehicle might represent
- some actual pattern of celestial objects. To get more
- information about the map she decided to visit Betty Hill in the
- summer of 1969. (Barney Hill died in early 1969.) Here is Ms.
- Fish's account of that meeting:
-
- "On Aug.4, 1969, Betty Hill discussed the star map with me.
- Betty explained that she drew the map in 1964 under posthypnotic
- suggestion. It was to be drawn only if she could remember it
- accurately, and she was not to pay attention to what she was
- drawing -- which puts it in the realm of automatic drawing. This
- is a way of getting at repressed or forgotten material and can
- result in unusual accuracy. She made two erasures showing her
- conscious mind took control part of the time.
- "Betty described the map as three-dimensional, like looking
- through a window. The stars were tinted and glowed. The map
- material was flat and thin (not a model), and there were no
- noticeable lenticular lines like one of our three-dimensional
- processes. (It sounds very much like a reflective hologram.)
- Betty did not shift her position while viewing it, so we cannot
- tell if it would give the same three-dimensional view from all
- positions or if it would be completely three-dimensional. Betty
- estimated the map was approximately three feet wide and two feet
- high with the pattern covering most of the map. She was standing
- about three feet away from it. She said there were many other
- stars on the map but she only (apparently) was able to
- specifically recall the prominent ones connected by lines and a
- small distinctive triangle off to the left. There was no
- concentration of stars to indicate the Milky Way (galactic plane)
- suggesting that if it represented reality, it probably only
- contained local stars. There were no grid lines."
-
-
- So much for the background material on the Hill incident.
- (If you want more details on the encounter, see Fuller's book).
- For the moment we will leave Marjorie Fish back in 1969 trying to
- interpret Betty Hill's reproduction of the map. There is a
- second major area of background information that we have to
- attend to before we can properly discuss the map. Unlike the
- bizarre events just described, the rest is pure astronomy.
- According to the most recent star catalogs, there are about
- 1,000 known stars within a radius of 55 light-years of the sun.
- What are those other stars like? A check of the catalogs
- shows that most of them are faint stars of relatively low
- temperature -- a class of stars astronomers call main sequence
- stars. The sun is a main sequence star along with most of the
- other stars in this part of the Milky Way galaxy, as the
- following table shows:
-
- Main sequence stars 91%
- White dwarfs 8%
- Giants and Supergiants 1%
-
- Typical giant stars are Arcturus and Capella. Antares and
- Betelgeuse are members of the ultrarare supergiant class. At the
- other end of the size and brightness scale the white dwarfs are
- stellar cinders -- the remains of once brilliant suns. For
- reasons that will soon become clear we can remove these classes
- of stars from our discussion and concentrate on the main sequence
- stars whose characteristics are shown in the table.
-
- CHARACTERISTICS OF MAIN SEQUENCE STARS
-
- Class Proportion Temperature Mass Luminosity Lifespan
- of Total (Degrees F) (sun=1) (sun=1) (billions yrs)
-
- A0 1% 20,000 2.8 60 0.5 Vega
- A5 15,000 2.2 20 1.0
- F0 3% 13,000 1.7 6 2.0 Procyon
- F5 12,000 1.25 3 4.0
- G0 9% 11,000 1.06 1.3 10 Sun
- G5 10,000 0.92 0.8 15
- K0 14% 9,000 0.80 0.4 20 Epsilon
- Eridani
- K5 8,000 0.69 0.1 30
- M0 73% 7,000 0.48 0.02 75 Proxima
- Centauri
- M5 5,000 0.20 0.001 200
- ===============================================================================
-
- The spectral class letters are part of a system of stellar
- "fingerprinting" that identifies the main sequence star's
- temperature and gives clues to its mass and luminosity. The
- hottest, brightest and most massive main sequence stars (with
- rare exceptions) are the A stars. The faintest, coolest and
- least massive are the M stars.
- Each class is subdivided into 10 subcategories. For
- example, an A0 star is hotter, brighter and more massive than an
- A1 which is above an A2, and so on through A9.
- This table supplies much additional information and shows
- how a slightly hotter and more massive star turns out to be much
- more luminous than the sun, a G2 star. But the bright stars pay
- dearly for their splendor. It takes a lot of stellar fuel to
- emit vast quantities of light and heat. The penalty is a short
- lifespan as a main sequence star. Conversely, the inconspicuous,
- cool M stars may be around to see the end of the universe --
- whatever that might be. With all these facts at hand we're now
- ready to tackle the first part of the detective story.
- Let's suppose we wanted to make our own map of a trip to the
- stars. We will limit ourselves to the 55 light-year radius
- covered by the detailed star catalogs. The purpose of the trip
- will be to search for intelligent life on planets that may be in
- orbit around these stars. We would want to include every star
- that would seem likely to have a life-bearing planet orbiting
- around it. How many of these thousand-odd stars would we include
- for such a voyage and which direction would we go? (For the
- moment, we'll forget about the problem of making a spacecraft
- that will take us to these stars and we'll assume that we've got
- some kind of vehicle that will effortlessly transport us to
- wherever we want to go.) We don't want to waste our time and
- efforts -- we only want to go to stars that we would think would
- have a high probability of having planets harboring advanced life
- forms. This seems like a tall order. How do we even begin to
- determine which stars might likely have such planets?
- The first rule will be to restrict ourselves to life as we
- know it, the kind of life that we are familiar with here on Earth
- -- carbon based life. Science fiction writers are fond of
- describing life forms based on chemical systems that we have been
- unable to duplicate here on Earth -- such as silicon based life
- or life based on the ammonium hydroxide molecule instead of on
- carbon. But right now these life forms are simply fantasy -- we
- have no evidence that they are in fact possible. Because we
- don't even know what they might look like -- if they're out there
- -- we necessarily have to limit our search to the kind of life
- that we understand.
- Our kind of life -- life as we know it -- seems most likely
- to evolve on a planet that has a stable temperature regime. It
- must be at the appropriate distance from its sun so that water is
- neither frozen nor boiled away. The planet has to be the
- appropriate size so that its gravity doesn't hold on to too much
- atmosphere (like Jupiter) or too little (like Mars). But the
- main ingredient in a life-bearing planet is its star. And its
- star is the only thing we can study since planets of other stars
- are far too faint to detect directly.
- The conclusion we can draw is this: The star has to be like
- the sun.
- Main sequence stars are basically stable for long periods of
- time. As shown in the table, stars in spectral class G have
- stable lifespans of 10 billion years. (Our sun, actually a G2
- star, has a somewhat longer stable life expectancy of 11 billion
- years.) We are about five billion years into that period so we
- can look forward to the sun remaining much as it is (actually it
- will brighten slightly) for another six billion years. Stars of
- class F4 or higher have stable burning periods of less than 3.5
- billion years. They have to be ruled out immediately. Such
- stars cannot have life-bearing planets because, at least based on
- our experience on our world, this is not enough time to permit
- highly developed biological systems to evolve on the land areas
- of a planet. (Intelligent life may very well arise earlier in
- water environments, but let's forget that possibility since we
- have not yet had meaningful communication with the dolphins --
- highly intelligent creatures on this planet!) But we may be
- wrong in our estimate of life development time. There is another
- more compelling reason for eliminating stars of class F4 and
- brighter.
- So far, we have assumed all stars have planets, just as our
- sun does. Yet spectroscopic studies of stars of class F4 and
- brighter reveal that most of them are in fact unlike our sun in a
- vital way -- they are rapidly rotating stars. The sun rotates
- once in just under a month, but 60 percent of the stars in the F0
- to F4 range rotate much faster. And almost all A stars are rapid
- rotators too. It seems, from recent studies of stellar evolution
- that slowly rotating stars like the sun rotate slowly because
- they have planets. Apparently the formation of a planetary
- system robs the star of much of its rotational momentum.
- For two reasons, then, we eliminate stars of class F4 and
- above: (1) most of them rotate rapidly and thus seem to be
- planetless, and (2) their stable lifespans are too brief for
- advanced life to develop.
-
-
- Another problem environment for higher forms of life is the
- multiple star system. About half of all stars are born in pairs,
- or small groups of three or more. Our sun could have been part
- of a double star system. If Jupiter was 80 times more massive it
- would be an M6 red dwarf star. If the stars of a double system
- are far enough apart there is no real problem for planets
- sustaining life (see "Planet of the Double Sun", September 1974).
- But stars in fairly close or highly elliptical orbits would
- alternately fry or freeze their planets. Such planets would also
- likely have unstable orbits. Because this is a potentially
- troublesome area for our objective, we will eliminate all close
- and moderately close pairs of systems of multiple stars.
- Further elimination is necessary according to the catalogs.
- Some otherwise perfect stars are labeled "variable". This means
- astronomers have observed variations of at least a few percent in
- the star's light output. A one percent fluctuation in the sun
- would be annoying for us here on Earth. Anything greater would
- cause climatic disaster. Could intelligent life evolve under
- such conditions, given an otherwise habitable planet? It seems
- unlikely. We are forced to "scratch" all stars suspected or
- proven to be variable.
- This still leaves a few F stars, quite a few G stars, and
- hoards of K and M dwarfs. Unfortunately most of the Ks and all
- of the Ms are out. Let's find out why.
- These stars quite likely have planets. Indeed, one M star
- -- known as Barnard's star -- is believed to almost certainly
- have at least one, and probably two or three, Jupiter sized
- planets. Peter Van de Kamp of the Sproul Observatory at
- Swarthmore College (Pa.) has watched Barnard's star for over
- three decades and is convinced that a "wobbling" motion of that
- star is due to perturbations (gravitational "pulling and
- pushing") caused by its unseen planets. (Earth sized planets
- cannot be detected in this manner.)
- But the planets of M stars and the K stars below K4 have two
- serious handicaps that virtually eliminate them from being abodes
- for life. First, these stars fry their planets with occasional
- lethal bursts of radiation emitted from erupting solar flares.
- The flares have the same intensity as those of our sun, but when
- you put that type of flare on a little star it spells disaster
- for a planet that is within, say, 30 million miles. The problem
- is that planets have to be that close to get enough heat from
- these feeble suns. If they are farther out, they have frozen
- oceans and no life.
- The close-in orbits of potential Earthlike planets of M and
- faint K stars produce the second dilemma -- rotational lock. An
- example of rotational lock is right next door to us. The moon,
- because of its nearness to Earth, is strongly affected by our
- planet's tidal forces. Long ago our satellite stopped rotating
- and now has one side permanently turned toward Earth. The same
- principles apply to planets of small stars that would otherwise
- be at the right distance for moderate temperatures. If
- rotational lock has not yet set in, at least rotational
- retardation would make impossibly long days and nights (as
- evidenced by Mercury in our solar system).
- What stars are left after all this pruning? All of the G
- stars remain along with F5 through F9 and K0 through K4. Stephen
- Dole of the Rand Corporation has made a detailed study of stars
- in this range and suggests we should also eliminate F5, F6 and F7
- stars because they balloon to red giants before they reach an age
- of five billion years. Dole feels this is cutting it too fine
- for intelligent species to fully evolve. Admittedly this is
- based on our one example of intelligent life -- us. But limited
- though this parameter is, it is the only one we have. Dole
- believes the K2, K3 and K4 stars are also poor prospects because
- of their feeble energy output and consequently limited zone for
- suitable Earthlike planets.
- Accepting Dole's further trimming we are left with single,
- nonvariable stars from F8 through all the Gs to K1. What does
- that leave us with? Forty-six stars.
- Now we are ready to plan the trip. It's pretty obvious that
- Tau Ceti is our first target. After that, the choice is more
- difficult. We can't take each star in order or we would be
- darting all over the sky. It's something like planning a
- vacation trip. Let's say we start from St. Louis and want to hit
- all the major cities within a 1,000 mile radius. If we go west,
- all we can visit is Kansas City and Denver. But northeast is a
- bonanza: Chicago, Detroit, Cleveland, Pittsburgh, Philadelphia,
- New York and more. The same principle applies to the planning of
- our interstellar exploration. The plot of all 46 candidate stars
- reveals a clumping in the direction of the constellations Cetus
- and Eridanus. Although this section amounts to only 13 percent
- of the entire sky, it contains 15 of the 46 stars, or 33 percent
- of the total. Luckily Tau Ceti is in this group, so that's the
- direction we should go (comparable to heading northeast from St.
- Louis). If we plan to visit some of these solar type stars and
- then return to Earth, we should try to have the shortest distance
- between stops. It would be a waste of exploration time if we
- zipped randomly from one star to another.
- Now we are ready to return to the map drawn by Betty Hill.
- Marjorie Fish reasoned that if the stars in the Hill map
- corresponded to a patter of real stars -- perhaps something like
- we just developed, only from an alien's viewpoint -- it might be
- possible to pinpoint the origin of the alleged space travelers.
- Assuming the two stars in the foreground of the Hill map were the
- "base" stars (the sun, a single star, was ruled out here), she
- decided to try to locate the entire pattern. She theorized that
- the Hill map contained only local stars since no concentration
- would be present if a more distant viewpoint was assumed and if
- both "us" and the alien visitors' home base were to be
- represented.
- Let's assume, just as an astronomical exercise, that the map
- does show the sun and the star that is "the sun" to the
- humanoids. We'll take the Hill encounter at face value, and see
- where it leads.
- Since the aliens were described as "humanoid" and seemed
- reasonably comfortable on this planet, their home planet should
- be basically like ours. Their atmosphere must be similar because
- the Hills breathed without trouble while inside the ship, and the
- aliens did not appear to wear any protective apparatus. And
- since we assume their biology is similar to ours, their planet
- should have the same temperature regime as Earth (Betty and
- Barney did say it was uncomfortably cold in the ship). In
- essence, then, we assume their home planet must be very
- Earthlike. Based on what we discussed earlier it follows that
- their sun would be on our list if it were within 55 light-years
- of us.
- The lines on the map, according to Betty Hill, were
- described by the alien as "trade routes" or "places visited
- occasionally" with the dotted lines as "expeditions". Any
- interpretation of the Betty Hill map must retain the logic of
- these routes (i.e. the lines would link stars that would be worth
- visiting).
- Keeping all this in mind, Marjorie Fish constructed several
- three-dimensional models of the solar neighborhood in hopes of
- detecting the pattern in the Hill map. Using beads dangling on
- threads, she painstakingly recreated our stellar environment.
- Between Aug. 1968 and Feb. 1973, she strung beads, checked data,
- searched and checked again. A suspicious alignment, detected in
- late 1968, turned out to be almost a perfect match once new data
- from the detailed 1969 edition of the Catalog of Nearby Stars
- became available. (This catalog is often called the "Gliese
- catalog" -- pronounced "glee-see" -- after its principal author,
- Wilhelm Gliese.)
- ==============================================================================
- THE 46 NEAREST STARS SIMILAR TO THE SUN
- NAME DISTANCE MAGNITUDE LUMINOSITY SPECTRUM
- (light-years) (visual) (sun=1)
-
- Tau Ceti 11.8 3.5 0.4 G8
- 82 Eridani 20.2 4.3 0.7 G5
- Zeta Tucanae 23.3 4.2 0.9 G2
- 107 Piscium 24.3 5.2 0.4 K1
- Beta Comae
- Berenices 27.2 4.3 1.2 G0
- 61 Virginis 27.4 4.7 0.8 G6
- Alpha Mensae 28.3 5.1 0.6 G5
- Gliese 75 28.6 5.6 0.4 K0
- Beta Canum
- Venaticorum 29.9 4.3 1.4 G0
- Chi Orionis 32 4.4 1.5 G0
- 54 Piscium 34 5.9 0.4 K0
- Zeta 1 Reticuli 37 5.5 0.7 G2
- Zeta 2 Reticuli 37 5.2 0.9 G2
- Gliese 86 37 6.1 0.4 K0
- Mu Arae 37 5.1 0.9 G5
- Gliese 67 38 5.0 1.2 G2
- Gliese 668.1 40 6.3 0.4 G9
- Gliese 302 41 6.0 0.6 G8
- Gliese 309 41 6.4 0.4 K0
- Kappa Fornacis 42 5.2 1.3 G1
- 58 Eridani 42 5.5 0.9 G1
- Zeta Doradus 44 4.7 2.0 F8
- 55 Cancri 44 6.0 0.7 G8
- 47 Ursa Majoris 44 5.1 1.5 G0
- Gliese 364 45 4.9 1.8 G0
- Gliese 599A 45 6.0 0.6 G6
- Nu Phoenicis 45 5.0 1.8 F8
- Gliese 95 45 6.3 0.5 G5
- Gliese 796 47 5.6 0.5 G8
- 20 Leo Minoris 47 5.4 1.2 G4
- 39 Tauri 47 5.9 0.8 G1
- Gliese 290 47 6.6 0.4 G8
- Gliese 59.2 48 5.7 1.0 G2
- Psi Aurigae 49 5.2 1.5 G0
- Gliese 722 49 5.9 0.9 G4
- Gliese 788 49 5.9 0.8 G5
- Nu 2 Lupi 50 5.6 1.1 G2
- 14 Herculis 50 6.6 0.5 K1
- Pi Ursa Majoris 51 5.6 1.2 G0
- Phi 2 Ceti 51 5.2 1.8 F8
- Gliese 641 52 6.6 0.5 G8
- Gliese 97.2 52 6.9 0.4 K0
- Gliese 541.1 53 6.5 0.6 G8
- 109 Piscium 53 6.3 0.8 G4
- Gliese 651 53 6.8 0.4 G8
- Gliese 59 53 6.7 0.4 G8
-
-
- This table lists all known stars within a radius of 54 light-years that are
- single or part of a wide multiple star system. They have no known
- irregularities or variabilities and are between 0.4 and 2.0 times the
- luminosity of the sun. Thus, a planet basically identical to
- Earth could be orbiting around any one of them. (Data from the
- Catalog of Nearby Stars, 1969 edition, by Wilhelm Gliese.)
- ===============================================================================
-
- The 16 stars in the stellar configuration discovered by
- Marjorie Fish are compared with the map drawn by Betty Hill in
- the diagram on page 6. If some of the star names on the Fish map
- sound familiar, they should. Ten of the 16 stars are from the
- compact group that we selected earlier based on the most logical
- direction to pursue to conduct interstellar exploration from
- Earth.
- Continuing to take the Hill map at face value, the radiating
- pattern of "trade routes" implies that Zeta 1 and Zeta 2 Reticuli
- are the "hub" of exploration or, in the context of the incident,
- the aliens' home base. The sun is at the end of one of the
- supposedly regular trade routes.
- The pair of stars that make up Zeta Reticuli is practically
- in the midst of the cluster of solar type stars that attracted us
- while we were mapping out a logical interstellar voyage.
- Checking further we find that all but two of the stars in the
- Fish pattern are on the table of nearby solar type stars. These
- two stars are Tau 1 Eridani (an F6 star) and Gliese 86.1 (K2),
- and are, respectively, just above and below the parameters we
- arrived at earlier. One star that should be there (Zeta Tucanae)
- is missing probably because it is behind Zeta 1 Reticuli at the
- required viewing angle.
- To summarize, then: (1) the pattern discovered by Marjorie
- Fish has an uncanny resemblance to the map drawn by Betty Hill;
- (2) the stars are mostly the ones that we would visit if we were
- exploring from Zeta Reticuli, and (3) the travel patterns
- generally make sense.
- Walter Mitchell, professor of astronomy at Ohio State
- University in Columbus, has looked at Marjorie Fish's
- interpretation of the Betty Hill map in detail and tells us, "The
- more I examine it, the more I am impressed by the astronomy
- involved in Marjorie Fish's work."
- During their examination of the map, Mitchell and some of
- his students inserted the positions of hundreds of nearby stars
- into a computer and had various space vistas brought up on a
- cathode ray tube readout. They requested the computer to put
- them in a position out beyond Zeta Reticuli looking toward the
- sun. From this viewpoint the map pattern obtained by Marjorie
- Fish was duplicated with virtually no variations. Mitchell noted
- an important and previously unknown fact first pointed out by Ms.
- Fish: The stars in the map are almost in a plane; that is, they
- fill a wheel shaped volume of space that makes star hopping from
- one to another easy and the logical way to go -- and that is what
- is implied by the map that Betty Hill allegedly saw.
- "I can find no major point of quibble with Marjorie Fish's
- interpretation of the Betty Hill map," says David R. Saunders, a
- statistics expert at the Industrial Relations Center of the
- University of Chicago. By various lines of statistical reasoning
- he concludes that the chances of finding a match among 16 stars
- of a specific spectral type among the thousand-odd stars nearest
- the sun is "at least 1,000 to 1 against".
- "The odds are about 10,000 to 1 against a random
- configuration matching perfectly with Betty Hill's map," Saunders
- reports. "But the star group identified by Marjorie Fish isn't
- quite a perfect match, and the odds consequently reduce to about
- 1,000 to 1. That is, there is one chance in 1,000 that the
- observed degree of congruence would occur in the volume of space
- we are discussing.
- "In most fields of investigation where similar statistical
- methods are used, that degree of congruence is rather
- persuasive," concludes Saunders.
- Saunders, who has developed a monumental computerized
- catalog of more than 60,000 UFO sightings, tells us that the Hill
- case is not unique in its general characteristics -- there are
- other known cases of alleged communication with
- extraterrestrials. But in no other case on record have maps ever
- been mentioned.
- Mark Steggert of the Space Research Coordination Center at
- the University of Pittsburgh developed a computer program that he
- calls PAR (for Perspective Alteration Routine) that can duplicate
- the appearance of star fields from various viewpoints in space.
- "I was intrigued by the proposal put forth by Marjorie Fish
- that she had interpreted a real star pattern for the alleged map
- of Betty Hill. I was incredulous that models could be used to do
- an astronometric problem," Steggert says. "To my surprise I
- found that the pattern that I derived from my program had a close
- correspondence to the data from Marjorie Fish."
- After several run-throughs, he confirmed the positions
- determined by Marjorie Fish. "I was able to locate potential
- areas of error, but no real errors," Steggert concludes.
- Steggert zeroed in on possibly the only real bone of
- contention that anyone has had with Marjorie Fish's
- interpretation: The data on some of the stars may not be
- accurate enough for us to make definitive conclusions. For
- example, he says the data from the Smithsonian Astrophysical
- Observatory Catalog, the Royal Astronomical Society Observatory
- Catalog, and the Yale Catalog of Bright Stars "have differences
- of up to two magnitudes and differences in distance amounting to
- 40 percent for the star Gliese 59". Other stars have less
- variations in the data from one catalog to another, but
- Steggert's point is valid. The data on some of the stars in the
- map is just not good enough to make a definitive statement. (The
- fact that measurements of most of the stars in question can only
- be made at the relatively poor equipped southern hemisphere
- observatories accounts for the less reliable data.)
- Using information on the same 15 stars from the Royal
- Observatory catalog (Annals #5), Steggert reports that the
- pattern does come out differently because of the different data,
- and Gliese 59 shows the largest variation. The Gliese catalog
- uses photometric, trigonometric and spectroscopic parallaxes and
- derives a mean from all three after giving various mathematical
- weights to each value. "The substantial variation in catalog
- material is something that must be overcome," says Steggert.
- "This must be the next step in attempting to evaluate the map."
- This point of view is shared by Jeffrey L. Kretsch, an
- undergraduate student who is working under the advisement of J.
- Allen Hynek at Northwestern University in Evanston, Ill. Like
- Steggert, he too checked Marjorie Fish's pattern and found no
- error in the work. But Kretsch reports that when he
- reconstructed the pattern using trigonometric distance
- measurements instead of the composite measures in the Gliese
- catalog, he found enough variations to move Gliese 95 above the
- line between Gliese 86 and Tau 1 Eridani.
- "The data for some of the stars seems to be very reliable,
- but a few of the pattern stars are not well observed and data on
- them is somewhat conflicting," says Kretsch. The fact that the
- pattern is less of a "good fit" using data from other sources
- leads Kretsch and others to wonder what new observations would
- do. Would they give a closer fit? Or would the pattern become
- distorted? Marjorie Fish was aware of the catalog variations,
- but has assumed the Gliese catalog is the most reliable source
- material to utilize.
- Is the Gliese catalog the best available data source.
- According to several astronomers who specialize in stellar
- positions, it probably is. Peter Van de Kamp says, "It's first
- rate. There is none better." He says the catalog was compiled
- with extensive research and care over many years.
- A lot of the published trigonometric parallaxes on the stars
- beyond 30 light-years are not as accurate as they could be,
- according to Kyle Cudworth of Yerkes Observatory. "Gliese added
- other criteria to compensate and lessen the possible errors," he
- says.
- The scientific director of the U.S. Naval Observatory, K.A.
- Strand, is among the world's foremost authorities on stellar
- distances for nearby stars. He believes the Gliese catalog "is
- the most complete and comprehensive source available."
-
-
- Frank B. Salisbury of the University of Utah has also
- examined the Hill and Fish maps. "The pattern of stars
- discovered by Marjorie Fish fits the map drawn by Betty Hill
- remarkably well. It's a striking coincidence and forces one to
- take the Hill story more seriously," he says. Salisbury is one
- of the few scientists who has spent some time on the UFO problem
- and has written a book and several articles on the subject. A
- professor of plant physiology, his biology expertise has been
- turned to astronomy on several occasions while studying the
- possibility of biological organisms existing on Mars.
- Salisbury insists that while psychological factors do play
- an important role in UFO phenomena, the Hill story does represent
- one of the most credible reports of incredible events. The fact
- that the story and the map came to light under hypnosis is good
- evidence that it actually took place. "But it is not unequivocal
- evidence," he cautions.
- Elaborating on this aspect of the incident, Mark Steggert
- offers this: "I am inclined to question the ability of Betty,
- under posthypnotic suggestion, to duplicate the pattern two years
- after she saw it. She noted no grid lines on the pattern for
- reference. Someone should (or perhaps has already) conduct a
- test to see how well a similar patter could be recalled after a
- substantial period of time. The stress she was under at the time
- is another unknown factor."
- "The derivation of the base data by hypnotic techniques
- is perhaps not as 'far out' as it may seem," says Stanton
- Friedman. "Several police departments around the country use
- hypnosis on rape victims in order to get descriptions of the
- assailants -- descriptions that would otherwise remain repressed.
- The trauma of such circumstances must be comparable in some ways
- to the Hill incident."
- Is it at all possible we are faced with a hoax?
- "Highly unlikely," says Salisbury -- and the other
- investigators agree. One significant fact against a charade is
- that the data from the Gliese catalog was not published until
- 1969, five years after the star map was drawn by Betty Hill.
- Prior to 1969, the data could only have been obtained from the
- observatories conducting research on the specific stars in
- question. It is not uncommon for astronomers not to divulge
- their research data -- even to their colleagues -- before it
- appears in print. In general, the entire sequence of events just
- does not smell of falsification. Coincidence, possibly; hoax,
- improbable.
- Where does all this leave us? Are there creatures
- inhabiting a planet of Zeta 2 Reticuli? Did they visit Earth in
- 1961? The map indicates that the sun has been "visited
- occasionally". What does that mean? Will further study and
- measurement of the stars in the map change their relative
- positions and thus distort the configuration beyond the limits of
- coincidence?
- The fact that the entire incident hinges on a map drawn
- under less than normal circumstances certainly keeps us from
- drawing a firm conclusion. Exobiologists are united in their
- opinion that the chance of us having neighbors so similar to us,
- apparently located so close, is vanishingly small. But then, we
- don't even know for certain if there is anybody at all out there
- -- anywhere -- despite the Hill map and pronouncements of the
- most respected scientists.
- The only answer is to continue the search. Someday, perhaps
- soon, we will know.
- =================================================================
-
- THE VIEW FROM ZETA RETICULI
-
- The two stars that comprise the Zeta Reticuli system are
- almost identical to the sun. Thy are the only known examples of
- two solar type stars apparently linked into a binary star system
- of wide separation.
- Zeta 1 is separated from Zeta 2 by at least 350 billion
- miles -- about 100 times the sun-Pluto distance. They may be
- even farther apart, but the available observations suggest they
- are moving through space together and are therefore physically
- associated. They probably require at least 100,000 years to
- orbit around their common center of gravity.
- Both Zeta 1 and Zeta 2 are prime candidates for the search
- for life beyond Earth. According to our current theories of
- planetary formation, they both should have a retinue of planets
- something like our solar system. As yet there is no way of
- determining if any of the probable planets of either star is
- similar to Earth.
- To help visualize the Zeta Reticuli system, let's take the
- sun's nine planets and put them in identical orbits around Zeta
- 2. From a celestial mechanics standpoint there is no reason why
- this situation could not exist. Would anything be different?
- Because of Zeta 2's slightly smaller mass as compared with the
- sun, the planets would orbit a little more slowly. Our years
- might have 390 days, for example. Zeta 2 would make a fine sun -
- - slightly dimmer than "old Sol", but certainly capable of
- sustaining life. The big difference would not be our new sun but
- the superstar of the night sky. Shining like a polished gem,
- Zeta 1 would be the dazzling highlight of the night sky -- unlike
- anything we experience here on Earth. At magnitude -9 it would
- appear as a starlike point 100 times brighter than Venus. It
- would be like compressing all the light from the first quarter
- moon into a point source.
- Zeta 1 would have long ago been the focus of religions,
- mythology and astrology if it were in earthly skies. The fact
- that it would be easily visible in full daylight would give Zeta
- 1 supreme importance to both early civilizations and modern man.
- Shortly after the invention of the telescope astronomers would be
- able to detect Jupiter and Saturn sized planets orbiting around
- Zeta 1. Jupiter would be magnitude +12, visible up to 4.5
- minutes of arc from Zeta 1 (almost as far as Ganymede swings from
- Jupiter). It would not make a difficult target for an eight inch
- telescope. Think of the incentive that discovery would have on
- interstellar space travel! For hundreds of years we would be
- aware of another solar system just a few "light-weeks" away. The
- evolution of interstellar spaceflight would be rapid, dynamic and
- inevitable.
- By contrast, our nearest solar type neighbor is Tau Ceti at
- 12 light-years. Even today we only suspect it is accompanied by
- a family of planets, but we don't know for sure.
- From this comparison of our planetary system with those of
- Zeta Reticuli, it is clear that any emerging technologically
- advanced intelligent life would probably have great incentive to
- achieve star flight. The knowledge of a nearby system of planets
- of a solar type star would be compelling -- at least it would
- certainly seem to be.
- What is so strange -- and this question prompted us to
- prepare this article -- is: Why, of all stars, does Zeta
- Reticuli seem to fit as the hub of a map that appeared inside a
- spacecraft that allegedly landed on Earth in 1961? Some of the
- circumstances surrounding the whole incident are certainly
- bizarre, but not everything can be written off as coincidence or
- hallucination. It may be optimistic, on one extreme, to hope
- that our neighbors are as near as 37 light-years away. For the
- moment we will be satisfied with considering it an exciting
- possibility.
- =================================================================
-
- THE AGE OF NEARBY STARS
-
- By Jeffrey L. Kretsch
-
- The age of our own sun is known with some accuracy largely
- because we live on one of its planets. Examination of Earth
- rocks -- and, more recently, rocks and soil from the moon -- has
- conclusively shown that these two worlds went through their
- initial formation 4.6 billion years ago. The formation of the
- sun and planets is believed to have been virtually simultaneous,
- with the sun's birth producing the planetary offspring.
- But we have yet to travel to any other planet -- and
- certainly a flight to the surface of a planet of a nearby star is
- an event no one reading this will live to witness. So direct
- measurement of the ages of nearby stars -- as a by-product of
- extrasolar planetary exploration -- is a distant future
- enterprise. We are left with information obtained from our
- vantage point here near Earth. There is lots of it -- so let's
- find out what it is and what it can tell us.
- When we scan the myriad stars of the night sky, are we
- looking at suns that have just ignited their nuclear fires -- or
- have they been flooding the galaxy with light for billions of
- years? The ages of the stars are among the most elusive stellar
- characteristics. Now, new interpretation of data collected over
- the past half century is shedding some light on this question.
- Computer models of stellar evolution reveal that stars have
- definite lifespans; thus, a certain type of star cannot be older
- than its maximum predicted lifespan. Solar type stars of
- spectral class F5 or higher (hotter) cannot be older than our sun
- is today. These stars' nuclear fires burn too rapidly to sustain
- them for a longer period, and they meet an early death.
- All main sequence stars cooler than F5 can be as old or
- older than the sun. Additionally, these stars are also much more
- likely to have planets than the hotter suns.
-
-
- There are several exciting reasons why the age of a star
- should be tracked down. Suppose we have a star similar to the
- sun (below class F5). If we determine how old the star is, we
- can assume its planets are the same age -- a fascinating piece of
- information that suggests a host of questions: Would older
- Earthlike planets harbor life more advanced than us? Is there
- anything about older or younger stars and planets that would make
- them fundamentally different from the sun and Earth?
- Of course we don't know the answer to the first question,
- but it is provocative. The answer to the second question seems
- to be yes (according to the evidence that follows).
- To best illustrate the methods of star age determination and
- their implications, let's select a specific problem. "The Zeta
- Reticuli Incident" sparked more interest among our readers than
- any other single article in ASTRONOMY's history. Essentially,
- that article drew attention to a star map allegedly seen inside
- an extraterrestrial spacecraft. The map was later deciphered by
- Marjorie Fish, now a research assistant at Oak Ridge National
- Laboratory in Tennessee.
- In her analysis, Ms. Fish linked all 16 prominent stars in
- the original map (which we'll call the Hill map since it was
- drawn by Betty Hill in 1966) to 15 real stars in the southern
- sky. The congruence was remarkable. The 15 stars -- for
- convenience we will call them the Fish-Hill pattern stars -- are
- listed on the accompanying table.
- Since these stars have been a focus of attention due to Ms.
- Fish's work and the article mentioned above, we will examine them
- specifically to see if enough information is available to pin
- down their ages and (possibly) other characteristics. This will
- be our case study star group.
-
- ==============================================================================
-
- THE FISH-HILL PATTERN STARS
-
- GLIESE ALTERNATE SPECTRAL W - TOTAL GALACTIC GALACTIC
- CAT. NO. NAME TYPE VELOCITY SPACE ORBIT ORBIT
- VELOCITY ECCENTRICITY INCL.
- -------- --------- -------- -------- -------- ------------ --------
- 17 Zeta Tucanae G2 -38 70 0.1575 .0529
- 27 54 Piscium K0 10 45 0.1475 .0260
- 59 HD 9540 G8 1 26 0.0436 .0133
- 67 HD 10307 G2 0 45 0.1057 .0092
- 68 107 Piscium K1 3 43 0.1437 .0134
- 71 Tau Ceti G8 12 36 0.2152 .0287
- 86 HD 13445 K0 -25 129 0.3492 .0269
- 86.1 HD 13435 K2 -37 41 undetermined undetermined
- 95 HD 14412 G5 -10 33 0.1545 .0025
- 97 Kappa Fornax G1 -13 35 0.0186 .0078
- 111 Tau 1 Eridani F6 14 81 0.0544 .0078
- 136 Zeta 1
- Reticuli G2 15 79 0.2077 .0321
- 138 Zeta 2
- Reticuli G1 -27 127 0.2075 .0340
- 139 82 Eridani G5 -12 37 0.3602 .0310
- 231 Alpha Mensae G5 -13 22 0.1156 .0065
- Sun Sol G5 0 0 0.0559 .0091
-
- All the stars listed here are main sequence or spectral group V stars. Tau
- Ceti has a slight peculiarity in its spectrum as explained in the text. W-
- velocity is the star's motion in km/sec in a direction above or below (-) in
- the galactic plane. Total space velocity relative to the sun is also in
- km/sec. Data is from the Gliese Catalog of Nearby Stars (1969 edition).
- ==============================================================================
-
- Consider, for example, the velocities of these stars in
- space. It is now known that the composition and the age of a
- star shows a reasonably close correlation with that star's
- galactic orbit. The understanding of this correlation demands a
- little knowledge of galactic structure.
- Our galaxy, as far as we are concerned, consists essentially
- of two parts -- the halo, and the disk. Apparently when the
- galaxy first took shape about 10 billion years ago, it was a
- colossal sphere in which the first generation of stars emerged.
- These stars -- those that remain today, anyway -- define a
- spherical or halolike cloud around the disk shaped Milky Way
- galaxy. Early in the galaxy's history, it is believed that the
- interstellar medium had a very low metal content because most of
- the heavy elements (astronomers call any element heavier than
- helium "heavy" or a "metal") are created in the cores of massive
- stars which then get released into the interstellar medium by
- stellar winds, novae and supernovae explosions. Few such massive
- stars had "died" to release their newly made heavy elements.
- Thus, the stars which formed early (called Population II stars)
- tend to have a spherical distribution about the center of the
- galaxy and are generally metal-poor.
- A further gravitational collapse occurred as the galaxy
- flattened out into a disk, and a new burst of star formation took
- place. Since this occurred later and generations of stars had
- been born and died to enrich the interstellar medium with heavy
- elements, these disk stars have a metal-rich composition compared
- to the halo stars. Being in the disk, these Population I stars
- (the sun, for example) tended to have motions around the galactic
- core in a limited plane -- something like the planets of the
- solar system.
- Population II stars -- with their halo distribution --
- usually have more random orbits which cut through the Population
- I hoards in the galactic plane. A star's space velocity
- perpendicular to the galactic plane is called its W-velocity.
- Knowing the significance of the W-velocity, one can apply this
- information to find out about the population classification
- and hence the ages and compositions of stars in the solar
- neighborhood -- the Fish-Hill stars in particular.
- High W-velocity suggests a Population II star, and we find
- that six of the 16 stars are so classified while the remaining
- majority are of Population I. A further subdivision can be made
- using the W-velocity data (the results are shown in the table
- below.
-
- =================================================================
-
- POPULATION CLASSIFICATION OF THE FISH-HILL STARS
-
- OLD POPULATION I (1 TO 4 BILLION YEARS OLD)
- Gliese 59
- Gliese 67
- 107 Piscium
-
- OLDER POPULATION I (4 TO 6 BILLION YEARS OLD)
- Tau 1 Eridani
- Tau Ceti
- Alpha Mensae
- Gliese 95
- Kappa Fornax
- 54 Piscium
- Sun
-
- DISK POPULATION II (6 TO 8 BILLION YEARS OLD)
- Zeta 1 Reticuli
- Zeta 2 Reticuli
-
- INTERMEDIATE POPULATION II (ABOUT 10 BILLION YEARS OLD)
- Zeta Tucanae
- Gliese 86
- Gliese 86.1
- 82 Eridani
-
- ==================================================================
-
- According to this classification system (based on one by A.
- Blaauw), most of the 16 stars are in the same class as the sun --
- implying that they are roughly of the same composition and age as
- the sun. The sun would seem to be a natural unit for use in
- comparing the chemical compositions and ages of the stars of the
- Fish-Hill pattern because it is, after all, the standard upon
- which we base our selection of stars capable of supporting life.
- Three stars (Gliese 59, 67 and 68) are known as Old
- Population I and are almost certainly younger than the sun. They
- also probably have a higher metal content than the sun, although
- specific data is not available. The Disk Population II stars are
- perhaps two to four billion years older than the sun, while the
- Intermediate Population II are believed to be a billion or two
- years older still.
- For main sequence stars like the sun, as all these stars
- are, it is generally believed that after the star is formed and
- settled on the main sequence no mixing between the outer layers
- and the thermo-nuclear core occurs. Thus the composition of the
- outer layers of a star, (from which we receive the star's light)
- must have essentially the same composition as the interstellar
- medium out of which the star and its planets were formed.
-
-
- Terrestrial planets are composed primarily of heavy
- elements. The problem is: If there is a shortage of heavy
- elements in the primeval nebula, would terrestrial planets be
- able to form? At present, theories of planetary formation are
- unable to state for certain what the composition of the cloud
- must be in order for terrestrial planets to materialize, although
- it is agreed to be unlikely that Population II stars should have
- terrestrial planets. But for objects somewhere between
- Population I and II -- especially Disk Population II -- no one
- really knows.
- Although we can't be certain of determining whether a star
- of intermediate metal deficiencies can have planets or not, we
- can make certain of the existence of metal deficiencies in those
- stars. The eccentricities and inclinations of the galactic
- orbits of the Fish-Hill stars provide the next step in the
- information sequence.
- The table above also shows that the stars Gliese 136, 138,
- 139, 86 and 71 have the highest eccentricities and inclinations
- in their galactic orbits. This further supports the Population
- II nature of these four stars. According to B.E.J. Pagel of the
- Royal Greenwich Observatory in England, the correlation between
- eccentricity and the metal/hydrogen ratio is better than that
- between the W-velocity and the metal/hydrogen ratio. It is
- interesting to see how closely the values of eccentricity seem to
- correspond with Population type as derived from W-velocity -- Old
- Population I objects having the lowest values. Since the two
- methods give similar results, we can lend added weight to our
- classification.
- So far all the evidence for metal deficiencies has been
- suggestive; no direct evidence has been given. However, specific
- data can be obtained from spectroscopic analysis. The system for
- which the best set of data exists also happens to be one of the
- most important stars of the pattern, Zeta 1 Reticuli. In 1966,
- J.D. Danziger of Harvard University published results of work he
- had done on Zeta 1 Reticuli using wide-scan spectroscopy. He did
- indeed find metal deficiencies in the star: carbon, 0.2,
- compared to our sun; magnesium, 0.4; calcium, 0.5; titanium, 0.4;
- chromium, 0.3; manganese, 0.4; iron, 0.4; cobalt, 0.4; nickel,
- 0.2, and so on.
- In spite of the possible error range of about 25 percent,
- there is a consistent trend of metal deficiencies -- with Zeta 1
- Reticuli having less than half the heavy elements per unit mass
- that the sun does. Because Zeta 1 Reticuli has common proper
- motion and parallax with Zeta 2 Reticuli, it probably also has
- the same composition. Work done by M.E. Dixon of the University
- of Edinburgh showing the two stars to have virtually identical
- characteristics tends to support this.
- The evidence that the Zeta Reticuli system is metal
- deficient is definite. From this knowledge of metal deficiency
- and the velocities and eccentricities, we can safely conclude
- that the Zeta Reticuli system is older than the sun. The
- question of terrestrial planets being able to form remains open.
- The other two stars which have high velocities and
- eccentricities are 82 Eridani (Gliese 139) and Gliese 86.
- Because the velocities of these stars are higher than those of
- Zeta Reticuli, larger metal deficiencies might be expected. For
- the case of Gliese 86, no additional information is presently
- available. However, some theoretical work has been done on 82
- Eridani concerning metal abundances by J. Hearnshaw of France's
- Meudon Observatory.
- Although 82 Eridani is a high velocity star, its orbit lies
- largely within the galactic plane, and also within the solar
- orbit. Its orbit is characteristic of the Old Disk Population,
- and an ultraviolet excess indicates only a mild metal deficiency
- compared to the sun. Hearnshaw's conclusions indicate that the
- metal deficiency does not appear to be any worse than that of the
- Zeta Reticuli pair.
- Because Gliese 86 has a velocity, eccentricity and
- inclination similar to 82 Eridani, it seems likely that its
- chemical composition may also not have severe metal deficiencies,
- but be similar to those of 82 Eridani.
- Tau Ceti appears to be very much like the sun except for
- slight deficiencies of most metals in rarely seen abnormal
- abundances of magnesium, titanium, silicon and calcium. Stars in
- this class are known as alpha-rich stars, but such properties do
- not appear to make Tau Ceti unlikely to have planets similar to
- the sun's.
- Tau 1 Eridani, an F6V star, has a life expectancy of 4.5
- billion years -- so it cannot be older than the sun. The low
- eccentricities and low moderate velocity support an age and
- composition near that of the sun.
- Gliese 67 is a young star of at least solar metal
- abundances, considering its low velocity and eccentricity.
- Having covered most of the stars either directly or simply
- by classifying them among the different Population classes, it is
- apparent that there is a wide age range among different stars of
- this group as well as a range of compositions. It is curious
- that the stars connected by the alleged "trade routes" (solid
- lines) are the older and occasionally metal deficient ones --
- while the stars connected by dotted lines seem to be younger
- Population I objects.
- A final point concerning the metal deficiencies is rather
- disturbing. Even though terrestrial planets might form about
- either star in the Zeta Reticuli system, there is a specific
- deficiency in carbon to well within the error range. This is
- disturbing because carbon is the building block of organic
- molecule chains. There is no way of knowing whether life on
- Earth would have emerged and evolved as far as it has if carbon
- were not as common here.
- Another problem: If planets formed but lacked large
- quantities of useful industrial elements, could a technical
- civilization arise? If the essential elements were scarce or
- locked up in chemical compounds, then an advanced technology
- would be required to extract them. But the very shortage of
- these elements in the first place might prevent this technology
- from being realized. The dolphins are an example of an
- intelligent but nontechnical race. They do not have the means to
- develop technology. Perhaps some land creatures on another
- planet are in a comparable position by not having the essential
- elements for technological development. (This theme is explored
- in detail in "What Chariots of Which Gods?", August 1974.)
- This whole speculation certainly is not strong enough to
- rule out the Fish interpretation of the Hill map given our
- present state of knowledge. Actually in some respects, the metal
- deficiencies support the Fish hypothesis because they support an
- advanced age for several of the stars -- suggesting that if
- cultures exist in these star systems, they might well be advanced
- over our own.
- The fact that none of the stars in the pattern is seriously
- metal deficient (especially the vital branch high velocity stars
- 82 Eridani and Gliese 86) is an encouragement to the Fish
- interpretation -- if terrestrial planets can form in the first
- place and give rise to technical civilizations. Once again we
- are confronted with evidence which seems to raise as many
- questions as it answers. But the search for answers to such
- questions certainly can only advance knowledge of our cosmic
- environment.
-
- Jeffrey L. Kretsch is an astronomy student at Northwestern
- University working under the advisement of Dr. J. Allen Hynek.
- For more than a year Kretsch has been actively pursuing follow-up
- studies to the astronomical aspects of the Fish-Hill map. More
- of his studies and comment s appear in In Focus.
- =================================================================
-
- COMMENTARY
-
- Editor's Preface
-
- The lead article in the December 1974 issue of ASTRONOMY,
- entitled "The Zeta Reticuli Incident", centered on interpretation
- of a map allegedly seen inside an extraterrestrial spacecraft.
- The intent of the article was to expose to our readers a rare
- instance where astronomical techniques have been used to analyze
- a key element in a so-called "close encounter" UFO incident.
- While not claiming that the analysis of the map was proof of a
- visit by extraterrestrials, we feel the astronomical aspects of
- the case are sufficiently intriguing to warrant wide
- dissemination and further study.
- The following notes contain detailed follow-up commentary
- and information directly related to that article.
- =================================================================
-
- PATTERN RECOGNITION & ZETA RETICULI
-
- By Carl Sagan & Steven Soter
-
- "The Zeta Reticuli Incident" is very provocative. It claims
- that a map, allegedly shown on board a landed extraterrestrial
- spacecraft to Betty Hill in 1961, later drawn by her from memory
- and published in 1966, corresponds well to similar maps of the
- closest stars resembling the sun based on stellar positions in
- the 1969 Gliese Catalog of Nearby Stars. The comparison maps
- were made by Marjorie Fish using a three dimensional physical
- model and later by a group of Ohio State University students
- using a presumably more accurate (i.e., less subjective) computer
- generated projection. The argument rests on how well the maps
- agree and on the statistical significance of the comparison.
- Figure 1 [not available here] show the Hill map and the
- Ohio State computer map with connecting lines as given in the
- ASTRONOMY article. The inclusion of these lines (said to
- represent trade or navigation routes) to establish a resemblance
- between the maps is what a lawyer would call "leading the
- witness". We could just as well have drawn lines as in the
- bottom of Figure 1 to lead the other way. A less biased
- comparison of the two data sets, without connecting lines as in
- Figure 2, shows little similarity. Any residual resemblance is
- enhanced by there being the same number of points in each map,
- and can be accounted for by the manner in which these points were
- selected.
- The computer star map includes the sun and 14 stars selected
- from a list of the 46 nearest stars similar to the sun, derived
- from the Gliese catalog. It is not clear what criteria were used
- to select precisely these 14 stars from the list, other than the
- desire to find a resemblance to the Hill map. However, we can
- always pick and choose from a large random data set some subset
- that resembles a preconceived pattern. If we are free also to
- select the vantage point (from all possible directions for
- viewing the projection of a three dimensional pattern), it is a
- simple matter to optimize the desired resemblance. Of course
- such a resemblance in the case of selection from a random set is
- a contrivance -- an example of the statistical fallacy known as
- "the enumeration of favorable circumstances".
- The presence of such a fallacy in this case appears even
- more likely when we examine the original Hill drawing, published
- in The Interrupted Journey by John Fuller. In addition to the
- prominent points that Betty Hill connected by lines, her map also
- includes a number of apparently random dots scattered about --
- evidently to represent the presence of background stars but not
- meant to suggest actual positions. However, three of these dots
- appear in the version of the Hill map used in the comparison,
- while the others are absent. Thus some selection was made even
- from the original Hill map, although not to the same extent as
- from the Gliese catalog. This allow even greater freedom to
- contrive a resemblance.
- Finally, we lear from The Interrupted Journey that Betty
- Hill first thought she saw a remarkable similarity between her
- UFO star map and a map of the constellation Pegasus published in
- the New York Times in 1965 to show the position of the quasar
- CTA-102. How many star maps, derived from the Gliese catalog or
- elsewhere, have been compared with Betty Hill's before a supposed
- agreement was found? If we suppress information on such
- comparisons we also overestimate the significance of the result.
- The argument on "The Zeta Reticuli Incident" demonstrates
- only that if we set out to find a pattern correlation between two
- nearly random data sets by selecting at will certain elements
- from each and ignoring others, we will always be successful.
- The argument cannot serve even to suggest a verification of the
- Hill story -- which in any case is well known to be riddled with
- internal and external contradictions, and which is amenable to
- interpretations which do not invoke extraterrestrial
- intelligence. Those of us concerned with the possibility of
- extraterrestrial intelligence must take care to demand adequately
- rigorous standards of evidence. It is all too easy, as the old
- Chinese proverb says, for the imprisoned maiden to mistake the
- beating of her own heart for the hoof beats of her rescuer's
- horse.
-
- Steven Soter is a research associate working under the advisement
- of Carl Sagan, director of Cornell University's laboratory for
- Planetary Studies.
- =================================================================
-
- REPLY: By Terence Dickinson
-
- The question raised by Steven Soter and Carl Sagan
- concerning the pattern resemblance of the Hill map and the
- computer generated projection of the Fish pattern stars is
- certainly a key question worthy of discussion. Next month two
- authors will make specific comments on this point.
- Briefly, there is more to discounting the Fish
- interpretation than pattern resemblance. We would have
- discounted the Fish interpretation immediately on pattern
- resemblance alone. The fact that all the connecting lines join
- stars in a logical distance progression, and that all the stars
- are solar type stars, is significant. Ms. Fish tried to fit
- hundreds of other viewpoints and this one was the only one that
- even marginally fit and made sense in three dimensions and
- contained solar type stars. in this context, you could not "have
- just as well drawn the lines...to lead the other way".
- Naturally there was a desire to find a resemblance between a
- group of nearby stars and the Hill pattern! That's why Marjorie
- Fish built six models of the solar neighborhood containing the
- relative positions of up to 256 nearby stars. The fact that she
- came up with a pattern that fits as well as it does is a tribute
- to her perseverance and the accuracy of the models. Stars cannot
- be moved around "to optimize the desired resemblance". Indeed
- Marjorie Fish first tried models using nearby stars of other than
- strictly solar type as defined in the article. She found no
- resemblances.
- The three triangle dots selected from the background dots in
- the Hill map were selected because Mrs. Hill said they were more
- prominent than the other background stars. Such testimony was
- the basis of the original map so we either accept Mrs. Hill's
- observations and attempt to analyze them or reject the whole
- incident. We feel there is sufficient evidence compelling us not
- to reject the whole incident at this time.
- We too are demanding rigorous standards of evidence to
- establish the reality of extraterrestrial intelligence. If there
- is even the slightest possibility that the Hills' encounter can
- provide information about such life, we feel it is worth
- pursuing. The map is worthy of examination by as many critical
- minds as possible.
- =================================================================
-
-
- REPLY: By David R. Saunders
-
- Last month, Steven Soter and Carl Sagan offered two
- counterarguments relating to Terence Dickinson's article, "The
- Zeta Reticuli Incident" (ASTRONOMY, December 1974).
- Their first argument was to observe that the inclusion of
- connecting lines in certain maps "is what a lawyer would call
- 'leading the witness'." This was used as the minor premise in a
- syllogism for which the major premise was never stated. Whether
- we should consider "leading the witness" a sin or not will depend
- on how we conceive the purpose of the original article. The
- implied analogy between ASTRONOMY magazine and a court of law is
- tenuous at best; an expository article written for a
- nonprofessional audience is entitled, in my opinion, to do all it
- can to facilitate communication -- assuming that the underlying
- message is honest. Much of what we call formal education is
- really little more than "leading the witness", and no one who
- accepts the educational goals objects very strongly to this
- process. In this context, we may also observe that Soter's and
- Sagan's first argument provides another illustrative example of
- "leading the witness"; the argument attacks procedure, not
- substance -- and serves only to blunt the reader's possible
- criticism of the forthcoming second argument. This paragraph may
- also be construed as an effort to lead the witness. Once we have
- been sensitized to the possibilities, none of us needs to be
- further misled!
- The second argument offered by Soter and Sagan does attack a
- substance. Indeed, the editorial decision to publish the
- original article was a responsible decision only if the issues
- raised by this second line of possible argument were fully
- considered. Whenever a statistical inference is made from
- selected data, it is crucial to determine the strenuousness of
- that selection and then to appropriately discount the apparent
- clarity of the inference. By raising the issue of the possible
- effects of selection, Soter and Sagan are right on target.
- However, by failing to treat the matter with quantitative
- objectivity ( by failing to weigh the evidence in each direction
- numerically, for example), they might easily perform a net
- disservice.
- In some situations, the weight of the appropriate discount
- will suffice to cancel the clarity of a proposed inference -- and
- we will properly dismiss the proposal as a mere capitalization on
- chance, or a lucky outcome. (It is abundantly clear that Soter
- and Sagan regard the star map results as just such a fortuitous
- outcome.) In some other situations, the weight of the
- appropriate discount may be fully applied without accounting for
- the clarity of the inference as a potentially valid discovery.
- For example, if I proposed to infer from four consecutive coin
- tosses observed as heads that the coin would always yield heads,
- you would properly dismiss this proposal as unwarranted by the
- data. However, if I proposed exactly the same inference based on
- 40 similar consecutive observations of heads, you would almost
- certainly accept the inference and begin looking with me for a
- more systematic explanation of the data. The crucial difference
- here is the purely quantitative distinction between 4 and 40; the
- two situations are otherwise identical and cannot be
- distinguished by any purely qualitative argument.
- When Soter and Sagan use phrases such as "some subset that
- resembles", "free also to select the vantage point", "simple
- matter to optimize", and "freedom to contrive a resemblance",
- they are speaking qualitatively about matters that should (and
- can) be treated quantitatively. Being based only on this level
- of argument, Soter's and Sagan's conclusions can only be regarded
- as inconclusive.
- A complete quantitative examination of this problem will
- require the numerical estimation of at least three factors, and
- their expression in a uniform metric so that wee can see which
- way the weight of the evidence is leaning. The most convenient
- common metric will be that of "bits of information", which is
- equivalent to counting consecutive heads in the previous example.
- One key factor is the degree of resemblance between the Hill
- map and the optimally similar computer-drawn map. Precisely how
- many consecutive heads is this resemblance equivalent to? A
- second key factor is the precise size of the population of stars
- from which the computer was allowed to make its selection. And a
- third key factor is the precise dimensionality of the space in
- which the computer was free to choose the best vantage point. If
- the first factor exceeds the sum of the other two by a sufficient
- margin, we are justified in insisting on a systematic explanation
- for the data.
- The third factor is the easiest to deal with. The
- dimensionality of the vantage-point space is not more than three.
- A property of the metric system for weighing evidence is that
- each independent dimension of freedom leads us to expect the
- equivalent of one more consecutive head in the observed data.
- Three dimensions of freedom are worth exactly 3.0 bits. In the
- end, even three bits will be seen as relatively minor.
- The second factor might be much larger than this, and
- deserve relatively more discussion. The appropriate discount for
- this selection will be log2C, where C is the number of distinct
- combinations of stars "available" to the computer. If we were to
- agree that C must represent the possible combinations of 46 stars
- taken 14 at a time, then log2C would be 37.8 bits; this would be
- far more than enough to kill the proposed inference. However,
- not all these combinations are equally plausible. We really
- should consider only combinations that are adjacent to one
- another and to the sun, but it is awkward to try to specify
- exactly which combinations these are.
- The really exciting moment in working with these data came
- with the realization that in the real universe, our sun belongs
- to a closed cluster together with just six of the other
- admissible stars -- Tau Ceti, 82 Eridani, Zeta Tucanae, Alpha
- Mensae, and Zeta 1 and Zeta 2 Reticuli. The real configuration
- of interstellar distances is such that an explorer starting from
- any of the seven should visit all of them before venturing
- outside. If the Hill map is assumed to include the sun, then it
- should include the other members of this cluster within an
- unbroken network of connections, and the other connected stars
- should be relatively adjacent in the real universe.
- Zeta Reticuli occupies a central position in all of the
- relatively few combinations that now remain plausible. However,
- in my opinion, the adjacency criteria do leave some remnant
- ambiguity concerning the combination of real stars to be matched
- against the Hill map -- but only with respect to the region
- farthest from the sun. The stars in the closed cluster and those
- in the chain leading to Gliese 67 must be included, as well as
- Gliese 86 and two others from a set of five candidates. Log2C
- for this remnant selection is 3.9 bits. we must also notice that
- the constraint that Zeta Tucanae be occulted by Zeta Reticuli
- reduces the dimensionality of the vantage-point space from 3.0 to
- 1.0. Thus, the sum of factors two and three is now estimated as
- only 4.9 bits.
- The first factor is also awkward to evaluate -- simply
- because there is no standard statistical technique for comparing
- points on two maps. Using an approximation based on rank-order
- correlation, I've guessed that the number we seek here is between
- 11 and 16. (This is the result cited by Dickinson on page 15 of
- the original article.) Deducting the second and third factors,
- this rough analysis leaves us with an empirical result whose net
- meaning is equivalent to observing at least 6 to 11 consecutive
- heads. (I say "at least", because there are other factors
- contributing to the total picture -- not discussed either by
- Dickinson or by Soter and Sagan -- that could be adduced to
- enhance this figure. For example, the computed vantage point is
- in good agreement with Betty Hill's reported position when
- observing the map, and the coordinate system implicit in the
- boundaries of the map is in good agreement with a natural
- galactic coordinate system. Neither have we discussed any
- quantitative use of the connections drawn on the Hill map, which
- were put there in advance of any of these analyses.)
- In the final interpretation, it will always be possible to
- argue that 5 or 10 or even 15 bits of remarkable information
- simply isn't enough. However, this is a matter for each of us to
- decide independently. In deciding this matter, it is more
- important that we be consistent with ourselves (as we review a
- large number of uncertain interpretations of data that we have
- made) than that we be in agreement with some external authority.
- I do believe, though, that relatively few individuals will
- continue a coin-tossing match in which their total experience is
- equivalent to even six consecutive losses. In scientific
- matters, my own standard is that I'm interested in any result
- that has five or more bits of information supporting it -- though
- I prefer not to stick my neck out publicly on the basis of less
- than 10. Adhering to this standard, I continue to find the star
- map results exceedingly interesting.
-
- Dr. David R. Saunders is a Research Associate at the University
- of Chicago's Industrial Relations Center.
- =================================================================
-
-
- REPLY: By Michael Peck
-
- Carl Sagan and Steven Soter, in challenging the
- possibilities discussed in "The Zeta Reticuli Incident",
- suggest that without the connecting lines drawn into the Hill map
- and the Fish interpretation there is little resemblance between
- the two. This statement can be tested using only X and Y
- coordinates of the points in the Hill map and a projection of the
- stars in the Fish pattern. The method used for the comparison
- can be visualized this way:
- Suppose points of the Hill map and the Fish map are plotted
- on separate glass plates. These plates are held parallel (one
- behind the other), and are moved back and forth and rotated until
- the patterns appear as nearly as possible to match. A systematic
- way of comparing the patterns would be to adjust the plates until
- corresponding pairs of points match exactly. Then the other
- points in the patterns can be compared. Repeating this process
- for all the possible pairs of points (there are 105 in this
- case), the best fit can be found. Mathematically, this involves
- a change of scale and a simple coordinate transformation. A
- computer program was written which, using X and Y coordinates
- measured from a copy of the Hill map and a projection of the Fish
- stars, and using the Hill map as the standard, computed new X and
- Y coordinates for the Fish stars using the process described.
- >From these two sets of coordinates, six quantities were
- calculated: the average difference in X and Y; the standard
- deviation of the differences in X and Y, a measure of the amount
- of variation of the differences; and correlation coefficients in
- X and Y. The coefficient of correlation is a quantity used by
- statisticians to test a suspected relation between two sets of
- data. In this case, for instance, we suspect that the X and Y
- coordinates computed from the Fish map should equal the X and Y
- coordinates of the Hill map. If they matched exactly, the
- correlation coefficients would be one. If there were no
- correlation at all, the value would be near zero. We found that,
- for the best fitting orientation of the Fish stars, there was a
- correlation coefficient in X of 0.95 and in Y of 0.91. In
- addition, the average difference and the standard deviation of
- the differences were both small -- about 1/10 the total range in
- X and Y. As a comparison, the same program was run for a set of
- random points, with resulting correlation coefficients of 1/10 or
- less (as was expected). We can conclude, therefore, that the
- degree of resemblance between the two maps is fairly high.
- From another point of view, it is possible to compute the
- probability that a random set of points will coincide with the
- Hill map to the degree of accuracy observed here. The
- probability that 15 points chosen at random will fall on the
- points of the Hill map within an error range which would make
- them as close as the Fish map is about one chance in 10 to the
- fifteenth power (one million billion). It is 1,000 times more
- probable that a person could predict a bridge hand dealt from a
- fair deck.
-
- Michael Peck is an astronomy student at Northwestern University
- in Illinois.
- =================================================================
-
- REBUTTAL: To David Saunders and Michael Peck
- By Carl Sagan and Steven Soter
-
- Dr. David Saunders last month claimed to have demonstrated
- the statistical significance of the Hill map, which was allegedly
- found on board a landed UFO and supposedly depicted the sun and
- 14 nearby sunlike stars. The Hill map was said to resemble the
- Fish map -- the latter being an optimal two-dimensional
- projection of a three-dimensional model prepared by selecting 14
- stars from a positional list of the 46 nearest known sunlike
- stars. Saunders' argument can be expressed by the equation SS =
- Dr -(SF + VP), in which all quantities are in information bits.
- SS is the statistical significance of the correlation between the
- two maps, DR is the degree of resemblance between them, SF is a
- selection factor depending on the number of stars chosen and the
- size of the list, and VP is the information content provided by a
- free choice in three dimensions of the vantage point for
- projecting the map. Saunders finds SS = 6 to 11 bits, meaning
- that the correlation is equivalent to between 6 and 11
- consecutive heads in a coin toss and therefore probably not
- accidental. The procedure is acceptable in principle, but the
- result depends entirely on how the quantities on the right-hand
- side of the equation were chosen.
- For the degree of resemblance between the two maps, Saunders
- claims that DR = 11 to 16 bits, which he admits is only a guess
- -- but we will let it stand. For the selection factor, he at
- first takes SF = log2C = 37.8 bits, where C represents the
- combinations of 46 things taken 14 at a time. Realizing that the
- size of this factor alone will cause SS to be negative and wipe
- out his argument, he makes a number of ad hoc adjustments based
- essentially on his interpretation of the internal logic of the
- Hill map, and SF somehow gets reduced to only 3.9 bits. For the
- present, we will let even that stand in order to avoid becoming
- embroiled in a discussion of how an explorer from the star Zeta
- Reticuli would choose to arrange his/her/its travel itinerary --
- a matter about which we can claim no particular knowledge.
- However, we must bear in mind that a truly unprejudiced
- examination of the data with no a priori interpretations would
- give SF = 37.8 bits.
- It is Saunders' choice of the vantage point factor VP with
- which we must take strongest issue, for this is a matter of
- geometry and simple pattern recognition. Saunders assumes that
- free choice of the vantage point for viewing a three-dimensional
- model of 15 stars is worth only VP = 3 bits. He then reduces the
- information content of directionality to one bit by introducing
- the "constraint" that the star Zeta Tucanae be occulted by Zeta
- Reticuli (with no special notation on the Hill map to mark this
- peculiarity). This ad hoc device is invoked to explain the
- absence of Zeta Tucanae from the Hill map, but it reveals the
- circular reasoning involved. After all, why bother to calculate
- the statistical significance of the supposed map correlation if
- one has already decided which points represent which stars?
- Certainly the selection of vantage point is worth more than
- three bits (not to mention one bit). Probably the easiest
- circumstance to recognize and remember about random projections
- of the model in question are the cases in which two stars appear
- to be immediately adjacent. By viewing the model from all
- possible directions, there are 14 distinct ways in which any
- given star can be seen in projection as adjacent to some other
- star. This can be done for each of the 15 stars, giving 210
- projected configurations -- each of which would be recognized as
- substantially different from the others in information content.
- And of course there are many additional distinct recognizable
- projections of the 15 stars not involving any two being
- immediately adjacent. (For example, three stars nearly
- equidistant in a straight line are easily recognized, as in
- Orion's belt.) Thus for a very conservative lower bound, the
- information content determined by choice of vantage point (that
- is, by being allowed to rotate the model about three axes) can be
- taken as at least equal to VP = log2(210) = 7.7 bits. Using the
- rest of Saunders' analysis, this would at best yield SS = zero to
- 4.4 bits -- not a very impressive correlation.
- There is another way to understand the large number of bits
- involved in the choice of the vantage point. The stars in
- question are separated by distances of order 10 parsecs. If the
- vantage point is situated above or not too far from the 15 stars,
- it need only be shifted by about 0.17 parsecs to cause a change
- of one degree in the angle subtended by some pair of stars. Now
- one degree is a very modest resolution, corresponding to twice
- the full moon and is easily detected by anyone. For three
- degrees of freedom, the number of vantage points corresponding to
- this resolution is of order (10/0.17) cubed ~ (60) cubed ~ 2 X 10
- to the fifth power, corresponding to VP = 17.6 bits. This factor
- alone is sufficient to make SS negative, and to wipe out any
- validity to the supposed correlation.
- Even if we were to accept Saunders' claim that SS = 6 to 11
- bits (which we obviously do not, particularly in view of the
- proper value for SF), it is not at all clear that this would be
- statistically significant because we are not told how many other
- possible correlations were tried and failed before the Fish map
- was devised. For comparison, there is the well-known correlation
- between the incidence of Andean earthquakes and oppositions of
- the planet Uranus. It is unlikely in the extreme that there is a
- physical causal mechanism operating here -- among other reasons,
- because there is no correlation with oppositions of Jupiter,
- Saturn or Neptune. But to have found such a correlation the
- investigator must have sought a wide variety of correlations of
- seismic events in many parts of the world with oppositions and
- conjunctions of many astronomical objects. If enough
- correlations are sought, statistics requires that eventually one
- will be found, valid to any level of significance that we wish.
- Before we can determine whether a claimed correlation implies a
- causal connection, we must convince ourselves that the number of
- correlations sought has not been so large as to make the claimed
- correlation meaningless.
-
-
- This point can be further illustrated by Saunders' example
- of flipping coins. Suppose we flip a coin once per second for
- several hours. Now let us consider three cases: two heads in a
- row, 10 heads in a row, and 40 heads in a row. We would, of
- course, think there is nothing extraordinary about the first
- case. Only four attempts at flipping two coins are required to
- have a reasonable expectation value of two heads in a row. Ten
- heads in a row, however, will occur only once in every 2 to the
- tenth power = 1,024 trials, and 40 heads in a row will occur only
- once every 2 to the fortieth ~ 10 to the twelfth power trials.
- At a flip rate of one coin per second, a toss of 10 coins
- requires 10 seconds; 1,024 trials of 10 coins each requires just
- under three hours. But 40 heads in a row at the same rate
- requires 4 X 10 to the thirteenth power seconds or a little over
- a million years. A run of 40 consecutive heads in a few hours of
- coin tossing would certainly be strong prima facie evidence of
- the ability to control the fall of the coin. Ten heads in a row
- under the circumstances we have described would provide no
- convincing evidence at all. It is expected by the law of
- probability. The Hill map correlation is at best claimed by
- Saunders to be in the category of 10 heads in a row, but with no
- clear statement as to the number of unsuccessful trials
- previously attempted.
- Michael Peck finds a high degree of correlation between the
- Hill map and the Fish map, and thereby also misses the central
- point of our original criticism: that the stars in the Fish map
- were already preselected in order to maximize that very
- correlation. Peck finds one chance in 10 to the fifteenth power
- that 15 random points will correlate with the Fish map as well as
- the Hill map does. However, had he selected 15 out of a random
- sample of, say, 46 points in space, and had he simultaneously
- selected the optimal vantage point in three dimensions in order
- to maximize the resemblance, he could have achieved an apparent
- correlation comparable to that which he claims between the Hill
- and Fish maps. Indeed, the statistical fallacy involved in "the
- enumeration of favorable circumstances" leads necessarily to
- large, but spurious correlations.
- We again conclude that the Zeta Reticuli argument and the
- entire Hill story do not survive critical scrutiny.
-
- Dr. Steven Soter is a research associate in astronomy and Dr.
- Carl Sagan is director of the Laboratory for Planetary Studies,
- both at Cornell University in Ithaca, N.Y.
- =================================================================
-
- IS THE FISH INTERPRETATION UNIQUE?
-
- By Robert Sheaffer
-
- The story of Marjorie Fish's attempts at identifying the
- star patterns sketched by Betty Hill was told in "The Zeta
- Reticuli Incident" by Terence Dickinson in the December 1974
- issue. This pattern of solar type stars unquestionably bears a
- striking resemblance to the map that Betty Hill says she saw
- while she was being examined aboard a flying saucer. But how
- significant is this resemblance? Is there only one pattern of
- stars which will match the sketch convincingly?
- Betty Hill herself discovered an impressive resemblance in a
- star map published in the New York Times. In 1965 a map of the
- stars of the constellation Pegasus appeared in that newspaper,
- accompanying the announcement by a Russian radio astronomer
- (Comrade Sholomitsky) the radio source CTA-102, depicted in the
- map, may be sending out intelligent radio signals. Intrigued by
- this remarkable claim, Betty Hill studied the map, and added the
- corresponding star names to her sketch. As you can see, the
- Pegasus map -- while not exactly like the sketch -- is
- impressively similar. If CTA-102 -- appearing near the "globes"
- in her sketch -- was in reality an artificial radio source, that
- would give the Pegasus map much additional credibility.
- However, the case for the artificial origin of quasar CTA-
- 102 soon fell flat. Other scientists were unable to observe
- these reported strange variations which had caused Sholomitsky to
- suggest that CTA-102 might be pulsing intelligently.
- In 1966, when Marjorie Fish was just beginning her work,
- Charles W. Atterberg (employed by an aeronautical communications
- firm in Illinois) also set out to attempt to identify this star
- pattern.
- "I began my search by perusing a star atlas I had on hand,"
- Atterberg explained. "I soon realized that this was a pointless
- and futile project." Any star pattern useful for interstellar
- navigation, he reasoned, would not be Earth-centered as are the
- familiar constellation figures. Thus Atterberg began to look in
- three dimensions for a pattern of stars that would approximate
- the Hill sketch.
- Working from a list of the nearest stars, Atterberg "began
- plotting these stars as they would be seen from various
- directions. I did this by drawing the celestial position of a
- star, I would draw a straight line penetrating the sphere at a
- known position, and measure out to the distance of the star...It
- at first took me hours to plot this out from any one particular
- direction."
- When plotting the stars as seen from a position indefinitely
- far away on the celestial equator at 17 hours right ascension,
- Atterberg found a pattern of stars conspicuously similar to the
- Hill sketch. After much work he refined this position to 17
- hours 30 minutes right ascension, -10 degrees declination. The
- resulting map resembles the Hill sketch even more strongly than
- does the Fish map, and it contains a greater number of stars.
- Furthermore, all of the stars depicted in the Atterberg map lie
- within 18.2 light-years of the sun. The Fish map reaches out 53
- light-years, where our knowledge of stellar distances is much
- less certain.
- Carl Sagan states in Intelligent Life in the Universe that,
- excluding multiple star systems, "the three nearest stars of
- potential biological interest are Epsilon Eridani, Epsilon Indi
- and Tau Ceti." These three stars from the heart of the Atterberg
- map, defining the two spheres in the very center of the heavy
- lines that supposedly represent the major "trade routes" of the
- "UFOnauts". Epsilon Eridani and Tau Ceti were the two stars
- listened to by Project Ozma, the pioneering radio search for
- intelligent civilization in space.
- Other heavy lines connect the spheres with the sun, which we
- know has at least one habitable planet. Thinner lines,
- supposedly representing places visited less frequently, connect
- with Groombridge 1618, Groombridge 34, 61 Cygni and Sigma
- Draconis, which are designated as stars "that could have
- habitable planets" in Stephen H. Dole's Rand Corporation study,
- Habitable Planets for Man. Of the 11 stars (not counting the
- sun) that have allegedly been visited by the aliens, seven of
- them appear on Dole's list. Three of the four stars which are
- not included are stopping points on the trip to Sigma Draconis,
- which Dole considered to have even better prospects than Epsilon
- Eridani or Epsilon Indi for harboring a habitable planet.
- Another remarkable aspect of the Atterberg map is the fact
- that its orientation, unlike the Fish map, is not purely
- arbitrary. Gould's belt -- a concentration of the sky's
- brightest stars -- is exactly perpendicular to the plane of the
- Atterberg map. Furthermore, it is vertical in orientation; it
- does not cut obliquely across the map, but runs exactly up and
- down. A third curious coincidence: The southpole of the
- Atterberg map points toward the brightest part of Gould's belt,
- in the constellation Carina. The bright stars comprising Gould's
- belt might well serve as a useful reference frame for
- interstellar travelers, and it is quite plausible that they might
- base a navigational coordinate system upon it.
- No other map interpreting the Hill sketch offers any
- rationale for its choice of perspectives. The problem with
- trying to interpret Betty Hill's sketch is that it simply fits
- too many star patterns. Three such patterns have been documented
- to date. How many more exist undiscovered?
-
- Robert Sheaffer is a computer systems programmer currently
- working at NASA's Goddard Space Flight Center in Greenbelt, MD.
- =================================================================
-
-
- REPLY: By Marjorie Fish
-
- Basically, Robert Sheaffer's contention is that at least
- three patterns can be found that are similar to Betty Hill's map,
- and therefore, more such interpretations are likely. If one
- stipulates that any stars from any vantage point can be used,
- then I agree that many patterns can be found similar to the map.
- However, if one uses restrictions on the type of stars, according
- to their probability of having planets and also on the logic of
- the apparent travel paths, then it is much more difficult. The
- three maps were: (1) Betty Hill's interpretation of the
- constellation Pegasus as being similar to her map, (2) Charles
- Atterberg's work, and (3) my work.
- When I started the search, I made a number of restrictions
- including:
- 1) The sun had to be part of the pattern with a line
- connected to it, since the leader of the aliens indicated this to
- Betty.
- 2) Since they came to our solar system, they should also be
- interested in solar type stars (single main sequence G, probably
- also late single main sequence F and early single main sequence
- K). These stars should not be bypassed if they are in the same
- general volume of space.
- 3) Since there are a number of the above stars relatively
- near the sun and the pattern shows only 12 stars, the pattern
- would have to be relatively close to us (or else they would be
- bypassing sunlike stars, which is illogical).
- 4) The travel pattern itself should be logical. That is,
- they would not zip out 300 light-years, back to 10 light-years,
- then out 1,000, etc. The moves should make a logical
- progression.
- 5) Large young main sequence stars (O, B, A, early F) which
- are unlikely to have planets and/or life would not be likely to
- be visited.
- 6) Stars off the main sequence with the possible exception
- of those just starting off the main sequence would probably be
- avoided as they are unsuitable for life and, due to their
- variability, could be dangerous.
- 7) If they go to one star of a given type, it shows interest
- in that type star -- so they should go to other stars of that
- type if they are in the same volume of space. An exception to
- this might be the closest stars to the base star, which they
- might investigate out of curiosity in the early stages of stellar
- travel. For example, they would not be likely to bypass five red
- dwarfs to stop at the sixth, if all six were approximately equal
- in size, spectra, singleness or multiplicity, etc. Or, if they
- go to one close G double, they would probably go to other close G
- doubles.
- 8) The base star or stars is one or both of the large
- circles with the lines radiating from it.
- 9) One or both of the base stars should be suitable for life
- -- F8 to K5 using the lowest limits given by exobiologists, or
- more likely, K1 given by Dole.
- 10) Because the base stars are represented as such large
- circles, they are either intrinsically bigger or brighter than
- the rest or they are closer to the map's surface (the viewer)
- than the rest -- probably the latter. This was later confirmed
- by Betty Hill.
- Mrs. Hill's interpretation of Pegasus disregards all of
- these criteria.
- Atterberg's work is well done. His positioning of the stars
- is accurate. He complies with criteria 1, 2, 3, 5, 6 and 8;
- fairly well with 4; less well with 9, and breaks down on 7 and
- 10. I will discuss the last three of Atterberg's differences
- with my basic criteria in the following paragraphs:
-
- Relative to point 9, his base stars are Epsilon Indi and
- Epsilon Eridani, both of which are near the lower limit for life
- bearing planets -- according to most exobiologists -- and not
- nearly as suitable as Zeta 1 and 2 Reticuli.
- Concerning point 7, I had ruled out the red dwarfs fairly
- early because there were so many of them and there were only 12
- lined points on the Hill map. If one used red dwarfs in logical
- consecutive order, all the lines were used up before the sun was
- reached. Atterberg used red dwarfs for some of his points to
- make the map resemble Betty Hill's but he bypassed equally good
- similar red dwarfs to reach them. If they were interested in red
- dwarfs, there should have been lines going to Gliese 65 (Luyten
- 76208) which lies near Tau Ceti and about the same distance from
- Epsilon Eridani as Tau Ceti, and Gliese 866 (Luyten 789-6) which
- is closer to Tau Ceti than the sun. Gliese 1 (CD-37 15492) and
- Gliese 887 (CD-36 15693) are relatively close to Epsilon Indi.
- These should have been explored first before red dwarfs farther
- away.
- Red dwarfs Gliese 406 (Wolf 359) and Gliese 411 (BD + 36
- 2147) were by passed to reach Groombridge 1618 and Ross 128 from
- the sun. Barnard's star would be the most logical first stop out
- from the sun, if one were to stop at red dwarfs, as it is the
- closest single M and is known to have planets.
- Since Atterberg's pattern stars include a number of
- relatively close doubles (61 Cygni, Struve 2398, Groombridge 34
- and Kruger 60), there should also be a line to Alpha Centauri --
- but there is not.
- Relating to point 10, Atterberg's base stars are not the
- largest or brightest of his pattern stars. The sun, Tau Ceti,
- and Sigma Draconis are brighter. Nor are they closer to the
- viewer. The sun and 61 Cygni are much closer to the viewer than
- Epsilon Eridani. The whole orientation feels wrong because the
- base stars are away from the viewer and movement is along the
- lines toward the viewer. (Betty Hill told me that she tried to
- show the size and depth of the stars by the relative size of the
- circles she drew. This and the fact that the map was alleged to
- be 3-D did not come out in Interrupted Journey, so Atterberg
- would not have known that.)
- Sheaffer notes that seven of Atterberg's pattern stars
- appear on Dole's list as stars that could have habitable planets.
- These stars are Groombridge 1618 (Gliese 380, BD + 50 1725),
- Groombridge 34 (Gliese 15,BD +43 44), 61 Cygni, Sigma Draconis,
- Tau Ceti, Epsilon Eridani and Epsilon Indi. Of these seven, only
- Epsilon Eridani, Tau Ceti and Sigma Draconis are above Doles'
- absolute magnitude minimum. The others are listed in a table in
- his book Habitable Planets for Man, but with the designation:
- "Probability of habitable planet very small; less than 0.001."
- Epsilon Eridani was discussed earlier. Sigma Draconis appears
- good but is listed as a probable variable in Dorrit Hoffleit's
- Catalogue of Bright Stars. Variability great enough to be
- noticed from Earth at Sigma Draconis' distance would cause
- problems for life on its planets. This leaves Tau Ceti which is
- one of my pattern stars also.
- Another point Sheaffer made was that orientation of my map
- was arbitrary compared to Atterberg's map's orientation with
- Gould's belt. One of my first questions to Betty Hill was, "Did
- any bright band or concentration of stars show?" This would
- establish the galactic plane and the map's orientation, as well
- as indicate it was not just a local map. But there was none
- indicating that if the map was valid it was probably just a local
- one.
- The plane of the face of my model map is not random, as
- Sheaffer indicated. It has intrinsic value for the viewer since
- many of the pattern stars form a plane at this viewing angle.
- The value to the viewer is that these stars have their widest
- viewing separation at that angle, and their relative distances
- are much more easily comprehended.
- My final interpretation of the map was the only one I could
- find where all the restrictions outlined above were met. The
- fact that only stars most suitable for Earthlike planets remained
- and filled the pattern seems significant.
-
- Marjorie Fish is a research assistant at Oak Ridge National
- Laboratory in Tennessee.
- =================================================================
-
-
- ZETA RETICULI -- A RARE SYSTEM
-
- By Jeffrey L. Kretsch
-
- Zeta Reticuli is a unique system in the solar neighborhood
- -- a wide physically associated pair of stars almost exactly like
- the sun. After searching through a list of stars selected from
- the Gliese catalog on the basis of life criteria, only one other
- pair within a separation of even 0.3 light-years could be found.
- (This pair -- Gliese 201 and Gliese 202, a K5e and F8Ve pair
- separated by 0.15 light-years -- is currently being
- investigated.) Zeta Reticuli is indeed a rare case.
- Based on the Fish interpretation of the Hill map, the Zeta
- Reticuli pair forms the base of the pattern. If the other stars
- in the patter fit, it is a remarkable association with a rare
- star system.
- In order to deal with this problem, I decided to computer
- the three-dimensional positions of the stars and construct a
- three-dimensional model showing these stars positions.
- Speaking quantitatively, I discovered the two patterns are
- certainly not an exact match. However, if one considers the
- question of match from the standpoint of how the Hill pattern was
- made as opposed to the derived pattern's means of reproduction,
- the quantitative data may not be a complete means of determining
- whether the two patterns "match" or not. For example, the Hill
- pattern was drawn freehand -- so one would have to determine how
- much allowance one must give for differences in quantitative
- data. In such areas, I am not qualified to give an opinion.
- However, because the map was drawn freehand from memory, the fact
- that the resemblance between the Fish map and the Hill map is a
- striking one should be considered.
- In my work I was able to verify the findings of Marjorie
- Fish in terms of the astronomy used.
-
- Jeffrey L. Kretsch is an astronomy student at Northwestern
- University.
- =================================================================
-
- ZETARETI.UFO
-
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