THE GEMINI 11 UFO SIGHTING
                   AND PHOTOGRAPHIC ANALYSIS

                            by

                      Bruce S. Maccabee       c  August, 2000 
                        
                         INTRODUCTION

This presentation is a combination of two papers with extensive 
documentation and analysis in the appendices.

  The first paper ("On the Probable Misidentification of an 
Object Sighted by the Gemini 11 Astronauts") was written 
in 1975.  It shows that images of the object that appears in
the photographs taken September 13, 1966 from the Gemini 11
spacecraft and the verbal testimony of the astronauts are not consistent
with the claim by NORAD that the object was the Russian Proton 3 
satellite (and its booster rocket) at a distance of 450 km.  

The first paper was presented at the May, 1975, meeting of 
the American Physical Society (the published abstract follows this 
introduction). (Historical note:  this is the first of several UFO-related 
papers I have presented before that august body, the APS.)  
A shortened version was published by the National
Investigations Committee on Unidentified Flying Objects (NICAP) in its
magazine, THE UFO INVESTIGATOR during the summer of 1975.

Subsequent to the publication a controversy arose over the distance between 
the two satellites at the time of the photos. The estimate of 450 km was 
given by the North American Air Defense Command (NORAD) a day after the 
sighting. The controversy arose when it became apparent from photographic 
analysis that if the photos did show the Proton 3 and/or its booster, then 
it actually must have been within 2 km of the Gemini 11.  The question
arose, could NORAD have been that much in error?

The second paper, "An Update on the Gemini 11 Sighting of an Object from 
Orbit," was published, in shortened form, in the NICAP INVESTIGATOR in 
August, 1977.  This paper presented the result of detailed orbital
calculations, carried out independently by Brad Sparks and me, which showed 
that the Proton 3 was far behind the Gemini 11 spacecraft.  The paper was 
supported by extensive calculations that have not published to date and are 
presented here in Appendix 1.  The testimony of the astronauts is in 
Appendix 2.  

The results of attempt to learn something about the orbit of the UFO, if it 
were an orbiting satellite (Unidentified Orbiting Object, a "UOO"), are 
presented for the first time Appendix 3.  The original 1977 paper has 
been modified and improved for presentation here. The conclusion is that, if 
the UOO was a man-made satellite, it was quite close (less than 40 km away) 
when the Gemini passed over the USA about 20 minutes before the sighting.  
This raises the question, why didn't NORAD identify it?

On the other hand, if it UFO was not a UOO then it wasn't bound by the rules 
of orbital mechanics and it could have been near the Gemini craft at the 
time of the encounter and "anywhere" before and after.

   
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FIRST PAPER:
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                               ABSTRACT 
          PUBLISHED IN THE BULLETIN OF THE AMERICAN PHYSICAL SOCIETY,
                       VOLUME 20, PAGE 728 (1975)

                    On the Probable Misidentification 
              of an Object Sighted by the Gemini 11 Astronauts 


                             Bruce S. Maccabee 
                        Naval Surface Weapons Center 
                        Silver Spring, Md. 20910 



Franklin Roach (1) accepted the explanation offered by NORAD that Astronaut 
Pete Conrad had sighted and photographed the Proton 3 satellite plus 
"possibly its booster and several other components." The Proton 3 was 
tracked by NORAD as being roughly 450 km away from the Gemini capsule at the 
time of the sighting. From an analysis of the original photographs it was 
concluded that the image size on the film plane (about 0.5 mm in greatest 
extension) was much larger than the image expected of the Proton 3 
(satellite: 3 m long by 4 m dia.; booster: 10 m long by 4 m dia.; expected 
largest image dimension using the Hasselblad camera with a 38 mm focal 
length: 0.001 mm). The images on the photographs are too detailed to be 
specular reflections from very distant objects.

(1)"The Scientific Study of Unidentified Flying Objects," AFOSR study, E. U. 
Condon, Director (Bantam Books, New York, 1969); page 198. 

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COMPLETE TEXT AND ILLUSTRATIONS PRESENTED AT THE AMERICAN PHYSICAL 
SOCIETY MEETING  :



               On the Probable Misidentification of an Object 
                Sighted by the Gemini 11 Astronauts 

                           INTRODUCTION

On September 13, 1966 during their sixteenth revolution, the Gemini 11 
astronauts, Charles "Pete" Conrad and Richard Gordon, Jr., sighted an object 
which they could not identify. It travelled close enough for them to have an 
impression of size (more than just a point). Their initial report, as copied 
from the flight transcript given in the Condon Report (l), is shown in the 
upper half of Figure 1. The next day, NORAD claimed that the object was the 
Proton 3 satellite and/or its booster at a distance of 450 km from the 
astronauts. The NORAD report is given in the lower half of Figure 1. The key 
phrase to be noticed is the statement that "it is unlikely that any 
photographs would show more than a point of light." 

_______________________________________________________________

                        F I G U R E   1

FROM THE TRANSCRIPT OF GEMINI-11, TAPE 133., PAGE 1 (SEPTEMBER 13, 1966):

"WE HAD A WINGMAN FLYING WING ON US GOING INTO SUNSET HERE OFF TO MY LEFT. A 
LARGE OBJECT THAT WAS TUMBLING AT ABOUT 1 REV. PER SECOND, AND WE FLEW . . . 
WE HAD HIM IN SIGHT, I SAY FAIRLY CLOSE TO US. I DON'T KNOW. IT COULD DEPEND 
ON HOW BIG HE IS AND I GUESS HE COULD HAVE BEEN ANYTHING FROM OUR ELSS* TO 
SOMETHING ELSE. WE TOOK PICTURES OF IT."

*ELSS - EXTRAVEHICULAR LIFE SUPPORT SYSTEM 


NORAD IDENTIFICATION OF THE SIGHTING FROM TRANSCRIPT, TAPE 209, PAGE 2 
(SEPTEMBER 14, 1966):

"WE HAVE A REPORT ON THE OBJECT SIGHTED BY PETE CONRAD OVER TANANARIVE 
YESTERDAY ON THE 18TH REVOLUTION.** IT HAS BEEN IDENTIFIED BY NORAD AS THE 
PROTON 3 SATELLITE. SINCE PROTON 3 WAS MORE THAN 450 KM FROM GEMINI 11 IT IS 
UNLIKELY THAT ANY PHOTOGRAPHS WOULD SHOW MORE THAN A POINT OF LIGHT."


**THE OFFICIAL 70 mm PHOTOGRAPHY IDENTIFICATION SHEET LISTS THIS AS 
OCCURRING ON THE 16TH REVOLUTION. 

____________________________________________________________________

Despite this prediction by NORAD, Dr. Franklin Roach, who analyzed the 
astronaut sightings for the Condon Report on unidentified flying objects (l) 
accepted the NORAD explanation. He analyzed the photographs and made use of 
the simple geometric relation between the object and photographic image 
distances to calculate separations of the objects shown in the photos. He
estimated that the four separate objects had an extreme separation of about 
3.5 km and a minimum separation of about 1 km, assuming that they were at a 
distance of 450 km. He concluded, "it is obvious that the photographs are 
recording multiple pieces of Proton 3 including possibly its booster plus 
two other components." He arrived at this conclusion despite the NORAD 
report on the Proton 3 which lists only two pieces, one of which may have 
reentered the earth's atmosphere as many as twenty-three days before the 
pictures were taken. The data on Proton 3, taken from the Condon Report, are 
given in Figure 2. 


__________________________________________________________________

                           FIGURE 2

                         PROTON 3 DATA

                                  Satellite         Booster
Launch date:                              July 6, 1966

Lifetime                           72.2 Days          46.33 Days

Predicted Reentry Date             Sept. 16, 1966     Aug. 21, 1966

Shape                              Cylinder           Cylinder

Weight                             12,200 Kg          4000 Kg (?)

Size                               3 m long (?)       10 m long (?)

                                       by                  by                                   

                                  4 m  diameter(?)    4 m diameter (?)
_______________________________________________________________________


                      THE GEMINI 11 PHOTOGRAPHS

Prints made by NASA at my request (by Bara Photo in Washington, DC) are 
shown in Figures 3A, 3B.  Tracings of 100X magnifications are 
illustrated in 3C. 
_______________________________________________________________________


_______________________________________________________________________

 
_______________________________________________________________________



_______________________________________________________________________
(Note: magnified versions of the UFO images are reproduced in the Condon 
Report, Plates 17 and 18.  However, the images in the Condon Report
are left-right reversed!)

(Note: To save "bandwidth" in this internet presentation these photos have
been cropped at the left and top, thus eliminating areas of the photos that 
show only black space.)

The unidentified object is indicated in each photo.  Other bright spots are 
photo flaws or dust on the prints that were scanned.  Figure 3B also has 
some reflection or "flare" images in the lower right corner (could be 
reflections in the camera lens or in the spacecraft window.)  At the right 
side of each photo is the highly overexposed image of the antenna on the 
front of the spacecraft.  The antenna is a curly wire which barely appears 
at the bottom of each overexposed image.  The overexposure resulted from the 
direct solar illumination of the antenna (sun behind the astronauts).

(Note: Brightness contours around the overexposed antenna image that are
evident upon blowing up the images result from the digitization process 
necessary for this internet presentation.  The overall color of the prints 
is a deep, dark bluish with the antenna overexposure area is white.)

The photos of the unidentified object(s) show considerably more detail than 
just points of light. The amount of overexposure in the uniform white 
regions is comparable with that made by reflective objects which are close 
to the camera and are fully illuminated by the sun. 

The astronauts took three photos in the direction of the object(s). In the 
first photo, I was not able to locate an image comparable to the images in 
the second and third photos anywhere in the transparency. The second photo 
(Figure 3A) shows four distinct white overexposed regions, herein called 
"ORs", of various sizes with a red-orange "corona" surrounding them (due to 
"halation" which is light scattered sideways within the film). A similar 
corona also surrounds the completely overexposed white region around the L-
Band antenna, which appears at the right hand edge of all three photos and 
was only several meters from the camera. Thus, the ORs resulted from extreme 
overexposure of the film and the corona around the ORs from slightly less 
exposure. However, the overexposure corona from objects follows the general 
shape of the overexposure region produced by the object, whereas the corona 
around the ORs in photos 2 and 3 (Figure 3C) does not always follow 
the shape of the ORs. In some places the corona seems to exist "on its 
own" (upward corona protrusion at top of the UFO image in Figure 3A; 
downward protrusion near bottom of the UFO image in Figure 3B). Thus, it 
seems that at least some of the corona shape must be attributed to the shape 
of the object(s) which made the image. The third photo shows three main 
ORs more or less joined together and a long upward protrusion which 
includes a slightly less exposed whitish central region. These ORs are in 
a different arrangement suggesting either relative motion of separate 
objects or some sort of rotation of a single large object during the time 
interval of a minute or less between the pictures. 

                 EXPECTED VS. ACTUAL IMAGE SIZES

The images recorded in photos 2 and 3 can be compared with expected images 
of the known pieces of the Proton 3 by simple geometrical relationships 
knowing the focal length of the camera, the distance to the Proton 3, and 
the geometrical sizes of the known parts of the Proton 3. The pertinent 
camera data are given in Figure 4 along with other data. 

___________________________________________________________________

                                FIGURE 4

           PHOTOGRAPHY IDENTIFICATION AND CAMERA SPECIFICATIONS

Camera:   Hasselblad, Super Wide Angle, 70 mm film
          LENS:   Zeiss Biogon, 38 mm focal length; f/4.5
          FILM:  Kodak Ektachrome, MS (S. O. 368); 70 mm wide;
                 55 mm by 55 mm format
          SHUTTER SPEED:  1/250 sec

PHOTO #    NASA/MSC       REVOLUTION #   G.E.T.*   DATE   INITIAL 
           DESIGNATION                    TIME    (MSC)  IDENTIICATION**

1          S66-54659            16       27:47   9/13/66  L band antenna
                                                           overexposed

2          S66-54660             "         "         "         "


3          S66-54661             "         "         "         "


*  G.E.T. =  Ground Elapsed Time in hours and minutes (27 h, 47 m)

** Initial identifications were made by Richard Underwood, NASA/MSC.
The initial identification shown in the above table was made several
weeks before Mr. Underwood was told that astronaut Conrad was
photographing another object moving with respect to the space capsule.
The object is presently listed by NASA as unidentified.

__________________________________________________________________________


The focal length of the camera was 38 mm which corresponds to a film plane 
image size calibration of 1/38 rad/mm = 0.0263 rad/mm. The expected ANGULAR 
size of the Proton 3 booster if at 450 km is 10 m/450 km long by 4 m/450 km 
wide, or 2.22E-5 rad. x 8.9E-6 rad (see Figure 5;  rad = radian, a measure 
of angle, 1 rad = 57.3 degrees; E means exponential notation, ten raised to 
a power, such that E0 = 1, E1 = 10, E2 = 10^2 = 100, E3 = 10^3 = 1000, E-1 = 
1/10 = 0.1, E-2 = 1/100 = 0.01, E-3 = 0.001, for example). 
_________________________________________________________________________

_________________________________________________________________________
Thus, the expected image size of the largest piece of the Proton 3 booster, 
based on the simple geometric imaging of the camera, [(image size/focal 
length) = (object size/distance)] is 8E-4 mm x 3E-4 mm. These dimensions are 
considerably smaller than those of the smallest overexposed OR (photo 2; 
Figure 3a) which is roughly 4E-2 mm in diameter. 

Clearly if the sizes of the ORs on the film plane are in the expected 
geometric proportions to the size(s) of the object(s) which caused the 
ORs, the object(s) were not associated with the Proton 3. Diffraction and, 
in particular, extreme brightness can make the area covered by image 
exposure larger than the expected geometrical image size.  With the f# of 
the camera (Hasselblad) given as 4.5 (minimum), the diffraction disk of a 
point source is expected to be on the order of 5.5E-3 mm in diameter (see 
Figure 5) which is about one seventh of the size of the smallest OR 
in photo 2. Unfortunately, the exact f# is not known for certain since the 
astronauts operated with a fixed shutter speed (1/250 sec.) (ref. 2) and 
varied the film exposures by changing the camera aperture opening (the f#). 
However, they probably had the camera "wide open" or nearly wide open 
because the nearby L-Band antenna was greatly overexposed, and even the ORs
in the object(s) were overexposed. 

The expected brightness of the largest part of the Proton booster can be 
estimated using a formula given by Roach in the Condon Report: m = apparent 
magnitude = -7.16 - 5.0 log (d) + 5.0 log (r), where logs are to base 10, d 
is the diameter in meters and r is the range or distance in km. As an 
object, illuminated by the sun, moves away its brightness decreases but its 
apparent magnitude increases. The maximum possible broadside area of the 
Proton booster is comparable to that of a 7 m diameter circle. The magnitude 
equation then yields m as about 1.9. This magnitude is considerably greater 
than the value 0.3 which was estimated to be the largest magnitude for which 
the Agena vehicle (at a distance of 122 km) was visible to the astronauts 
iduring the Gemini 11 flight. Thus, this brightness calculation suggests 
that the Proton would be just at the limit of visibility, if at all visible, 
to the astronauts. Such a large magnitude (i.e., such a low intensity) would 
not overexpose the film in the camera, even with the lens "wide open" 
(smallest f#). 

                     DYNAMICS OF THE IMAGE SYSTEM

The white ORs changed their relative positions between photos. If the 
ORs were caused by pieces of the Proton satellite and booster at the 
distance of 450 km, then the relative positions changed by distances of the 
order of hundreds of meters. For example, the approximate centers of the 
large upper OR and medium sized lower OR of photo 2 may have (if the 
same OR are correctly identified) moved 0.05 mm closer to one another on 
the film plane, corresponding to a distance of about 600 meters at the 450 
km distance. If such a motion is attributed to rotation of one massive body 
about another, or specifically, of the Proton satellite about its booster, 
it would correspond to a considerable angular momentum and a considerable 
centrifugal force. The centrifugal force would exceed by many orders of 
magnitude any gravitational attraction over the hundreds of meters of 
separation between the two objects. Thus, even if the satellite and its 
booster were momentarily rotating about one another immediately after 
separation (after the launch into orbit), two months before the sighting, 
they would have ceased to do so by the time the Gemini 11 astronauts were in 
orbit. There seems to be no relative motion between the Proton satellite and 
its booster that would be consistent both with the usual dynamics of objects 
in the same or nearly the same orbit (slow relative motion with one object 
slowly lagging behind the other) and the apparently rather high relative 
velocity necessary for objects 450 km away to change their relative 
positions in the manner recorded on the photos in a time of less than a 
minute.

                              DISCUSSION

I have shown that the photographs taken by the astronauts are not consistent 
with what would be expected of photographs of the Proton booster and 
satellite at the distance given by NORAD. The inconsistencies are: (a) the 
image sizes and spacings are much bigger than expected; (b) the image 
brightnesses are much greater than expected; and (c) the relative motions 
are much greater than would be expected for relative motions between the 
satellite and its booster during the minute or less between pictures. There 
is yet another probable, though not definite, inconsistency in the number of 
objects photographed: (d) four objects (or four bright areas of a single 
object, etc.) are shown, whereas only two objects were known to be 
associated with the Proton 3, and one of them had probably fallen back to 
earth by the time of the sighting. 

Another inconsistency was reported by Lloyd Mallan (3) who published a story 
about the Gemini 11 sighting in Science and Mechanics Magazine, June 1969. 
Mallan reported that the astronauts were facing (southeast forward going 
into sunset) away from the direction of the Proton 3, which was about 400 km 
behind them.  This is illustrated in Figure 6.
___________________________________________________________________________


___________________________________________________________________________
(There is a 50 km discrepancy between the distance listed by Mallan and the 
distance in the Condon Report.) Since the spacecraft windows only allowed a 
narrow forward view (they can only see about 1200 square degrees or 6 per 
cent of the forward hemisphere) it would have been "impossible" for them to 
have seen the Proton 3. Moreover, according to Mallan, Astronaut Gordon 
stated that the object was first seen out their left window, it "flew out in 
front of us and then we lost it when it sort of dropped down in front of 
us." This direction of motion is roughly opposite to that of the Proton 3 
according to the NORAD report quoted in Mallan's article (see Figure 6). 

Thus we have inconsistency (e), the Proton was behind the Gemini spacecraft 
and (f), the object(s) were not even travelling in the direction of the 
Proton satellite and booster. 

According to Mallan, NORAD claimed that they were not tracking anything in 
front of the space capsule. Thus, for all of these reasons the object(s) 
could not have been the Proton. A more reasonable identification would be 
that it was some nearby trash. However, it could not have been trash from 
the Gemini 11 since it was apparently in a different orbital plane (assuming 
it was in orbit). The likelihood of a close encounter with trash in another 
orbit is statistically miniscule, but, of course, it is not impossible. 

According to Mallan, Astronaut Gordon had the impression that the object was
metallic (reflected light the way-most metals in orbit do) and was about 
50 miles away. Of course, without knowing the size of the object(s), the 
distance is only a guess. At 50 miles (80 km.) the separation between the 
two most distant ORs in photo 2 would have been about 500 meters and the 
largest sized OR would correspond to a diameter of about 200 meters. 
Objects of such size would clearly not be earth-launched satellites. Of 
course, if the distance had been actually much smaller, the object(s) could 
become commensurate with earth-launched satellites. For example, a distance 
of five miles would correspond to object sizes on the order of tens of 
meters. 

If it were possible to accurately determine the duration of the sighting, 
the angle of view corresponding to that duration, and the distance moved by 
the Gemini 11 spacecraft during the sighting it might be possible to 
determine whether or not the motion of the object(s) was consistent with the 
expected motion of a satellite in orbit around the earth. Unfortunately, 
such information is probably not available. 

                              CONCLUSION

The photographic evidence presented in this paper appear to be totally 
inconsistent with the hypothesis that the Gemini 11 astronauts photographed 
the Proton 3 and/or its booster rocket. Verbal evidence presented by Mallan 
supports this conclusion. This writer has found no evidence to support the 
conclusion stated by Roach in the Condon Report. Note: This sighting is 
carried as "unidentified" by NASA. 

 
                              BIBLIOGRAPHY 


1. _The Scientific Study of Unidentified Flying Objects_, AFOSR #F44620-67-
C-0035, E. U. Condon, Director (Bantam Books, New York, 1969); Pg. 198. 

2.  Richard Underwood, private communication. 

3.  Lloyd Mallan, Science and Mechanics, June 1969. 

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SECOND PAPER
A shortened version was published in the NICAP INVESTIGATOR in August
1977


                An Update on the Gemini 11 Sighting
                     of an Object from Orbit 

                            by 
             Dr. Bruce Maccabee, NICAP Consultant, July 1977 


In the August 1975 issue of the investigator I published a paper in which I 
argued that the photographs taken by astronauts Gordon and Conrad on Sept. 
13, 1966 during their eighteenth revolution (this was incorrectly   called 
the sixteenth in the 1975 article) could not have been photographs of a 
Russian satellite called Proton 3. The reasons given were a) the two 
satellites were too far apart, b) the astronauts were facing away from the 
direction to the P-3, and c) the astronauts reported that what they saw 
would have been traveling in a roughly northwest to southeast direction 
(nearly parallel to their own orbit), whereas the P-3 was traveling,in a 
roughly southwest toward northeast direction. 

Reason (a) was based on the claim by NORAD, which was later reiterated by 
Dr. Roach in the Condon Report (1), that the P-3 and GT-11 (abbreviation for 
Gemini 11) satellites were about 450 km or 280 miles apart when the photos 
were taken. At such a great distance, the various parts of the P-3 and its 
booster could not have produced the spacings of the overexposed regions in 
the photos (see, for example, the Condon Report or the August 1975 
investigator).  Reasons (b) and (c) came from an article by Lloyd Mallan in 
Science and Mechanics (2). However, if the distance estimate was incorrect 
and the P-3 was a lot closer, then one probably could not reject the 
Proton satellite as a possible explanation.

Since the publication of my paper a controversy has arisen over the 
separation of the two satellites. Jim Oberg published several articles in 
different UFO and space-related magazines (OFFICIAL UFO Magazine, Oct. 1976 
issue but published in August, "Astronauts and UFOs, The Whole Story", GT-11 
discussed on pg 41; ANALOG Science Fiction/Science Fact, November, 1976, 
"Unidentified Fraudulent Objects," GT-11 discussed on page 106; SPACE WORLD, 
February, 1977, "Astronauts and UFOs, the Whole Story," GT-11 discussed on 
page 13).  In these articles he claimed that even a cursory analysis of the 
orbital data of the P-3 is sufficient to show that it was running ahead of 
schedule and thus might have passed in front of instead of behind , the GT-
11.  In ANALOG, Oberg wrote: 

	"NORAD predictions ...put the Soviet satellite a few hundred miles 
	behind the Gemini over the Indian Ocean on September 12, 1966.  The 
	crew, however, reported an object quite close in.  Their photographs 
	show resolvable detail and a large angular size.  Therefore, say UFO 
	investigators, the object was 'too big to have been at the range of 
	Proton-3, or much closer than Proton-3.' 

	The whole line of reasoning collapses when the actual range is 
	computed.  Since the Proton was in the final stages of orbital decay 
	(it burned up 36 hours later), it was running far ahead of its 
	predicted schedule.  Once I had obtained several consecutive orbital 
	predictions over the final few days, I was able to determine just
	how far off the initial NORAD estimates had been, several hundred 
	miles per day.  The contradiction between range and size vanished."


(Note: the basic idea of Oberg's analysis is that as a satellite loses 
energy because of air friction it decreases in altitude and actually 
increases in orbital speed.  Hence he argued that the P-3 was traveling 
FASTER than the NORAD computer predictions indicated and that therefore it 
could have "caught up with the GT-11.)

My own analysis of data which has recently (1976) become available, thanks 
to the efforts of Jim Oberg, Brad Sparks, and myself, shows that rather than 
traveling ahead of schedule, at the time of the photos the P-3 was actually 
behind schedule. (From studying orbital data which Jim sent me I discovered 
that he had made a simple math error, a minus sign instead of a plus sign 
(!), which led him to the conclusion that the Proton was traveling "ahead of 
schedule"; I informed him of this error in June, 1976 and he acknowledged it 
in August.)  Subsequent analysis showed that the two spacecraft were not 
separated by 450 km, but rather by more than ten times that distance and 
that the orientation of the spacecraft was as remembered by the astronauts: 
facing forward (southeastward) in orbit, heads up. This latter information 
was taken directly from a NASA tracking record (computer printout). The 
information related to the spacing was obtained from analysis of several 
NORAD bulletins which list orbital elements and predicted positions of the 
P-3. 

The information related to the distance was obtained from the NORAD 
bulletins, from the NASA printout, from a TRW reconstruction of the GT-11 
trajectory, and from a photo analysis paper by Richard Underwood who gave 
the time of the photos (27 hours, 43 minutes Ground Elapsed Time, which 
corresponded to 18 hours, 25 minutes Greenwich Mean Time). All of the 
available information was used in a set of calculations to determine the 
'exact' locations of the two satellites (see FIGURE 7).


________________________________________________________________________


_________________________________________________________________________

Since the photo time may be off by several minutes the positions of the 
satellites at the time of the photos may be off by several minutes times 
their orbital velocities (about 290 miles/minute). However, since the GT-11 
was moving away from the orbit of the P-3 (see FIGURE 7), the satellites 
were never closer than a thousand miles during the time frame allowed for 
the pictures (roughly 18:25 GMT to 18:30 GMT). For those who wish to locate 
the exact (to within one or two degrees) positions an a globe or a flat map 
(be careful of flat maps - they lie (!) - because the distance scale changes 
with position on the map), the calculated coordinates are (at 18:25 GMT on 
Sept. 13, 1966): Proton 3 - 52 degrees south latitude by 59 degrees west 
longitude; Gemini 11 - 25 degrees south latitude by 8 degrees west 
longitude (south latitude measured south of the equator; west longitude 
measured west of the Greenwich meridian). Thus it appears that the Gemini 11 
astronauts either saw a satellite so secret that NORAD didn't know about it 
or didn't want anyone else to know about it, or else they saw a .....
(something else!). 

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The following material is published here for the first time with some 
modifications for clarity of presentation (August, 2000)


                             APPENDIX 1

             DETERMINATION OF THE POSITIONS OF GEMINI 11 
             AND OF PROTON 3 AT THE TIME OF THE PHOTOS

                   B.S. Maccabee;June, 1977 


The analysis proceeds as follows:
A) From GT-11 data determine the estimated time of the sighting
B) From orbital data determine the location of the P-3
C) From orbital data determine the location of the GT-11
D) Determine the distance and sighting direction between them
E) Conclusion


A) TIME OF THE SIGHTING

NASA DATA FOR GEMINI 11

LAUNCH: Sept.12/14:42:26.5Z (date/hours:minutes:sec in "zulu" or "universal"  
time or Greenwich Mean Time - GMT)

PHOTO TIME:- Definitely between loss of signal at Ascension Island (27:41:24 
Ground Elapsed Time, GET) at 13/18:23:50.5Z and acquisition at Tananarive 
(27:52:21 GET) at 13/18:34:47.5Z (from transcript MAC#C-115958)(data 
supplied by J. Oberg)

In his initial photographic identification chart, dated Sept. 19, 1966, and 
included as final identification information with the photos that Bara Photo 
has in storage, NASA photo analyst Richard Underwood initially placed the 
photo time at 25:47 GET, which is two hours too early. Subsequently, Cdr. 
Conrad at a photographic debriefing on Sept. 21, 1966, claimed the photos of 
the "stranger" were taken at 27:43 GET. Underwood then wrote a memo in which 
he included the statement that the pictures were taken on Revolution #18, 
"over South Atlantic, 1000 miles or so west of South Africa's mouth of the 
Orange River". Underwood mentioned that Conrad viewed the images at 100 X 
magnification and confirmed the identification as the "stranger". Underwood 
indicated in the memo that if the object were 280 miles (450 km) away, as 
stated by NORAD for the distance to the P-3, the "stranger" was "about 18 
miles (95,150 ft) long." (Data supplied by Brad Sparks)

According to the astronauts' statement in the Condon report and in 
transcripts of the flight debriefing the object was seen "going into 
sunset." A calculation of sunset for the GT-11 capsule by Sparks yields 
13/18:30 Z.

Robert Emenegger's book, UFOs, PAST PRESENT AND FUTURE (Ballantine Books, 
1974) gives the time as 27:47 GET, but this may be in error by 4 minutes. 

In an interview with Dr.James Harder in 1976 Conrad pointed put that they 
viewed the "stranger" and talked about it, decided to photograph it, got the 
camera, took a picture, wound the camera, took a second picture, etc. (3 
photos total), so it must have been at least several tens of seconds between 
when they first saw it and when they actually finished taking pictures. 
Conrad thought it had been visible for maybe 30 seconds or more. He also 
recalled that they weren't in contact with earth at the time. This places 
the photos probably more than 30 seconds after loss of signal Ascension 
Island.  (Information supplied by B. Sparks.)

The available data, summarized above, place the photo time in the range 
13/18:24 Z to 13/18:30 Z, with 13/18:25 Z as the specific time referred to 
by Underwood (27:43 GET). Since GT-11 was moving eastward away from the P-3 
orbit I will use 13/18:25 Z to obtain the MINIMUM SEPARATION between GT-11 
and P-3 that is consistent with the photo time data above, while fully 
realizing that it probably was several minutes later (and, hence, farther
from the P-3), considering that the spacecraft went into darkness at about 
18:30 Z, shortly after the sighting.)

B) LOCATION OF THE PROTON 3

DATA FOR THE PROTON 3
The position of Proton 3 was calculated from orbital parameters obtained 
from Goddard Space Flight Center (GSFC) microfilm data obtained by J. Oberg 
and B. Maccabee (Bulletins 28-33).  Of particular interest are the data on 
Bulletin 32 for which the epoch was Sept. 13/11:17.52Z, and Bulletin 33 for 
which the epoch was Sept. 14/09:25.1Z. The pertinent data are given below.
(In what follows, h = hours, r = revolution, Arg = argument, Incl = 
inclination, Eccent = eccentricity of elliptical orbit, RA = right 
ascension, NBEC = north bound equator crossing, d = degrees):

 Bull. Mean Motion Semi-Major   Arg.  Incl.  Eccent. Rate of   Orbit 
   #   in r/day,   Axis in      of            (e)    Change    (each starts
       h/r        Earth Radii   Perigee                 RA       at NBEC)
                                (d)    (d)             (d/day)

 32   16.253,    1.03226     56.56    63.405   0.0078   -3.99      1090
      1.4766 

 33   16.290     1.03070     57.464   63.453   0.0075   -4.005     1105 

From these data I calculated the number of orbits from 13/11:17.5Z to 
13/l8:25Z using 1.476 h/r and found 4.827 (4 complete orbits and 0.827 of 
the fifth), so the photos were taken during orbit # 1094 of the P-3 
(specifically at orbit 1094.827). This corresponds to being 0.827x3600 = 
297.7 d along orbit 1094, or 62.3 d (measured along the orbit) before the 
next NBEC (the beginning of orbit #1095). A location 62.3 d measured 
southward from the equator along an orbital path of inclination 63.4 d 
corresponds to a particular latitude south of the equator and a certain 
longitude west of the NBEC. 

The longitude of the NBEC of orbit 1095 was estimated from data on Bulletin 
32 which says that the NBEC for orbit 1097 was (if I can read it correctly) 
67.03 d west. The NBEC for 1095 was calculated from 

(a) the motion of Greenwich Meridian (GM): 15 d/h eastward 
(b) the rate of change of the R.A. : 4 d/day toward the west or 0.167 d/hr 
     west. 
(c) the total change in longitude with respect to GM per hour is the sum of 
     (a) and (b): 15.167 d/h
(d) the orbit time: 1.476 h
(e) the total change in longitude from one orbit to the next is the product 
     of ((c) and (d): 22.4 d/orbit

(Note: the tabular data on Bulletins 32 and 33 agree with this change in 
longitude from orbit to orbit to within several tenths of the degree per 
orbit.) 

Since the GM moves eastward the NBEC values increase in a westerly direction 
with respect to the GM as the orbit number increases.  Thus the NBEC for 
1095 would have been

        67.03 d - (#1097 - #1095) x 22.40 = 22.23 d west of the GM 


LOCATION OF THE PROTON #3 

Imagine a triangle with the upper right corner lying on the equator at
a point 22.23 d west of the GM. This is the NBEC.  The plane of the orbit 
passes through this point.  The orbit crosses the equator at an angle 
63.4 d measured COUNTERCLOCKWISE from the equator.  The upper left 
corner of the triangle is at a point on the equator at location 40.4 d 
west of the NBEC or 62.63 d west of the GM.  The left side of the triangle
is a "vertical" line (a longitude line) that extends 49 d southward 
from the equator.  The complete triangle is thus made up of a section 
of the orbit that that is 62.3 d of arc long, a section of the 
equator that is 40.4 d long and a section of a longitude line that is 49 d 
long.  The P-3 was at the lower corner of this triangle.  The actual 
location on the globe is indicated in Figure 7.  These angles were
calculated from the following equations.

latitude = arcsin[sin(incl)x sin(orbital distance)/sin90] = 
           arcsin [sin(63.4)sin(62.3)/l] = 52.3 d south of the equator

Longitude = longitude at NBEC + arctan[cos(incl)tan(orbit distance)] -
            (22.4 d/r )x(fraction of revolution) = 
             22.23 + 40.45 - 3.87 = 58.8 d  west of the GM 

NOTE: this position is just east of the Falkland Islands off Argentina. 

It is also of interest to calculate the altitude of the P-3.  For orbit 1094 
the following values are estimated to be approximately correct: a = the 
semi-major axis of the orbit, about 1.0315, re = the radius of the earth = 
6378 km, e = eccentricity = 0.0077 and E = the argument of the perigee = 
56.8 d. Then the altitude is given by

        Altitude = a re (1-e)[(1-ecos(E+62.2)/(1-e)] {Note:(1-e) cancels}

                 = 1.0315(6378)[(1 - cos(56.8+62.2)] 

                 = 6603 km above the center of earth 

        Altitude above earth's surface =6603 - 6378 = 225 km


RELATED INFORMATION:

The orbital velocity of the of P-3 was calculated as follows (nmi = 
nautical miles, 6077 ft): 

           avg. radius   6579 km (apogee 6629; perigee 6528km) 
           avg. orbital distance (circumference) = 41337 km 
           avg. orbital period = 1.476 hr =88.56 min. 
           avg. orbital velocity = 467 km/min or 290 nmi/min

(The computer printout from GSFC indicates an orbital velocity of 288 
nmi/min which is close enough for government work!) 

Thus from 13/18:25Z to 13/18:30Z, which is the time frame that bounds the 
time the pictures were taken, the satellite would have moved about 1450 mi. 
along its orbit. The GT-11 speed was about the same (see below).  The
relative directions of the orbits are such that the distance between the 
satellites would have remain about constant (as the P-3 moved toward the 
orbital plane of the GT-11, the GT-11 moved away from the orbital plane of 
the P-3).

C)  LOCATION OF THE GT-11


NASA ORBITAL DATA FOR GT-11: from a NASA computer printout giving latitude, 
longitude, altitude, velocity, eccentricity, perigee, apogee, capsule 
orientation (roll, pitch), etc. every 30 seconds (data supplied by Brad 
Sparks) I find, at 18:25 on the 18th orbit, the pertinent data are:
(in the following d stands for degrees, ' stands for minutes, S is south, W 
is west; unless otherwise noted, altitudes are in nmi )

Latitude   Longitude     Alt.    Incl.    Roll      Pitch       Azimuth
 25d 30'S   8d 24'W      164    28.83 d    0 d     -.040 d   (forward in
(geocentric)            (303.7 km)      (heads    (parallel    orbit and
                                         up)     to earth's    travelling
                                                  surface)  east-southeast)

These coordinates correspond to a point roughly 1500 miles from the 
mouth of the Orange River (about 1500 miles due west and 200 miles due 
north), in agreement with Underwood's statement. 

A DIRECT CALCULATION OF THE LOCATION FOLLOWS:

The following calculation is based on information supplied by Jim Oberg. 
This information was taken from a reconstruction of the GT-11 orbit and 
reentry by TRW (Note 66FMT-262; 20 December 1966; library code U67-11,034). 

According to this information the GT-11 orbital parameters were:

        Apogee        Perigee          Period       inclination  
       172.95         152.30          90.54 min.      28.86 d
       (320 km)       (282 km)

Also according to the TRW Note, the NBEC that took place before 
13/18:25Z occurred at 13/17:24:4.17 Z at 127.26 d East longitude. The 
orbital period during this revolution was 90.54 minutes. 

The subsequent South Bound Equator Crossing (SBEC) that took place just 
before the sighting occurred is calculated as follows: 

     127.26 d E + 180 d E - (1/2)23.1  = 295.71 E = 64.29 W

where (1/2)23.1 corrects for the rotation of the earth and of the orbital 
plane during half an orbit ( 23.1 d per orbit was obtained from the TRW note 
by comparing successive orbits). The SBEC occurred at 17:24:4.17 Z + 
(1/2)(90 min,32.4 sec.) = 17:69:20.37 = 18:09:20.37 Z. The difference 
between this and 18:25:00 = 18:24:60 Z is 00:15:39.63 or 15.66 minutes. 
During this time the GT-11 traveled (15.66/90.54)(360) = 62.27 d along its 
orbit in a southeasterly direction along inclination 28.86 d. The GM also 
moved eastward by (15.66/90.54)(23.1) = 3.995 d. Making use of the 
inclination angle given as 28.86 d, the position of the GT-11 at 18:25:00 Z 
was approximately 

Latitude = arcsin (sin 28.86 x sin 62.27) = 25.29 = 25 d 17.4' South 
(Compare with NASA data above:  25 degrees 30 minutes South)

Longitude = 64.29 - arctan(cos 28.86 x tan 62.727) + 3.995 
          = 9.26 = 9 degrees 15.6 minutes West 
(Compare with NASA data above: 8 degrees 24 minutes West) 

In comparing the TRW note with the NASA data I find some differences as 
follows: 

Source         Apogee        Perigee          Period       inclination 

NASA          165.2 nmi        155.8 nm        90.46 min.      28.83 d
TRW           172.95 nmi       152.30 nm       90.54 min.      28.86 d

These differences are sufficiently small as to have a negligible effect on 
the conclusion presented in this paper. Therefore it would be pointless to 
argue over which set of data is the more accurate. 


D) DISTANCE BETWEEN P-3 and GT-11 at 13/18:25 

The calculated positions are: 

P-3  :         52.3 d S    58.8 d W 
GT-11:         25.5 d S     8.4 d W

These positions correspond to a separation of about 3200 statute miles or 
abou 5100 km  during the time frame of the photos as measured on a flat map 
such as Figure 7.  A more accurate calculation that is not subject to the 
distortions of a flat map gives the following result.

The angular distance w.r.t. the center of the earth is 

    arccos[cos(52.3 - 25.5) cos(58.8 - 8.4)]
    = 55.32 d = 0.965 radians

which corresponds to 6400 km in circumferential measure at an average height 
of 250 km. 

The straight line distance between these points is found from the law of 
cosines with two long sides being the distances from the center of the earth 
to the two satellites and the straight line distance being a chord of a 
circle  (R =  distance from center of earth;  ^2 means square, ^0.5 means 
square root; distances in km):

 [(R of P-3)^2 + (R of GT-11)^2 - 2(R of P-3)(R of GT-11)cos(55.3)]^0.5

 = [(6594)^2 + (6680)^2- 2 x 6594 x 6680 x cos(55.3)]^0.5
 = 6150 km or about 3800 miles

Note that the horizon (ignoring refraction) from the GT-11 (alt. 303 km;
6680 km from the center of earth) is at a distance of 

      (6680^2  -  6378^2)^0.5   = 1986 km   

Note also that the horizon is at a depression angle of (distances in 
km) 

      arccos(6378/6680) = 17.3 d.

The straight line of sight from GT-11 to the P-3 is at a depression angle of

     90 - arccos[-(6594^2 - 6680^2 - 6150^2)/(2 x 6680 x 6150)] 

     = 90 - 61.7 = 28.3 d.

Because the depression angle of the line of sight to the P-3 exceeds the 
depression angle of the horizon (see above), the astronauts could not have 
seen the P-3 even if they had been facing in the correct direction since the 
earth blocked the line of sight!!

                                          Bruce Maccabee  June 14, 1977


E)  CONCLUSION

Had the initial NORAD report, whether correctly or incorrectly, placed the 
Proton 3 satellite at a distance within 10 km of the Gemini 11, there 
probably would have been no dispute over the identity of the unknown and 
this paper would never have been written.  However, the glaring 
inconsistency between the NORAD distance, the sighting direction, the
duration and apparent size (image size) made it impossible to ignore the 
inconsistency.

How NORAD arrived at its estimate is unknown at this date.  (NOTE: this was 
true in 1977 and still is in the year 2000 !). Quite possibly it was just a 
best guess estimate since they did not have accurate figures on the Gemini
11 location, and since they only had computer predictions of the track of 
the Proton 3. 

There has been speculation that the unknown was a satellite, the existence 
of which NORAD didn't wish to make known.  It is difficult to imagine that
it could have been a known satellite which, somehow, NORAD overlooked. 

Unfortunately the observational data on the unknown are too inexact to allow 
a determination of whether or not the unknown was in a "legitimate" earth 
orbit or was "something" that just happened to be, um, " passing by" (?).

(BUT SEE APPENDIX 3). 

However, it seems quite certain that, even if the above calculations
are not perfectly accurate, the astronauts did not see the P-3. How do I 
know this?   Consider the following "variations" which assume gross errors
by NASA and NORAD.

Suppose by some chance the P-3 had gotten so far along its orbit 
that it was not 62.3 d before the NBEC, but was only, say,  20 d 
before NBEC. (This would correspond to "horrible" GFSC preditions 
resulting in about a 10 minute error in locating the satellite.)
Then its latitude would have been 17.8 d and its longitude would 
have been
                 22.2 +  9.25 - 1.24 = 30.20 d West.

Its radial distance from the earth's center would have been about 6567 km
(189 km altitude above surface). 

Its earth-central angle from the GT-11 (25.7 d S, 8.4 d W) would have been

          arccos[cos(25.5 - 17.8)cos(30.2 - 8.4) = 23 d

and its straight line distance from the Gt-11 would have been 

          (6567^2 + 6680^2 - 2 x 6567 x 6680 cos23.1)^0.5 

           =   2654 km  =  1650 mi. 

This would have been about the closest approach of the P-3 orbit to the GT-
11 during orbit 1094 of the P-3 and orbit 18 of the GT-11 during the
allowed time frame for the pictures, assuming the position of the GT-11 at 
18:25Z is correct (as determined by TRW and NASA). 

Suppose that the angular predictions were ALL wrong and that the GT-11 was
actually close enough in angular position to the P-3 for the astronauts to
have seen it.   There still would be the altitude difference.  Assume the 
minimum altitude for the GT-11, 280 km, and the maximum for the P-3, about 
220 km.  There is still at least 60 km spacing if the GT-11 could look 
straight down at the P-3 (which it couldn't).  Recall that the image sizes 
correspond to the size of the P-3 at a distance of several km.  In other 
words, even 60 km would be too great for the P-3 to make images the 
size of those in the photos.

Thus I conclude that unless NORAD and NASA had completely incorrect orbital
parameters (incorrect angular position and incorrect height) for at least 
the P-3 satellite, these calculations reject the P-3 as the "Gemini 11 UFO."

                                            BSM   June 19, 1977

 Acknowledgements: The detailed analysis presented here would not have been 
possible without information obtained by James Oberg and Brad Sparks.  I 
thank Brad Sparks, in particular, for many helpful suggestions and access to 
the results of his very careful analysis.


*****************************************************************

                              APPENDIX 2

                    DESCRIPTIONS BY THE ASTRONAUTS

THE TIME OF THE SIGHTING
From the transcript of the Gemini XI Mission Commentary, 9/13/66, 12:34 p.m.
(Tape 133, pg. 1): 

(27:52)  Houston, TX, Manned Spacecraft Center: "This is Gemini Control, 
27 hours 52 minutes into the flight. Gemini 11 is down over south Africa on 
the night side of its 18th revolution,within range of Tananarive now. We'll 
standby for air ground transmission during this pass." 

(27:52:26) Spacecraft: "Hello Houston, 11 here. How do you read? "

(27:52:29) HOU: "Read you loud and clear. "

(27:52:31) S/C: "Okay. We had a wingman flying wing on us going into sunset 
here, off to my left. A large object that was tumbling at about one 
revolution per second and we flew... we had him in sight, I say fairly close 
to us, I don't know, it could depend on how big he is and I guess he could 
have been anything from our ELSS to something else. We took some pictures of 
it." 

(27:52:59) HOU:   "Roger This is Gemini Control, 28 hours into the flight. 
Gemini 11 has just passed out of the range of the Tananarive station. We 
have no additional information on this object reported by Pete Conrad. He 
was unable to identify it. He said it was tumbling at about one revolution 
per second and that they did get some photographs of it. The next station to 
acquire will be   --------- " 

(Note: the ground elapsed times -GET- quoted in parentheses above are from 
the formerly classified "Gemini XI Voice communications document , MAC 
Control No. C-115958.) 

_________________________
THE NORAD IDENTIFICATION

The NORAD Identification of the object is contained in the transcript of the 
Gemini 11 Mission Commentary, 9/14/66, 2:39 p.in.itape 209, page 1): 

"This is Gemini Control, 54 hours 5 minutes into the flight. Gemini 11 has 
just passed out of range of Tananarive. We have a report on the object 
sighted by Pete Conrad over Tananarive yesterday on the 18th revolution. It 
has been identified by NORAD as the Proton 3 satellite. Since Proton 3 was 
more than 450 kilometers from Gemini 11, it is unlikely that any photographs 
would show more than a point of light. Gemini 11 will be acquired by ----"
__________________________

THE DESCRIPTION OF THE OBJECT ACCORDING TO THE ASTRONAUTS:

a) (from Lloyd Mallan's article) "It looked just like spacecraft look when
they're flying. It was a brilliant source of light. I'd say the color was a 
sort of yellow-orange. It looked just the way the sun reflects off most 
metals up there . It had to be made of something like a metallic material to 
reflect light the way it was doing. It looked just like a bright object. 
There was nothing that we could distinguish as having shape. We thought the 
object was tumbling because it would flash. You know, the reflected light 
from it would be flashing." 
(This description by was given by Gordon in 1968 or 1969.) 

b) (from Astronautics and Aeronautics, January 1967, pg. 68; this is an 
article describing a meeting where Conrad spoke)
"A tremendous account of the Gemini XI flight by its command pilot, 
Astronaut Charles Conrad (was presented). ........ He remarked that he had 
seen the Soviet Union's Proton 3, photographed it, and could give an exact 
technical description of its external structure, including undetached 
propellant tanks ........" 

c). (from Gemini XI Technical Debriefing, formerly classified - Oct. 1966) 
Conrad: "We didn't see our own booster on orbital flight at all. We did spot 
the one satellite, and I thought I saw another one later, but it turned out 
that it was a large particle outside the spacecraft. But the satellite we 
picked up, boy, it was loud and clear. They told me it was 289 miles away. 
it must have been awfully big. I read that it was the Proton 3. 

Gordon: "Oh, is that right?" 

Conrad: "I assume that this is a booster that they left up there with it. I 
had the impression, and I told Dick, that it looked like it was a booster. I 
didn't think it was that far away. It was big, whatever it was. I could tell 
it was long and cylindrical, and I had the impression that it looked like 
the second stage of a Titan. I had the impression that I could see an engine 
bell." 
_________________________________

IDENTIFICATION OF THE PHOTOS

The initial 70 mm photographic identification was made by Richard Underwood.  
He overlooked (didn't notice) the images of the unknown and labelled the 
three photos in question as "L-band antenna, overexposed." (This is the 
curly object that appears highly overexposed at the right side of each 
photo.)  These three were 66-HC-1591, 92 and 93 (NASA headquarters numbers). 
Photo 1590 was listed as totally blank.  After the September 21 conversation 
with Pete Conrad, Underwood looked again and found the "stranger" on two 
exposures, -1592 and -1593. Gordon and Conrad viewed the images at 100x 
magnification and subsequently agreed that the images were of the unknown 
object. Underwood calculated, from the image sizes and known camera focal 
length, that "If the stranger is 280 miles distance (sic), it is about 18 
miles (95,150 ft) long."  

(NOTE:  Accurate measurements of the images have shown that the maximum 
separation between bright images on 66-KC-1592 is 0.25mm, and the maximum 
separation on -1593 is 0.37 mm. Since the focal length of the Hasselblad 
Super Wide maximum Angle lens was 38 mm., the angular separation of the 
bright images in -1592 was about 0.0066 radians (6.6 meters at 1 km or 6.6 
feet at 1000 ft), and in 1593 it was about 0.0097 radians (9.7 meters at 1 
km).

________________________________

DURATION OF THE SIGHTING

Underwood (private communication) estimated 5 to 10 seconds between pictures. 

Conrad said he took four photos (only two of which showed the object).

Since the astronauts had time to talk about the object and prepare the 
camera (set the f-stop), etc.  (from a private communication between J. 
Harder and Conrad; data suppplied by B. Sparks)

Hence the estimated minimum duration of the sighting is 20 seconds and a 
possible maximum duration is about a minute. 
_________________________________________________________________

APPARENT FLIGHT PATH OF THE OBJECT WITH RESPECT TO THE GEMINI 11:

(from Lloyd Mallan's article): "We were going SEF (which means Small 
End Forward), heads up in orbit. And it came from our left and went across 
us and down below us. In other words, it came into view from our left 
window, flew out in front of us and then we lost it when it sort of dropped 
down in front of us." 

(From a letter from Richard Gordon to Jim Oberg): "It appeared at ten 
o'clock and disappeared when it was no longer in sunlight at about eleven 
thirty to twelve o'clock."


_____________________________________________________________________
********************************************************************

                           APPENDIX 3

                     FURTHER ANALYSIS OF THE 
              GT-11/UNIDENTIFIED OBJECT ENCOUNTER
                             by
                       B. Maccabee    June, 1977  and August, 2000

The following analysis is an attempt to determine whether or not the UFO 
could have been a UOO - Unidentified Orbiting Object.  The attempt is made 
by assuming it was in orbit and using the photographic and testimonial data 
to determine as much as possible about the nature of its orbit.  

In order to carry out this analysis certain assumptions are made:

l)the size of the UOO satellite is set at 10 meters a the maximum 
separation of reflecting surfaces expected for man-made satellites of the 
1966 vintage; this assumption is probably not correct even if there 
were a satellite with 10 m between extremeties because we do not see, in the 
photos, the extreme edges, but rather the overexposed areas of the image and 
the centers of the overexposed areas would correspond roughly to the centers 
of the reflecting areas rather than the extreme edges.

2) the angle between the orbital planes can be found sufficiently accurately 
using plane geometry approach (the portion of the orbit of the GT-11 and the 
portion of the orbit of the assumed UOO satellite can be represented as 
straight lines that lie in a plane). 

The second assumption seems reasonable in view of the evidence (the 
astronaut's claim that the UFO passed in front of them and the photographic 
evidence, described below) that suggests a) the GT-11 travelled at most 
several degrees of its orbit during the total encounter and less than 1 
degree during the time between pictures (photos 2 and 3, assumed to be 10 
seconds or less) and b) the UO was apparently at the same altitude or within 
a few kilometers of being at the same altitude since the astronauts appeared 
to be looking horizontally out of their craft when they took the pictures.  
(Actually they may have been looking slightly upward since their line of 
sight toward the object was nearly "level" with the center of the Agena 
antenna).  

With respect to (2) above, consider a crossing point of two circular orbits 
that lie in different planes (different angles of inclination relative to 
the equator) but at the same altitude.  Call this crossing point "zero 
degrees."  Imagine a plane tangent to the two orbits at the crossing point 
(actually tangent to a sphere with the radius of the orbits).  Now move 
along one of the (circular) orbits away from that point by an amount S = R W 
where S is a distance along the orbit (a circular arc), R is the orbit 
radius and W is an angle as measured from the center of the orbit (center of 
the earth).  With respect to the tangent plane at the crossing point, the 
point on the orbit at distance S or angle W lies "below" the tangent plane 
by an amount, H, given approximately (for small S or W) by H = S^2/(2R) = 
RW^2/2, where W is measured in radians.   Assume the GT-11 was 30 seconds 
away from reaching the crossover point. Thirty seconds is 1/2 of a minute or 
(1/2)(1/90.5) = 1/181 of a 90.5 minute orbit (90.5 minutes to cover 360
degrees or 3.98 degrees per minute).  The angle is W = 2 pi/181 = 0.0347 
radians (2 degrees).  With R = 6678 km (300 km altitude of the GT-11), H = 
4.02 km, which means that when the GT-11 was 30 seconds from reaching the 
intersection "point", it was about 4 km "below" the plane tangent to the 
orbit at the intersection point.  On the other hand, during that 30 seconds 
the satellite travelled S = RW = 231 km, so the distance from the tangent 
plane (the plane of the triangles in the following analysis) is very small 
compared to the distance moved during the sighting as projected onto the 
tangent plane. Therefore the following analysis treats the orbital tracks as 
if they were projected onto the tangent plane. A more accurate, and more 
difficult , approach would be to used spherical-trigonometry. However, I 
believe calculation method used here is sufficiently accurate, considering 
the lack of precise data, to a)allow for an estimate the angle between the 
orbital planes and b) whether or not the track of the UOO is consistent with 
that expected of an orbiting satellite.

Figure 8 illustrates the orbital plane intersections and the (not to scale) 
plane triangles formed by the orbital tracks and the sighting lines as 
projected onto a plane that is tangent to the orbits at the intersection 
point.
___________________________________________________________________________



___________________________________________________________________________


In Figure 1 the distance d along the GT-11 track is the distance travelled 
(39 km to 77 km) during the time, 5 to 10 seconds, between the photos.

Since the photos are the only hard data available on the apparent size of 
the object I have decided to use them to estimate the distances r1 and r2 to 
the UOO and the angles of the sighting lines, theta 1 and theta 2.  The 
sighting direction angles with respect to the overexposed Agena antenna are 
reasonably straightforward to calculate from film measurements. 
Unfortunately the overexposure makes it very difficult to locate the actual 
antenna wires. However, they are barely visible. 

The relative distances to the UOO can be estimated from the photos provided 
a certain, slightly unfounded, assumption is made. I have noted that the 
maximum separations of the overexposed regions are different. This could be 
due to rotation of the UOO with no distance change.  However, because the 
astronaut descriptions indicate that the UOO actually moved closer to the 
GT-11 during the sighting, for analysis purposes I have ascribed the 
difference in the maximum spacing of the overexposed regions to distance 
change. As will be seen, this assumption leads to an intersection of the 
orbits that is reasonable in terms of the time from the initial photo to the 
time of disappearance of the UO in front of the GT-11. Other assumptions 
will lead to other values of the difference in inclination, delta i. 

I have done this calculation as a first attempt to determine whether or not 
any interesting information can be obtained from the data available and I 
have not tried to take into account the effects of modifying this and other 
assumptions.

                         "HARD" DATA
 
Relative Distances: from measurements on blowups it appears that the maximum 
spacing of overexposed regions in the two photos is (see Figure 6 for 
sketches) 0.25 mm in the second photo (S-66-54660) and 0.37 mm in the third 
photo (S-66-54661). Thus the maximum spacing increased by a ratio of        
1.48. This is interpreted as being due to a distance shrinkage by a factor 
of k = (1/1.48) = 0.676 where k = r2/r1 because the image size is inversely 
proportional to the object distance, assuming that the object itself does 
not change in size (by rotation or dilation) as projected onto the line of 
sight (r1 is the distance in photo 2 and r2 is the distance in photo 3; 
these distances are not known but the RATIO of the distances can be 
estimated from the photo images).  These quantities are defined in Figure 8.  
Note that if the change in maximum spacing of overexposed regions were due 
totally to rotation of the UOO and none was due to distance change then 
r2/r1 = 1.  This would only happen if the UOO were traveling parallel to the 
GT-11.  However, since the tracks apparently did cross it is reasonable to 
attribute at least some of the increase in image spacing to a decrease in 
the distance (r2 < r1). 

Sighting directions: angles, theta, with respect to the antenna were
obtained by measuring, on 1:1 scale copies of the 100x blowups, the distance 
between the largest overexposed image and a line drawn through the faint, 
twisted antenna image (overexposed). The measurement was done along a line 
essentially perpendicular to the antenna. There was very little change in 
spacing between the antenna and UOO images from photo 2 to photo 3.

Specifically I found the separation to be 27.7 0.5 mm in photo 2 and 28.0 
0.5 mm in photo 3. The error bar is due mainly to a problem in locating the 
antenna image exactly. The point on the antenna where the perpendicular line 
from the UOO image intersected was about the same (halfway up) on each 
photo.

Thus the sighting directions with respect to the antenna 
were:

theta 1  = arctan(27.7/38) = 36.1 +/- 0.5 degrees
theta 2  = arctan(28.0/38) = 36.4 +/- 0.5 degrees

According to the NASA data given in Appendix 1 the centerline if the GT-11 
was aligned with the orbital track and the "roll" was zero, meaning that the
antenna pointed radially away from the earth ("straight up.)  Therefore,
to obtain the angles with respect to the direction of the orbit, it is only 
necessary to correct for the fact that the sighting line from the left 
spacecraft window to the antenna was at some angle to the right of straight 
ahead. Not knowing the exact distance of the windows from the centerline of 
the capsule, and not knowing the exact distance of the antenna from the 
window, I have assumed the first distance to be 1/2 meter, and the second to 
be 3 meters. This yields a sighting line to the antenna which is about 9.5 
degrees to the right. Since this is based on crude estimates, I use 10 
degrees as the correction angle with the realization that it might lie 
somewhere between 5 and 15 degrees. 

Thus the angles to the UOO with respect to straight ahead are estimated at

theta 1 = 36.09 - (10 +/- 5) = 26.1  +/- 5  degrees  
theta 2 = 36.39 - (10 +/- 5) = 26.4  +/- 5  degrees.

The most important result from the photo measurement is that the difference 
in the angles is only a few tenths of a degree, whereas the angles 
themselves might range from about 21 to about 31 degrees.  (The second 
angle being larger than the first seems to suggest that the UOO was 
"dropping back" relative to the GT-11, i.e.,traveling more slowly than the 
GT-11.)


                          CALCULATION 

Figure 8 shows the equations which allow for calculation of the inclination 
difference, delta i. These have been incorporated into a BASIC computer 
program for convenience.  To complete the calculation two more assumptions 
are necessary:

a) from the maximum spacing of overexposed regions in photo 2 (0.25 
mm) and from the requirement that this correspond to a spacing of no more 
than 10 meters, the distance r1 is set equal to (38 mm/0.25 mm) x l0m =
1.5 km. 

b) the time between photos is set to 5 seconds.

With these assumptions and the speed of the GT-11, 7.7263 km/sec, we have:
k = 0.6757;
d = 38.63 km;
A = 38.61 km (slightly less than d);
B = 0.471 km;
C = 38.19 km (slightly less than A);
delta i = 0.314 degree = 0.00554 radians

When the calculation is done for 10 seconds between photos the long 
distances are doubled (d = 77.263, A = 77.245, C = 76.82) and B remains the 
same so the difference in inclination angle is cut in half to 0.156 degrees.

                          OBSERVATIONS 

The difference in orbital inclinations is very small whether there were 5 
seconds or 10 seconds between the pictures.  This suggests that the UOO 
should have passed over roughly the same areas of the earth as the GT-11 if 
it were in a normal orbit. The greatest separation between the GT-11 and the 
UOO would occur 1/4 of an orbit or about 22 minutes before or after the 
intersection considered here.  At that time the maximum distance between the 
GT-11 and the UUO would be equal to the orbital radius times the difference 
in inclination, delta i, (in radians). For the 5 second time delta i = .314 
degrees = .00554 rad and the maximum spacing, for a 300 km altitude, would 
be 0.00554 x 6678 = 37 km.  The spacing would be half that for the 10 second 
time.  About 22 minutes before the fateful encounter, GT-11 and the UOO (if 
in a normal orbit) would have been over "ye goode olde USA."  Would NORAD 
have missed a 10 m sized satellite traveling, say, 37 km away from (and to 
the north of) the GT-11, and nearly parallel to the GT-11 on a track which, 
22 minutes later, would bring them to within 2 km of one another?  

(Note that if k were greater than 0.676, meaning that r2 was closer to being 
equal to r1, then delta i would be smaller and the orbits would be more 
"parallel" and the unknown would be less likely to escape detection.  For 
example if only "half" of the image size increase could be attributed to a 
decrease in distance, then the size ratio would be 1.24 instead of 1.48 and 
k = 0.806 which leads to delta i = 0.18 degrees and the maximum separation 
would be 21 km.  If the image size ratio attributable to distance change 
were only 1.1, then k = 0.909, delta i = 0.08 degrees and the maximum 
separation would be only 9 km.)

It appears that the distance travelled by the UOO was slightly less than 
that travelled by the GT-11 in the same time. Specifically, for the 5 second 
time estimate the (linear, projected) velocity of the UOO is calculated from 
the above to be 38.19 km/5 sec = 7.638 km/sec.  Since orbital velocity 
decreases with altitude this result suggests that the UOO was in a slightly 
higher orbit.  The orbital velocity for a circular orbit at 300 km is 
calculated as follows, where g = 0.0098 km/sec^2 at the surface of the earth 
and h is the altitude above the mean earth radius:

 v  = [g/(6378+h)]^0.5 x 6378 = 631.7118 /(6378+h)1/2 = 7.7263 km/sec.

The velocity at 301 km is 7.7257 km/sec.  Thus the change in v is (- 0.0006) 
km/sec per km increase in height. (The negative sign means that the 
velocity decreases as height increases.  Note that this calculation yields a 
velocity consistent with what has been used above as the velocity of the GT-
11.)  For the 5 second time the difference in velocities between the GT-11 
and the UOO is about 7.726 - 7.638 = 0.088 km/sec which would correspond to 
a height difference of about 0.088/0.0006 = 146 km above the the GT-11.  
(For the 10 second time the altitude difference calculates to about 73 km.)  
Clearly this calculation, based on the assumption that the UOO was in a 
standard earth orbit, makes no sense because the photos show it had to be 
within 2 km of the GT-11.  

One solution to this problem is to assume that k was larger than 0.676, in 
which case the velocities were more nearly the same.  However, in order to 
reduce the height difference based on orbital velocities to several km it is 
necessary to decrease the image size ratio attributable to distance decrease 
to 1.01 or less (k = 0.99), in which case the height difference is 5 km or 
less.  Under these circumstances delta i = 0.00065 degrees and the maximum 
separation is only about 76 meters!  (Making k smaller makes the problem 
worse.)

On the other hand, one should keep in mind that, if the orbital velocities 
were very different, then the orbits were not at the same altitude and the
plane geometry approach to calculating delta i and other quantities becomes 
a worse approximation to reality.

But this does raise an interesting question:  do the photos indicate a 
velocity difference and, if so, what are the implications for an orbiting 
satellite?  Is there a contradiction here such as, there exists no orbit 
within 2 km of the GT-11 and consistent with the photos and sighting
duration for which the orbital speed of the UOO is noticeably less than that 
of the GT-11?

Unless, of course, the velocity of the UUO was not constrained by orbital 
requirements, in which case it could have "any" velocity!!

Using the law of sines it is possible to calculate the distance from the 
location of the GT-11 when photo 2 was taken to the orbit crossing point.  
The law of sines is written as r1/sin(delta i) = D/sin(180 - delta i - theta 
1) where D is the distance desired:  D = r1 sin(180 - delta i - theta 1)/
sin(delta i).  Again assuming the 5 second time between photos and the 
image ratio of 1.48, D = 121.8 km and the time to reach the crossing would 
be 15.762 seconds.  That is, about 10 seconds after the third photo was 
taken the GT-11 would have reached the orbit crossing point.  

A similar calculation yields the distance that the UOO had to travel to 
reach the crossing point, 120.4 km, and the time it took after photo 2 was 
taken would have been about 15.767 seconds.  This result indicates that the 
UOO and GT-11, AS DETERMINED BY THIS MATHEMATICAL MODEL, were only about 
0.005 sec apart at the crossing and GT-11 GOT THERE FIRST!!

(If the image size ratio attributable to distance change were only 1.24 
instead of 1.48, then k = 0.806, d = 38.63 km, C = 38.37 km, the distance
of the GT-11 from the crossing point was about 208.8 km and it took 27.03
seconds to get there while the UOO was 207.5 km from the crossing point and
took 27.04 seconds to get there, arriving 0.01 seconds AFTER the GT-11.) 

The astute reader will have noted that there is a problem here.  The 
astronauts stated that the UOO seemed to pass in front of them and perhaps a 
bit below.  Yet this calculation suggests that the UOO should have been 
visible out the left window, with the sighting angle (angle between the UOO 
and the antenna) actually increasing noticeably near the end of the sighting 
as the GT-11 moved "ahead" of the UOO to arrive at the crossover first.

The solution to this problem (and to the height problem) is to have the 
second angle, theta 2 be considerably smaller than theta 1.  Furthermore, k
would have to be larger, approach unity.  For example for the UOO velocity 
to exceed the GT-11 velocity with k = 0.9 (image ratio = 1.1) theta 2 would 
have to be as low as 10 degrees.  The photo data are, not compatible with 
such a low value for theta 2. In fact, there appears to be no photographic 
evidence that the angle was shrinking.   Perhaps if Conrad had taken a 
fourth photo there would be such evidence.

                                COMMENT

There is as yet no conclusion.  One can try to be more accurate measuring 
the photos and perhaps get a better estimate of the angle between straight 
ahead and the Agena antenna to make theta 1 and theta 2 precise.  In 
particular one would like to know whether or not the UOO was in 
fact, traveling slightly more slowly than the GT-11.  If theta 2 
really is greater than theta 1 or even if it is the same, then it appears 
that there is a contradiction between orbital requirements (slower speed 
implies higher orbit) and the photos.  As of this writing (Aug. 2000) this 
remains intriguing but unresolved.


NOTE:  it has been assumed that the UOO was in fact some large object at a 
distance measured in km.  However, one might also suggest a small object 
close by.  Could it be trash ejected by GT-11?  Probably not because trash 
would tend to remain in the same orbital plane, although the altitude could 
decrease and the speed could increase.   

Whatever is proposed, if it was man-made it must obey orbital physics.