PROGRESS REPORT FOR PERIOD 23 NOVEMBER 1967 TO FEBRUARY 9, 1968

• Document Type: CREST
• Collection: NGA Records (Formerly NIMA)
• Document Number (FOIA) /ESDN (CREST): CIA-RDP79B00873A001300010007-3
• Release Decision: RIPPUB
• Original Classification: K
• Document Page Count: 135
• Document Creation Date: December 28, 2016
• Document Release Date: August 29, 2012
• Sequence Number: 7
• Publication Date: February 9, 1968
• Content Type: REPORT

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VOLUME II - FINAL REPORT
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STAT
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APPENDICES
FINAL REPORT
. February 99 1968
Progress Report for period 23 November 1967
to February 9, 1968
STAT
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VOLUME II
TABLE OF CONTENTS
APPENDICES
PART II Design Specifications
PART III
Effect of Pitch, Roll and Yaw on
Measuring Accuracy
Task 16117,18 - Optical Design
Trip Report -
Task 24 - Scanning Device
Operating Instructions for the Image
Analysis System
Breadboard Tests and Components
of the Image Analysis System
Task 34 - Utilities, Vacuum & Air
Systems
Utilities Mechanical Schematic
Drawing E-6296
Tubing Assembly - Utilities Mechanical
Assembly - Drawing E5808
Electrical Diagram of Utilities Control
SK 405
Control Panel Schematic
Drawing D-6596
Task 35 - Vibration Absorption & Level.
Dynamic Analysis of Barry Controls
Task 43 - Computer Programming
Figures T43-1 - 1.7 and Notes
Non-Real Time Computations
Appendix II-A
Appendix T16,17,18-AsTAT
Appendix T24-A
Appendix T24-B
Appendix T34-A
Appendix T34-13'
Appendix T34-C
Appendix T34-D
Appendix T35-A
Appendix T43-4k
Appendix T43.-B
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PART II
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APPENDIX 1I-A
EFFECT of PITCH, ROLL, and YAW on MEASURING ACCURACY
o
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APPENDIX II-A
EFFECT of PITCH, ROLL, and YAW on MEASURING ACCURACY'
Figure II-A-1 illustrates the use of a measuring engine to
determine the x-y coordinates of a point P as compared to those of a
reference point R. Call the "true" coordina tes of P "x,y" and call its
measured coordinates "xm' ym". The "true" coordinates of the reference
point may be assigned arbitrarily, hence they will be taken the same as
the measured coordinates - "x y ". Measurement involves first
o o
placing the reference point R at the reticle (optical axis). The coordinates
xo, yo are thus read out. Next the point P is shifted to the reticle, as
indicated by P' coinciding With R, and the coordinates xm, ym are read
out. In the figure point R is shown shifted to R' and the X 0 Y axes are
shown shifted to X' 0' Y'.
In Figure II-A-1 it is assumed that the measuring engine has
permitted a small rotation along with the displacement - in order to
calculate the measurement error due to such rotation. For generality
it is assumed that the measurement axes have their intersection (M)
displaced from the reticle - by the amount d2 in the x direction and the
amount d1 in the y direction.
From the dfl
iagram it may be seen that the measured displacement
in the (-x) direction is
fl
xm xo ab = x sec + di tan 4)- x
where is the angle of rotation (yaw). Similarly, the measured displace,-
1
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ment in the -y) direction is
ym - yo = y sec 4, d2 tan 4, yo.
Hence the errors e and e in the measured coordinates are given by:
x y
and
2
e xm x = x(sec - 1) + d tan 4) ;12' x ) + d
x 1
(44
ey = ym y y(sec -1) - d2 tan 4, y (! ) d2 (4))
where the approximate expressions are valid for small values of 4,.
Figure II-A-2 similarly shows the effect of pitch on the measured
,x coordinate of point P. A diagram similar to Figure II-A-2 would likewise
show the effect of roll on the measured y coordinate of P. Evidently:
and likewise for ym -yo. These expressions are similar to those given
above for the effects of yaw.
The measuring engines of the Stereocomparator have pitch, roll
and yaw angles each substantially less than 10-5 radians. For angles
this small the errors shown by the preceding formulas may be separated
into two classes: those which vary directly with 4,, and those which vary
as the square of 4, Evidently errors in the latter category are so small as
to be entirely negligible. Thus the magnitude of errors due to pitch, roll
and yaw depends on the amount of separation between the measuring
axes and the reticle (i.e., d1 and d2 in Figure II-A-1 or d in Figure II-A-2).
The measuring engines for the Stereocomparator are designed
so the axes of the interferometer intersect the optical axis when seen
2
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t=i in the plan view (i.e., d1 = d2 = 0). In either elevation view the
E
plane of the interferometers is slightly less than 1/2" below the top
of the film platen (i.e., d 12,700 microns). Thus the effect of yaw
on measuring accuracy is negligibly small.
From measurements made of the granite flatness and from
dynamic measurements of air bearing deflections(1) it has been deter-
mined that pitch and roll angles are not more than about 2 microns
divided by the separation between the support air bearings for the top
stage. These distances are 20 inches in the x direction and 44 inches
In the y direction. Thus, the effect of pitch and roll is not greater
than
12700 x 2/(20 x 25400) = 0.05 microns.
From the foregoing, it is seen that the errors in measurement
which may be strictly charged to pitch, roll and yaw of the top stage
are so small as to be probably undetectable with any practical means
of calibration.
-3
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Figure II-A-1. - Effect of yaw on measured x, y
coordinates of point P as compared
to those of reference point R.
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Figure II-A-2. Effect of pitch (or roll) on measured x
(or y) coordinate of point P as compared
to that of reference point R.
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REFERENCES
Appendix
(I) Task 10 - Air Bearings, Vol.IX
? Task 42 - Breadboards and Test Services,
Vol. X and XI
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PART III
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0
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APPENDIX T16,17,18-A
TRIP REPORT
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S TAT?
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APPENDIX T16, 17, 18-A
Company Contacted:
Date: Week of January 15, 1968
Persons Present: (Representing
TRIP REPORT
(Representing
Detailed Drawings
is starting to make up a drawing plan list and they are currently
estimating a total of 1300 drawings. They only have been assigned 1000
drawing numbers, and therefore it will be necessary to give them an STAT
additional drawing number assignment. They have requested a block of 500
additional numbers.
STAT
STAT,
STAT
In the last month,
has increased their estimate for the total number
of drawings from 700 to 1300. This Is an increase of 85%. They are only
just now realizing the magnitude of the drafting work that is before them.
did not understand how to,use the title block and drawing
identification system. A group of sample drawing blocks was filled out for
them to show the method of using the titles and the uBe of the next assembly
drawing number system.
STAT
cS TAT
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STAT
771
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(continued)
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usual method of calling but screws and nuts of standard sizes
is to use a letter and number identification which can be referred to a
catalog index which will then give the number of threads, the length and
type of screw, and the diameter of the screw. This method was acceptable
except that it was necessary for
to include in the list
of drawings the detailed tabulation identifying the various screw parameters
in a manner that would allow specific identification of screws called out on
the detailed drawings. The respective detailed drawings will call out the
screw tabulation drawings in a manner similar to the usual standard parts
call-out.
was using a rather, involved system for identifying the appropriate
finish required on machined parts. agreed to use the RMS surface
smoothness system common in the United States.
will use their regular tolerance method which is a letter-number
system referring to a tabulated set of standard identifying symbols. They
will provide a tabulation of the identifying symbols and standard part drawing.
STAT
STAT
STAT
STAT
STAT
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STAT
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, (continued)
I -1
I1
?71
tzs
tA
Zoom Systems Ranges
stated that the reticle zoom system operates over the range of
1
\rid? and theiT\?
magnification. The main optical system zoom operates CY
STAT
1
over the magnification ranges of the v 10 to v-ro? . Both the above systems
zoom over a range of 10:1 but they are arranged to be in the opposite sense,
that is, as the main zoom magnification increases, the reticle zoom magnifi-
cation decreases.
Diffraction Limited Condition
In considering the size of the diffraction limited reticle spot,
pointed out that the limiting condition is not in the optical system of the
reticle, but rather in the main optical viewing path between the zoom and
the anamorphic lens system.' This arrangement has the effect of maintaining
the reticle spot free from the diffraction limited condition during changes in
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(continued)
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the reticle system magnification. The reticle zoom has to decrease the
diameter of the reticle spot to match the increases in the main optical path
zoom system. Under these conditions, if a minimum size reticle spot had
been set by the reticle system, then a further reduction in spot size by
changes to the reticle zoom could produce a diffraction limited or otherwise
defective reticle spot.
Having the diffraction limited system elsewhere in the system other than in
the reticle spot projector, maintains a high quality reticle spot for all
conditions of the reticle system.
Main Illumination Variable Condenser System
had designed a moveable illumination condensor which focused
the illumination at a point in the air beneath the film plane. Since a con-
ventional condenser system places the image of tiv light sorce within the
objective lens, it appeared that
practice.
design did not conform to usual
stated that their design actually did duplicate the conventional
system; however the co'rnbination main zoom and objective lens placed the
STAT
STAT
STAT
"center" of the lens system beneath the film plane from an optical standpoint.
The location of this point moved as the objective was switched and as the
main zoom lens magnification was changed. As the magnification increased,
the optical center of the system moved upwards and towards the film plane.
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A-caw= 0
(continued)
has agreed to provide a ray trace of this portion of the optical
system in order to clarify the functioning of the various elements.
Eye Position Sensitivity and Exit Pupil Diameter
The exit pupil of the eye piece system is one millimeter in diameter, and
the eye is located 20 millimeters from the last lens of the eyepiece assembly.
The normal eye has a pupiliary diameter of 3 millimeters; thus comparing the
one millimeter diameter of the stereo comparator exit pupil with the 3 milli-
meter diameter of the entrance pupil of the eye, it seems that the eye may
move 2 millimeters in any direction and still maintain full viewing of the
field. Any movement of the eye in excess of two millimeters will result in
portions of the field of view being cut off?from the eye.
The numbers above are quite normal for microscope viewing, and
feels there is no problem for the operator of the equipment. Further, they
set up an experiment with the parameters indicated above and it was noted
that there was no particular difficulty in maintaining adequate sight of the
field of view under these conditions.
The experiment as set up was quite definitive. The eye pupil consisted of a
brass plate with a 1 millimeter diameter hole in it. A10.%ccOntrest,ratio. target
was ? .16cated 25 .cm-s away.:frotn,thenlram-..dia: hole...I...Beyond the target was .
diffusing screen and an illumination source variable up to 1.5 stubs brightness.
STAT
STAT
No difficulty whatever was experienced in maintaining the proper eye alignment.
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11.1.1.p ne VOL L
(continued)
r-
Z.--
Film Cooling
presented
with the data on film cooling that had
STAT
been obtained
of the entire sub- STAT
about 12 of the
STAT
detailed descrip-
by tests
ject
asked for a presentation by
of film
cooling. A two-hour presentation was made to
technical personnel. The presentation included a
tion of the equipment and tests used at
and the results of the test in terms STAT
of the energy absorbed by the film; the, temperature of the film and the deduced
brightness level at the eyepiece.
It was 'shown that, for a temperature rise of approximately 10 degrees F, that
a magnification of 200X and with 3.0 density film the brightness level at the
eyepieces would be at least 0.025 stubs, and coincidentally, the energy
absorbed by the film would be not greater than 0.025 watts. The only experi-
ments that had been performed a
energy aspect of the film.
were to do with the temperature and
STAT
was equipped with the facilities to perform compatible tests involving STAT
agreed to cooperate in STAT
also agreed that they were responsiblSTAT
the optical aspects of the film cooling, and
the performance of these tests.
for the film cooling design problem as a whole.
The group at the meeting was anxious to proceed on an immediate basis with
this work, and
agreed to perform a vibration test. They were given
STAT
typical parameters for air flow and the geometery of a possible air nozzle system,
including a sketch for the experimental fabrication of the nozzle assembly onto
a microscope.
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1111p INe pl./1 Cl?je ?
(continued)
assembled an optical system with a resolution of 1000 linepairs
per millimeter, with a magnification of 200X and with 1.3 millimeter space
between the film plane and the nose lens of the objective system.
STAT
The film plane consisted of a glass target, aluminized to a density in excess
of 5.0. The target elements consisted of minute reticle spots of varying sizes
from well into the diffraction limited range to perhaps about 10 times the diffraction
limited size.
Both xenon and tungsten light sources: were..Utilized arict the, light level could be
changed from 0 to several stilbs as measured under the stereo comparator eye-
piece conditions.
Air cooling was provided at room ambient air temperature, with a flow rate ad-
justable from "0 to about 200 cubic feet per hour. The tests showed that under
the conditions stipulated, the temperature rise of the target was as predicted
(about 100 F) and with the 90% contrast ratio target, the target information (6 spots
in a circle) was readily resolvable at the minimum level of illumination, namely
0.025 stubs at the eyepiece assembly. Further, there was no evidence of vib-
ration caused by the jets of the air cooling system.
Note that a resolution of 1000 linepairs per millimeter at 200X represents lines
that are one micron apart, and under the stereo comparator eyepiece conditions,
these lines would subtend an angle of 3 minutes of arc.
Now considering that one micron on the film represents 3 minutes of arc, and
that the eyepiece resolves 2 minutes of arc, then the resolution of 1000 line
. . . ;:?.? ? ? T.:: ??:.,... .
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(continued)
pairs per millimeter should be readily observed, and in actuality, this was
found to be the case. For a target contrast ratio of 20%, the angle subtended
at the eye must be between 3-1/2 and 4 minutes of arc. This is slightly over
the 3 minutes of arc obtained above for a 100% contrast ratio target. In actuality,
the difference produced a marginal condition of resolution, but considering that
the condition is a limiting one, there should be no practical problem with the
stereo comparator.
position at this point is that the film cooling problem should not be of STAT
major concern, and that any further substantial experimental work should await
the fabrication phase of the stereo comparator when the servo systems for limit-
ing the brightness and various conditions of magnification.and film density can
be determined experimentally. ?
The optical system of the stereo comparator as a whole is sufficiently complex
to prohibit the exact determination of a limiting relationship without experiments
performed on the actual assembled hardware.
that they were not relieved of their contractual respon-STAT
the film cooling system, and that the experimental data
was told firmly
sibility for tle design of
was provided for
their information only. STAT
Modulation Transfer Function
Calculations
At the meeting between
of December 2, 1967,
STAT?
the optical consultant for
had recommended
that the modulation
function foiSTAT
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:Tr 4 n rtnrt ?_.... STAT e
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the system be computed, and
make a recommendatior
time
offered to interpret the date and
A budgetary price estimate was made at the
but the amount was deemed grossly excessive
the performance of the computer work was left in abeyance.
In the past month,
has obtained additional information from
and
STAT
STAT
STAT
g-TA-T
which is an optical institute in Paris. On this basis, they have now prepared a
price quotation of 10,992 francs, with a time schedule of four weeks for perform-
ing the modulation function calculation.
had interested himself in
STAT
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the problem and the reduced price for the work had been furnished by
STAT
STAT
has issued an appropriate purchase order toz:,
o perform the cal- STAT
culations and the definitive resolution information should be available in about
four weeks. The calculations will be made at 3 wavelengths for five zoom posi-
tions and for both of the objective positions, with data computed on the optical
axis at 1/3 of the field diameter, and at the edge of the field.
Platen Glass Specification
In order to complete the detailed optical design
thickness of the platen glass and its refractive index.
inforrriation as soon as possible.
urgently requires the STAT
agreed to provide ISTAT
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raYe 1U ?
(continued)
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This test was performed under conditions of bright room lighting. The illumination
fl
level of the optical system was fully adequate, but was not considered excessive
and there was no sensation of discomfort to the viewer.
fl
LN.GF1/4.C1.
?
Resolving Power versus Brightness at the Eyepiece
was asked to set up an experiment to show that the brightness level
will provide satisfactory viewing for
for the system currently specified
the stereo comparator film material.
The equipment as arranged consisted of a 2500 degree K tungsten standard
light source, with a diffuser and a 90% contrast ratio target. The target was
fl
adjustable to subtend various angles in the system, but the test were made at
3 and 2 minutes of arc. The three minutes of arc represented a resolution of
1000 linepairs per millimeter at 200X.
The test system was provided with an eyepiece 25 centimeters from the target
and with a 1 millimeter diameter pupil. ?
A 1.2 stub at the eyepiece, which was the maximum specified eye brightness
for the stereo comparator, the target was clearly visible at 3 minutes of arc,
and was discernible at 2 minutes of arc for a 90% contrast ratio.
STAT "
STAT
The brightness level at the eyepiece was adjusted to 0.08 stub and the target
was again examined. The 31,minutes of arc target was readily resolved, but
It was not possible to resolve the 2 minutes of arc.
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1LLJ PsJLILL rayeii
(continued)
r7.
The system was readjusted to 0.026 stub at the eyepiece. It was found to be
difficult to resolve 3 minutes of arc with the room brightly illuminated. When
the room lighting level was reduced somewhat and the eyes had become adapted
to the lower light level in the optical system it was found that the target for 3
minutes of arc could be resolved.
The light level at the eyepiece was readjusted to 0.008 stubs and with the
room brightly illuminated, it was not possible to resolve 3 minute's of arc. The
room lights were extinguished and several minutes were allowed for the observ-
ers eyes to become dark-adapted. Under these conditions, it was possible to
resolve 3 minutes of arc.
The system lighting level represented by the last brightness value is less than
1/3 the amount of minimum illumination specified for the stereo comparator.
The foregoing work was performed with a target contrast ratio of 90% and four
observers took part in the test with their conclusions unanimous.
The work was repeated in a qualitative manner, using representative typical
aerial film provided
In the worst case with the minimum level STAT
of illumination and with dark adapted eyes, and an eyepiece brightness of
0.008 stub under open gate conditions, the qualified observer considered that
the aerial film could be marginally but effectively interpreted.
From the practical standpoint, the foregoing tests are considered virtually an
order of magnitude (r.., 10X) more severe than is anticipated for the stereo
comparator.
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(continued)
Main Illumination Filter Density
On the basis of the film cooling experimental date,
hanged the
density range for the main illumination filter system to 0 minimum and
5.0 maximum. The previous density maximum had been 4.0, and the
original 3.0.
Schedule Review
STAT
agreed to incorporate the new density value. STAT
asked for a meeting at which
would be represented by the
technical director and the chiefs of the various optical and engineering
.design groups would be present. The purpose of the meeting was to place
before
a series of questions demanding an immediate answer.
1. What is the level of completeness of the
design contract.
STAT
STAT
STAT
Answer: 74% of the work has been performed, with 500 drawings
? completed:oiat-of &,totaLcif 13,00?kitstimatedv.I.'The.111umination system
is ,sti,11, undergOing-condeptualclesign. The drawings yet to be finished
are primarily in the category of detailing. The engineering design
has been performed during the layout phases of the drafting work.
Thus, the drawings remaining are relatively elementary in character,
and require only a limited number of manhours for their completion.
2. Will
meet the design completion date of February 28, 1968? STAT
Answer: Yes, they will. They understand that this date is critical
and any slippage would have the effect of indicating a lack of ability
to perform on the part
will look into the ques- STAT
tion of schedule in the course of the next few days in greater detail,
and if there should be an important slippage past the date of February
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7 "
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fl
(continued)
28, they will notify
3. What does
immediately.
STAT
consider as their contractual status in regard STAT
to film cooling problem? Answer:
understands that they STAT
have the design responsibility. They are
extensive experimental work to the fabrication
4. On the basis of the December 2 meeting
contemplating
phase
defering anyy
of the program.
was to advise STAT
the performance specifications
for the
optics. When STAT
regarding
`=.
will this information
be furnished? Answer:
February 2, 1968.
5.
When will
furnish with the
anticipated resolution STAT
. level for the
system'?
this informaticTAT
Answer: will provide
1=1
by February 2, 1968. This work should not be confused with the
modulation transfer coefficient date to be determined by computer
runs elsewhere in the program mentioned in this report. This work
would involve on axis information only and would be on the basis of
estimations by hand calculation.
6. Will
make the interpretation and-anilygisafthe, niodUlation STAT
transfer coefficient calculation? Answer: This work was not included
in the quotation mentioned elsewhere in this report.
was STAT
directed to provide graphs showing the resolution in?linepairs per
millimeter for the various parameters stipulated for the computer
computations.
was done).
.7. Does
fl
Any change of scope will be negotiated. (Note: This
accept the rejection
of the two-lamp main
illumination system? Answer: Yes. We will follow as far as pos-
sible the system design suggestions offered
i= Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
STAT
STAT
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3 TrAT
(continued)
k=i
8.
9.
STAT
moveable condenser drive for the illumination system
has many mechanical interferences.
this problem has been tendered to
will
A suggested layout to solve
By what date
with the
definitely solve the problem and furnish
appropriate drawings? Answer: January 26, 1968.
has provided
aids.
with photographs of two typical briefing
has likewise stipulated that
should make at
STAT
STAT
STAT
STAT
least 5 briefing aids of 30 x 44" size. They have been given contract
specifications covering this material. The briefing aids should include
the following material:
a. The overall optical system.
b. The illumination system and the zoom system.
c. Reticle system.
d. The anamorph system and the image rotation system.
e. The optical switching system.
10. A short written description should be provided for each of the brief-
ing aid drawings. When will the information be completed
Answer: February 28, 1968.
STAT
11. :Raytrace ,information must be Provided for the input and output elements
of the.optical system:
a. The illumination moveable condensor, the objective, and the
main zoom system.
b. The eyepiece system. When will this information be available?
Answer: February 28, 1968.
12. When will
select the drive equipment for the optical drives
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STAT
'
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(continued)
and when will they furnish the inertia data for the optical system:
Answer: February 2, 1968.
13. When wil
fix the contour of the objective housing, especiaSTAT?,
this must include any housing for the film cooling equipment?
Answer: january,25, 1968.
14. When will provide brightness and specification data for the STAT
15.
reticle and main illumination lamps. Answer: January 26, 1968.
STAT
has been promising for six weeks to send the optical glass
procurement specification
In addition, a price quotation is STAT
required. When will this information be provided: Answer: January
26, 1968.
16. Among the deliverable items are the following documents used during
the design effort.
a. Original tracings.
b. Plan list.
c. Computer printouts.
17.
d. sCalculations.
e. Graphs.
f. Notebooks.
gr Sketches.
h. Etc.
When will
1968.
furnish this information? Answer: March'28, STAT
S
requires information regarding the depth of focus of the film planTAT
for various magnifications and for the two objective lenses. When can
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-31TAT
(continued)
this information be provided. Answer: February 15, 1968.
18. In the original program, there was a planned visit by
Berkeley in December 1967. Since
to
STAT
STAT
was behind the schedule a
that time, it was agreed that there was apparently no necessity for
such a trip; in fact, more specifically, that such a trip would be un-
profitable and the only satisfactory situation would be for the
resentatives to go t
STAT
rep-
in order to be able to interface with thSTATe
many designers working on the different aspects of the problem. Also,
in the original planning was the requirement that make a trip to STAT
at the end of the contract to review the details of the COM- STAT
pleted work to be sure that all interfaces are in order and the various
specifications have been considered and met.
Considering the present and contemplated status of the program, what
is
recommendation regarding the end of the program meetiSTAT,.
Answer: The final meeting of the program should definitely be held at
STAT
Only by this means can the many technical people partic-
ipating in the program be present to explain the details of the design,
and answer questions involving interface and specifications. It is not
practical. for
S
to send such a necessarily large staff to Berke?,TAT
for this type of consultatibn? Ordinarily the trip to
would be madSTAT
by the technical director and the sales manager, but these people would
not be able to discuss details of the program known only to the qualified
engineers performing the design work.
travel to Paris for this meeting.
recommends that
SSTAT
fl
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Page 17
Trip Report
(continued)
19.
It has been noted that
has available a reproduced tracing
STAT
material similar to the
material furnished
STAT
to
requests that in the future
so that
send their drawings on this materSTAT
ay reproduce and utilize prints that are readable'in placeSTAT
as been sending which makes STAT
of the present material that
almost unintelligible prints. Is this .satisfactory to
.STAT
?
Yes, they will reproduce their tracings for information purposes on the
new material.
General Comments
frequently states that this particular job is taking considerably more STAT
time than they had anticipatedi:ot,, they will :say, wia dickn:tinclude that. in our
original pricing, but we do see that it has to be done, etc., etc., etc.
The evidence is that they are over-running the program from the fact that there
are 85% more drawings than they had anticipated, plus the fact that the program
is apparently running a least one month behind schedule. expressaSTAT
a great interest in getting the work done and meeting the February 28 deadline.
has said that they want to maintain the
rsn? A -I-
image as a good STAT
performer so that they can be considered for the follow-on hardware, that is,
be considered without performance criticism. They are discovering new problems
almost daily and the cost of these items was definitely not in their original price
estimate.
has given very little personal attention to the design details STAT
of this work, and his engineering personnel seem extremely competent, but I
believe the project lacks direction and organization.
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E Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3 ;TAT
LL LF "Wk?'""'
(continued)
t=.
is not running this work as a project - rather, it is as a technical STAT
group which appears to make its own decisions for different aspects of the job,
often without significant consultation with the other
Overall, the
groups. STAT
staff;members are-extrernely.coopetativei,-;and,when a:pr6TAT
arises they will usually accept a suggestion as if it were a technical dirESTATL,
even though the suggestion was perhaps relatively superficial.
For a development project such as the Stereo Comparator,
has demonSTAT
strated one almost overwhelmingly good characteristic - they allow the
STAT
representative to consult in depth with their technical personnel, and apparently
hold nothing back so that sensible judgment!: and course direction may be made
during the project. In addition, they seem to ignore possible changes of scope,
that is, they appear to consider the project as a job to be done rather than as a
contract to be fulfilled.
Up to this point in the program, at least, there are no regrets in the matter of.
selecting
as the optical design vendor. STAT
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APPENDIX T24-A
OPERATING INSTRUCTIONS FOR THE
IMAGE ANALYSIS SYSTEM
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1=3
7
I
1=1 ?
trzi
r-
TECHNICAL REPORT
4 JANUARY 1968
STAT
OPERATING INSTRUCTIONS
FOR THE IMAGE ANALYSIS SYSTEM
PF R-68-002
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STAT
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I
fi
PL
OPERATING INSTRUCTIONS
:This volume contains instructions for the operation, checkout, and servicing of the Image
Analysis System.
1. TURNON PROCEDURE
fl
When the POWER switch on the front panel is placed in the ON position, the entire Image
Analysis System is energized. Since there are no time delays in any part of the interfacing
equipment, no particular turnon order is necessary. It is recommended, however, that the
correlation inhibit signal be present either before or during the energizing process to keep mean-
ingless signals from the Servo 'elements.
2. WARMUP TIME
Although warmup time is expected to be quite short, a definite length can be established only
after the complete stereo system has been tested. The unit may be used immediately after turnon;
however, it is possible there will be some reduction in accuracy.
3. OPERATOR ADJUSTMENTS
t The Image Analysis System has been designed for a minimum number of operator adjustments.
We have recommended that two c6ntrols,. X raster position and Y raster position, be located on
the stereo system control panel. This will permit the electrical axes to be adjusted until they
correspond to the 'optical axes. These are the only controls available to the operator.
4. MARGINAL CHECKING
Because of the operating procedure of the Image Analysis System, most sudden failures will
fl be detected by the operator as a decrease in automatic correlation or a complete loss in stereo
'
fusion. Gradual deterioration of circuit performance is difficult to detect during normal operation.
For this reason, a routine marginal checking procedure is recommended.
Two tests are given below to detect gradual deterioration of gains and circuit performance
which may not produce visible difficulties during normal operation. A sudden drop in performance
would indicate the need for servicing and, adjustment.
Correlation Ouality Threshold. Calibrated test images (to be specified) should be used to
check the correlation quality threshold. When the images are registered and lockon is achieved,
reduce the light intensity by means of neutral density filters or other suitable means until
correlation fails. At this point correlation quality is zero. *cord the light level or filter value.
Lockon Range. Using calibrated test scenes, register the images and inhibit correlatioh.
Displace one image in X, relative to the other, an amount equal to 5 percent of the image diameter
at the image dissector. Correlate and measure the rise time of parallax error signals. Record
the rise time.
1
Lii
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Li
771
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Table 1 -- Service Procedures*
Malfunction and Possible Cause
Loss of correlation
Correlation quality level 0
(correlation enable line
normal)
Correlation quality signal
level 1
Reduction in pull-in capability
(correlation otherwise normal)
Correlation erratic
Error signal response slow (pull-in
normal)
Error output greater than sii'ecified
Test
Check scan waveforms at chassis test
points and time base ifno output. If time
base outputs are normal; replace or test
sum and difference board.
Check video signals at cassis test points.
If no outputs4re obtained, measure direct
current to deflection amplifiers; if normal,
check image dissector assembly (video
amplifier, dynode regulator).
If both video outputs are normal, replace
or test channel selection board.
Check X and Y parallax error signals.
If outputs are zero or saturated, replace
or check parallax analyzer board.
If parallax error signals are normal,
replace or check modulator board.
Replace or check sum and difference board.
Check or replace video correlator, band At
or band A.
Check or replace channel selector.
Check or replace channel selector, channel
selection logic board or distortion analyzer.
Check video output. Check dynode regulator.
Check image dissector focus.
CheCk parallax analyzer.
Check distortion analyzer.
Check integrator.
Check and recalibrate parallax analyzer
for parallax errors.
Check and recalibrate distortion analyzer
for first-order errors.
Check and recalibrate integrator.
*These procedures are given ianly'as an aid in troubleshooting down to the circuit board
level. Refer to system anditidividual circuit board test procedures for further information.
2
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: Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
APPENDIX T24-B
BREADBOARD TESTS AND COMPONENTS OF THE
IMAGE ANALYSIS SYSTEM
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fl
TECHNICAL REPORT
4 JANUARY 1968
BREADBOARD TESTS AND
COMPONENTS OF THE
IMAGE ANALYSIS SYSTEM
STAT
STAT
PFR-68-003
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
BREADBOARD TESTS AND COMPIONENTS
This volume contains the results of the breadboard tests of the Image Analysis System
circuits. Two circuits Were breadboarded and tested on this program: (1) a deflection am-
plifier (schematic 126908) and (2) a time base oscillator phase lock (schematic 126896).
Certain proprietary circuits were tested to determine their suitability for this program. These
include a video amplifier, video correlator, analyzer, and modulator. The results of these tests
are summarized below. Table 1 lists the components used on the breadboards. Final disposi-
tion of the material will be agreed on at a later date.
DEFLECTION AMPLIFIER
The deflection amplifier requires a voltage to current amplifier with an output of ?75 milli-
amperes. Since bandwidth requirements must be high enough to preserve a relatively sharp
corner on the triangular waveform output, the full bandwidth output should exceed 250 to 300
khz. In addition, there should be low drift operation over long periods of time with some varia-
tion in temperature.
An attempt was made to use a standard high performance operational amplifier (Analog Device
type 116) for deflection using current feedback. However, difficulty was encountered in stabiliz-
ing the device with the inductive load of the deflection coil. Also, since full output bandwidth was
less than has been expected, another circuit was designed which employed a wideband opera-
tional amplifier to drive a complementary transistor output stage (schematic 126908).
Test results on this circuit, particularly with respect to ease and flexibility of stabiliza-
tion and frequency response, were encouraging. Fig. 1 shows the output current waveform and
deflection coil voltage for a triangular input waveform. The output current is 150 milli-
amperes peak to peak, and the voltage is 16 volts maximum peak to peak. Current output was
identical to the input waveform, with a small delay (less than 2 microseconds). Fig. 2 shows
the turnaround region at an expanded time scale.
The stability of the amplifier (Fig. 3) was measured over a period of 5 hours. Drift Was
less than 300 microvolts from turnon, which is less than 1/5 of the speCification tolerance.
TIME BASE OSCILLATOR
The time base oscillator must be synchronized to 120 hz derived from the power line, and
low frequency hunting or instabilities should be minimized. The oscillator was breadboarded
using an integrated circuit level detector connected as a multivibrator with an FET used as one
of the frequency determining elements (schematic 126896). A voltage variation (?25 khz) at the
FET gate changes the frequency of the oscillator, nominally 460 khz. The oscillator output was
divided by 4,000 using a frequency counter and two flip-flops. This output was compared to an
external 120-hz input by means of a phase detector. (The divider ratio on the final design is 3,840.)
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111
LINJ
fami
The final breadboard circuit gave positive lockon with relatively fast response (see Fig. 4).
The 120-hz component in the control voltage was attenuated sufficiently so that no evidence of
jitter was observed in the oscillator output waveform.
VIDEO AMPLIFIER
The frequency response of the video amplifier (Fig. 5) indicates a 3 db drop at 9 khz and
1.2 mhz. Although the low frequency response is satisfactory for this application, the high
frequency response could, if necessary, be reduced to about 400 khz to improve the overall video
signal to noise ratio. ?
The range of automatic gain control is shown in Fig. 6. If some clipping of the output wave-
form is tolerated, then the range of control can be greater than 1.000:1. However, to ensure
greater accuracy of the correlation system, clipping should be avoided (this reduces the effective
range to about 30:1). The additional control range has been provided by adding a dynode regulator
to the photomultiplier section of the image dissector.
VIDEO CORRELATOR
Tests were carried out on the A band correlator. Fig. 7 shows the frequency response of the
normal correlator output and the null output of the orthogonal correlator, with identical inputs of
1 volt peak to peak. The gain of the normal correlator is approximately 5 at the center frequency.
The orthogonal correlator frequency response is -6 db at the low end (34 khz) and -3 db at the
high send (109 khz), as shown in Fig. 8. The ratio of the output to null voltage at the center fre-
quency is equal to 70:1 for the tests shown. Dynamic range and linearity of the multiplier are
shown in Fig. 9. The gain of the orthogonal multiplier is 2.5.
ANALYZER
The parallax and distortion analyzers are similar circuits. Fig. 10 shows the typical dynamic
range and linearity. Inputs are a 1-khz sine wave and an 8-khz square wave. The output is a modu-
lated 8-khz carrier, with characteristics as shown. In this case, the gains of the two circuits
tested differ considerably, indicating the need for normalization on the production units. The null
with zero sine-wave input is generally much less than 25 millivolts peak to peak for all units
tested.
MODULATOR
The modulator (Fig. 11) was tested for linearity, dynamic range, and gain stability:. Linearity
is excellent over the ?5-volt control range. The gain, at 25?C, was 0.40, i.e., a 1-dc input gave-
0.40-volt peak to peak output. Gain decreased with increasing temperature, with a typical change
of 0.2 percent per ?F change of ambient.
Fig. 12a is a photograph of the output waveforms with +.5 volts applied to the control input.
Fig. 12b shows the null output (0 volts in) to be less than 5 milliyolts peak to peak.
The frequency response of the modulator is indicated by the waveforms of the square-wave
response (Fig. 13). The rise time of the leading and trailing edges is approximately 0.15
microsecond.
1
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7
itD
rl
fl
t=1
1=g
Table 1 ? Breadboard Components
Component Quantity
Time base oscillator
Micrologic circuits FD 950 2
Micrologic circuits, Fairchild, ALA 750 1
Transistors, 2N3643 2
Potentiometer, 1 kilohm 1
Resistors, 1/4 watt 12
Capacitors. 5 at 50 vdc 2
Capacitors, 0.0047 millifarad 1
Capacitors, 22 picofarad 1
Diodes, 1N753 1
Fairchild, FAA 710 1
Transistors, 2N4091 1
Capacitor, 0.015 microfarafl 1
Capacitor, 3.3 millifarad 15 vdc 2
Resistors, 1/4 watt
Deflection amplifier
Micrologic circuits MC1530
Transistors, 2N3643 4
Transistors, 2N3644 2
Diodes, FD6193 2
Diodes, 1N4729, 3.6 volts, 1 watt 2
Capacitors., 360 picofarad 1
Capacitors, 150 picofarad 1
Capacitors, 0.015 millifarad 1
Capacitors, 3.3 millifarad, 15 vdc 2
Resistors, 1/4 watt 20
Experimental deflection amplifier
Analog devices, number 116 amplifier 1
Resistors, 1/4 watt 4
Capacitor 1
.7t
1
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
?Fig. 1 ? Deflection coil voltage, 5 volts per centimeter (deflection current =
50 milliamperes per centimeter, sweep = 20 microseconds per centimeter)
\--
,
-7? --: -- - ?. '
t
,
t
,
i
' 344
Fig. 2 ? Turnaround region, expanded time scale (voltage = 5 volts per
centimeter, current = 25 milliamperes per centimeter, sweep = 2 micro-
seconds per centimeter)
4
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EDeclassified in Part - Sanitized Copy Approved for Release 2012/08/29 : CIA-RDP79B00873A001300010007-3
r-
1=1
400
-8 300
200
20?C
21 ?C
22'C
22.5?C ambient
20?C
0
20
10
5
0.5
0.2
0.1
1 2
Time, hours
3 4
Fig. 3 ? Deflection amplifier stability
0
0
0\
\o
0
I
1
0.5
1
2
5
10
20
Frequency, hi
Fig. 4 ? Open loop response, phase lock loop
50
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I Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: Clk-RDP79B00873A001300010007-3
Output Voltage
rr
1=1
17.
0.5
0.4
0.3
0.2
0.1
5
Output, volts
10 20 50 100 200 500
Frequency, khz
Fig. 5 ? Video amplifier frequency response, 2-millivolt input
5.0
2.0
1.0
0.5
0.2
Distortion starts at 200 millivolts.
1
2
10
Input. millivolts
20
1 1
Fig. 6 ? Automatic gain control range
50
, 1,000
100
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771
77.
71
t=2
Output Voltage, peak to peak
0.05
0.04
0.03'
0.02
0.01
1
Normal output*
Null output*
20
40
60
80
100
Frequency. khz
*Outputs and inputs, joined at 1 volt peak to peak.
120
140
Fig. 7 ? Correlator A frequency versus orthogonal and normal outputs
4
160
Output Voltage, de
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
't=f
3.0
2.5
2.0
1.5
i; "n
1.0
0.5
0
Band A
0
20
40
60
80
Frequency, khz
100
120
140
Fig. 8 ? Correlator A frequency versus orthogonal output
160
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Output Voltage,
Output Voltage, peak to peak
0.
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10
8
4
2
0
12
? Positive and
negative limit,
Negative
side limit
10
8
6
4
2
0
1 2 3.
Input Voltage, peak to peak*
*Right input varied: left input Constant at 1 volt peak to peak..
Fig. 9 ? Correlator A dynamic range, 64-khz input, 60-hz-beat output
4
I
Positive
and
I
negative
limit
..
.
, ?
Positive
negative
and
limit
P Y
out*
..
4.
Px
out*
0
1
2
3
4
6
Input Voltage, peak to peak
*Px and Py common inputs = 1 khz.
7
Fig. 10 ? Distortion analyzer dynamic range
9
10
9
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age, peak to peak
1
r-A
3
1
0
-3
t
/
/
.4.0?-
...'"
Output
at 25?C,
gain = 0.40*
,
/
?
,
,
'?Output
gain
at 50?C.
= 0.364*
'
/
d'
/
-10
-4
-2
0
2
Input Voltage. dc
*Change in gain = 0.2 percent per ?C.
Fig. 11 ? Modulator tests
4
8
10
10
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-F1
177
(a) Input 5 vdc, 1 volt, 50 microseconds perU division
(b) Input 0 vdc, 5 millivolts, 50 microseconds per division
Fig. 12 -- Modulator tests
11
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r_7
r?1
(a) Leading edge, 1 volt, 0.1 microsecond per division
(b) Trailing edge, 1 volt, 0.1 microsecond per division
Fig. 13 ? Modulator tests
12
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APPENDIX T34-A
UTILITIES MECHANICAL SCHEMATIC
DRAWING E-6296
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APPENDIX T34-A
UTILITIES MECHANICAL SCHEMATIC
DRAWING E-6296
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r,
APPENDIX T34-B
TUBING ASSEMBLY - UTILITIES MECHANICAL ASSEMBLY
DRAWING E-5808
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r,
APPENDIX T34-B
TUBING ASSEMBLY - UTILITIES MECHANICAL ASSEMBLY
DRAWING E-5808
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1
APPENDIX T34-C
ELECTRICAL DIAGRAM OF UTLLITIES CONTROL
SK-405
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1
APPENDIX T34-C
ELECTRICAL DIAGRAM OF UTLLITIES CONTROL
SK-405
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74.
APPENDD( T34-D
CONTROL PANEL SCHEMATIC
DRAWING D-6596
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74.
APPENDD( T34-D
CONTROL PANEL SCHEMATIC
DRAWING D-6596
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0
APPENDIX T35-A
DYNAMIC ANALYSIS
9001147 ISOLATION SYSTEM
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STAT
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0
0
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Ho
DYNAMIC ::ANALYSIS
9001147 ISOLATION SYS'iTh
fr',r
Steno Comparator
WD-495
December 28. 1967
Submitted to:
STAT
STAT
STAT
STAT
STAT
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eport No. WD-495
TABLE OF CONTENTS
Page
1.0 Scope
1
2.0 Sign Convention
1
3.0 Summary of Results
2
4.0 Analysis
12
APPENDIX I - (Computer Printout, Moment of Inertia)
17
APPENDIX II- (Computer Printout, Response at C.G.)
19
APPENDIX III- (Computer Printout, Response at Pts. Al &
A2)-
-24
APPENDIX IV - (Computer Printout, Eigenvalues, Eigenvectors).-33
APPENDIX V (Miscellaneous Calculation) 35
Page i
?
STAT
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F-2
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Pm
1.0 SCOPE
Report No. WD-495 Page No.
of this report is to analyize the response o
stero comparator when mounted on
o ation System and subjected to the vibration inputs per
Report No. 1398.
2.0 SIGN CONVLNTION
9001147
2.1 The location and orientation of inertial reference axis for
which all location dimensions are referenced, is as slloWn in
Figure I.
PO*64T A
Neutral Position .
of Optical Axis
FIGURE 1
STAT
STAT ,
STAT
STAT
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Report No. WD-495
3.0 SUMMARY OF RESULTS
3.1 Weight
W = 26,344 lbs.
3.2 Location of C.C.
6.10 Ft
3.08 Ft
?
2.49 Ft
3.3 ,Principle Moments of .Inertia
Page No. 2
Ixx
1YY
I zz
3661.9
ft-lb-sec2
12412
ft-lb-sec2
13438
ft-lb-sec2
3.4 Products of Inertia
lxy
-2.967
ft-lb-sec2
1 xz
-13.71 ft-lb-sec2
-23.75
I,
jz
ft-lb-sec2
3.5 Radius of Gyration
P
X
P
P
z
2.116 ft.
3.89S ft.
4.053 ft.
3,6 Undamped Natural Frequencies of System
STAT i
Mode
1
2
3
4
5
6
Natural Freq.
0.687 Hz
.0.504 Hz
1.052 Hz
1.603 Hz
1.296 Hz
,
0.903 Hz
3.7 Transmissibility ._vs_ Frequency Curves
3.7.1. Figures 2 - 4 Show the Response at the Systems C.G. ?
3.7.2 Figures 5 - 7 Show the Response at Optical Axis Point.A1
2.7.3 Figures 8-10 Show the Response at Optical Axis Point A2
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FREQUENCY (Hz)
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=Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3 ,
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
TRANSMISSIBILITY?vs- FREQUENCY PLOT
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7 Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Li TRANSMISSIBILITY -vs- FREQUENCY PLOT
Loaation:
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FREQUENCY (Hz)
Report No. Wa-495 Page No. 7
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
TRANSMISSIBILITY -vs- FitQUDCY PLOT
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Neutral Position of Optical Axis (Point A1)
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Page No. 8
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
TRANSMISSIBILITY -vs- FREQUENCY PLOT
Location:
Neutral Position of Optical Axis (Point A2)
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
TRANSMIS;;IBILITY FREQUENCY PLOT
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Neutral Position of Optical Axis (Point A2)
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" 1--:: ?? I `. -:: . . ? : ; r,..; :.::
... .... _ ? _ i_ J. . .. . . . . i, . ? ... ...... .... .... ... .........:Ir....: .. .. .......: : ..
I
,-. --,:_"-- - i : 11 :?: : : 4. .... .... 1 .... ..... ?. .... 1 ?,.. .... ....1,. .1 .
'-'11'"I'"''''1
"`''' -
I'"1" - ......
. ?
....it: 4 A a I 4
I ???? ....... ? ??
I "I.
17' 1 444
1,:1 ?,. .
01 -7:7 1;t: -Li f;lt ail
it 11(11 '141 .4 1111 lin
13- 2 2 4 0 0 7 ? a a 3
..-; .. : ..
I ,
1 I ?
'
?
80 7 0 9 ip 3 4 80
FREQUENCY (Hz)
STAT
Report No. WD-495 Page No. 10 F.
t_a Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Li
LI
ta - -- - ??? ? 1, . ? ? .
7
' 1
' . 1 . ' ??? 1
L_j a ?
? : 1 : : : . .. : .. I
i : . ' : . ? ?
? ? : :- 1
ILJ
?flc
_
u
TRANSMISSIBILITY -vs- FRIXAINCY. PLOT
Location:
Neutral 'Position
Direction:
Vibration Input
Vibration Output
?
10
'
of Optical Axis (Point
= Z Direction
= Z Direction
A2) ?
?
3
? .
.. : 1 '? ":? 1:?
1.. ?"
7
Iff
sr
.? .... f ? f ?I? ? ? I..
.? ? 4.?1 .. ; ? ....
. ? ; ??I ??
? I ??'? ?????
? ? ? I ? ? ? ? ? ? ?.
; I I
1 I "i' . i ?
'
..... 1 . ? . ,
? ,
... ?,,, ?
? ? ,
? I ' 1 ! -; ?
't-tt jttt'
rat-. 7
.? 1 ".
'
'
.. : ? i . .
? '
, ; ? '? ? .1 ? ??
???????
:
n 3
?
?
.
n 214
?
:
??? 1:
.1?
. . ? . ? ,....,11". ! , ':;i:
11..J..,
_.4_.......,_.,....._.....,_ _._...,?_. ,_. ,..? ..4.1.:A.-14. , ? -..? AL
.--...1 ...- . .... . :4 ..: ? ...LI:, .?.1 ?. : ? ?ji
Ai E.. iii Li?
---A.-- A i .....??? , . ! . 1-'..A i..1...1; 1+i; ?III ? 1!
1 A .1 1 ? .11.!!!. !mill! I it! Hu
E _,......_,.._,..._.._,_.......ii,::,..,.,4,,,, ?, 1.4.p if li 1 Milli,
,, a a 4 0 a 7 . ? ? C 0
?
"A?1???
? .:1. . ! 1
. ....... .
,
: . !
' ?
? ?
III
I? ? : ' . "
I .
4 ? .4 .
Ii
_
'
Yd.' 1 ?
B 6: i00
3 4 Es a 70910
FREQUENCY (Hz)
Report No. WD-495
Page No. 11
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
STAT
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
4.0 ANALYSIS
Report No. WD-495
4.1 Weiht, Moment a Products of
4.1.1 The System was broken
sections based on the
a)
b)
c)
d)
e)
f)
g)
Page No. 12
Inertia Calculations
into 25 rectangular or triangular
following drawings as submitted by
SK 382
SK 383
SK 384
D 1104
E 4444 Sht 1
E 4444 Sht 2
F 6109
? The weight, location and moments of inertia about the
. individual C.G. was tabulated as listed in Table I.
These values were inserted into a computer program to
determine the composit..weight, moments and products
of inertia, C.C..- location and radius ofgyration. The
printout of the results is Shown in Appendix I.
4.2 System Response
4.2.1 The system response is calculated in term of transmissibility
(i.e. .ratio of oiltput displacement to input displacement).
Therefore, to determine the actual output displacement at any
. frequency, the transmissibility is just multiplied by the
corresponding input displacement. The response of the C.G.,
along with the phase relationships for frequency between. 0.25 Hz
? and 30 HZ were determined and the computer printout is listed in
Appendix II.
4.2.2 The transmissibilityof the two optiral axes (Points A1 F.. A2)
were determined for frequencies between 0.25 Hz and 30 dz.
The computer printout is listed in Appendix III.
STAT
STAT
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11
INN
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
STAT
Report No. WD-495
TAI LE
Pai,c No. 13
Call cL.NT
NO. .
_
x
(rt.)
_
y
(Ft.)
--z-?i,,i-it-i
(Ft.)
6
(11)5)
1 xx
Ft-Lb-Sec 2
IYY TI,z
rt-Lu- ;(.2C 2 i t -L1J-S('C 2 r
1
6.10 1.50
0.75
3100
98.60
-
863 882.40
? 2
2.50 1 4.58
0.7.5
1210
57
38.50 65
3
9,70 4.58
0475
1210
57
38.50
65
4
2.50
3.30
2.40
61100
757.20
328.90
. 1027.20
5
9.70
3.30
2.40
6400
757.20
328.90
1027.20 '
6
0.17
2.30
2.60
272
3.10
2.50
0.83.
0.17
3.30
4.03
403
10.20
0.95
9.50
8
0.17
4.30
2.60
272
3.10
2.50
0.83
9
12.00
2.30
2.60
272
3.10
2.50
0.85
10
12.00
3.30
4.03
403
10.20
0.95
9-50
11
12.00
4.30
2.60
272
3.10
2.50
0.83
12
,4.75
2.30
2.40
200
1.50
0.98
0.58
13
4.70
2.70
3.80
575
7.90
3.30
5.40
14
7.75
2.30
2.40
200
1.50
0.98
0.58
15
7.67
2.70
3.80
575
7.90
3.30
5.40
16
6.10
1.50
3.58
780
37.80
37.80
12.10
17
2.70
3.31
3.48
300
19.40
7.80
27120
18
9.46
3.31
3.48
300
19.40
7.80
27.20
19
2.96
3.30
3.85
700
45.70
7.50
52.80
20
9.20
? 3.30
3.85
700
45.70
7.50
52.80
21
2.29
3.13
4.61
540
4.60
31.50
31.90
22
1.14
3.13
5.47
60
0.33
2.25 .
2.42
23
9.88
3.13
4.61
540
4.60
31.50
31.90
24
8.70
3.13
5.47
60
0.33
2.25
2.42
25
6.08
2.10
5.58
600
13.30
56.60
68.30
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Report No. Va.-495 Page No. 14
4.2.3 The Eigen values and Eigen Vectors for the system were
calculated to determine the system natural frequ_ncies
and mode shapes. The mathenatical model for the pneunatic
isolation is shown in Figure 1I.
FIGURE 11
?
Because of the complex nature of the mathematical model, the
Eigen values and Eigen vectors are computed for the two ex-
treme cases that is .1,.rith zero damping (c=0) and with infinite
damping (c=t0), with the actual natural frequencies falling
between these two extremes as can be seen from the transmissi-
bility plots for the response of the system C.G The computer
printout is listed in Appendix IV.
4.3 Torsional Mode of Base
The base is constructed of a rectangular box structure in the shape
. Of a "U" (see Figure 12), with the greatest portion of the total weight
of sterO comparator being supported on the arms. The torsional natural
frequency of the base frame will effect the isolation efficiency of the
isolation system, if its natural frequency is close to that of the
isolation system. Therefore, the torsional natural, requeney is deter-
mined as follows:
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
.
Report No. WD-495 15 STAT
4,n
LA
r7.
'
4.3 Torsional Mode of Base,(continued)
Calculation of Torsiional Natural Frequency
Cross Section
of Center Section
Figure 12a Figure 12b
Stiffness of Center Section in Torsion is:
= GA
47-72ir
G = Shear Modulus (steel G = 11 x 106 psi)
A = Cross Section Area
I = Polar Morrent of Inertia
= bh (h2 + b2 - (b-2) (h-2) (h-2)2 - (b-2)2
12 12
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Report No. WD-495 Nape No. 16
STAT
4.3 'Torsional Mode of Base (continued)
I = 12,376 in4
A = bh - (b-2)(h-2)
A = 84 in2
GAL,
4x2ZI
Xt = 50,694,000 lb-in/rad
=. 1
2i1
Kt
Assume the weight acts at a distance y on the arm of frame
>
o
VV /
....? ...e
'.' Y ?,,' .
.
. .
- .
, .
.
fn = 1 Kt
2 11
\
f = 9.8 Hz
y = 21.28"
W = 11,'465 lbs
I = uT2 = 13,449 in-lb-sec2
Torsional Natural Frequency of Base
The .above resonant frequency is well above the natural. frequencies
of the isolation system. In fact, from the transmissibility plots
for the system response, the 'system is at least 95% isolated at 10
Hz. Hlherefore, the torsional tode of the base frame should not
effect the .performance of the isolation system.
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r-1 Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Rcpert. No. WD-495 Pe No. 17
APPENDIX I
STAT
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7
. 1 Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-TAT
:31..00K 9:07 LA MON 12/18/67
?25
?
?
6.10,
?
9.7,
?
12.0,
?
4.7,
7.
1.5, .75, 2.5, 4?58, .75?9.7, 4.58, .75, 2.5, 3.1,
3?3, 2.4, 0.17, 2.3, 2.6, 0.17, 3.3, 4.03, 0.17, 4.3, 2.6,
2?3, 2.6, 12.0, 3.3, 4.03, 12?0, 4?3J? 2?6, 4.75, 2.?3.,
2..7, 3.8, 7.75, 2.3, 2.4, 7.67, 2.7, 3.8, 6.1, 1.5, 3.58,
? 2?7, 3?31, 3?48, 9.46, 3.31, 3.48, 2.96, 3.3, 3?85, 9.2, 3.3, 2?85,
? 2.29, 3?13, 4.61, 1.14, 3?13, 5.47, 9.88, 3.13, 4.61, 8.7, 3.13, 5.47,
? 6.08, 2.1, 5.58,
? 2.5
?0
? 0
?.0
? 3100, 98.6? 863, 882.4, 1210, 57, 38.5, 65, 1210, 57, 38.5, 65,
? 6400, 757.2, 328.9, 1027.2., 6400? 757.2, 328?9, 1027.2, 272., 3?1, 2?5,
? 0.83, 403, 10.2., 0.95, 9.5, 272? 3.1, 2.5, 0.83, 2.72, 3?1, 2.5, 0.83,
? 403, 10.2, 0.95, 9.5, 272, 3.1, 0.83,200, 1.5, 0.98? 0.58, 575,?
? 7.9, 3.3, 5.4, 200, 1.5, 0.98, 0.58, '575, 7.9.. 3.3, 5.4, 780, 37.8,
? 37.8, 12?1, 3001 19.4, 7.8, 27.2, 300, 19.4, 7.8, 27.2., 700, 45?7,
? 7.5, 52.8, 700,45.7, 7.5, 52.8, 540, 4.6, 31.5, 31.9, 60, 0.33, 2.25,
? 2.42, 540? 4.6, 31.5, 31.9, 60, 0.33, 2.25, 2.24, 600, 13.3,?56.6? 68
WE: IGHT (LAS.)
26344.00
CENTER OF GRAVITY(FT.)
X Y 7
6.10 3.08 2.49
MOMENTS AND PRODUCTS OF INERT IA(FT . . -SEC .S0 ?)
X
.36619E+04 ?12412E+05 .13438E+05
YZ X7 XY
-.23751E+02 -.13706E+02. -?296 7:3E+01
RADIUS OF GYRATIONCET.)
X
2.116 3.895 4.053
e Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
IDeclassified in Part - Sanitized Copy Approved for Release 2012/08/29 : CIA-RDP79B00873A001300010007-3
Report No. WD-495
APPENDIX II
Page No. 19
STAT
?
1 I Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Fla
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710
.7
Report No. WD-4 9 5
LM02 10:31 LA THU 12/21/67
IN LIN61YS
N .FIST
IN ARCTAcg
?
? 3,10 .25,.50,.75,10???0,1 .25,1 .50,1.75,2 .0,2.15,2 .30,
Page No. 20
MAGNITUDE OF INPUTS
FORCE=1 LB. FLOOR TRANSLATION=1 IN, FLOOR ROTAT I ON=1 RADIAN
OUTPUT UNITS
X,Y,Z--IN. ; ALPHA,BETA.;GAMMA-fRADEANS PHASE--DEGREFS
or
FREQUENCY
CPS
.250
.500
?750
1.O00
1 .2250
1.500
1 .750
2 .000
2 .150
2 .300
X
MAGNITUDE_
f.1119E +01
PHASE
- .53
.171-1E+01
-7 .45
I .3139E+01 ?
-72 .54
?1350f:+01
-110.61
.9216E+00
-125.18
.6420E+00
-1/42.31
?42445+00
-152.62
, .2.946E+00
-156-.99
.2438E+00
-153.15
?20556+00
-158.72
FREQUENCY
? CPS
.250
?500
?750
ALPHA.
MAGNITUDE PHASE
.2112E-07 -57.53
.15276-05 171 .85
.6919E-05 -38.65
1 .000
.7220E-05
-149 .68
1 .250
?1045E-04
135 .28
1 .500
.1221E-04
61 .84
1 -750
.9541E-05
-3.81
2 .000
.56956-05
-47 .77
2 .150
.4172E-05
-64 .43
2.300
.3147E-05
-76 .50
?k.)P?..?"7
PHASE
122.34
-9.53
131 .25
FREQUENCY
CPS
.250
.500
.750
X
MAGNITUDE
.7052E-06
.6774E-04
.6638E-03
1 .000
.8995E-03
-117.19
? 1.250
.3529E-03
151 .69
1 .500
.216 RE-03
76.58
1 .750
.1088E-03
11 .09
2.000
.4611E-04
--32.13
2.150
.2836E-04
.22
2.300
.1828E-04
.59 .66
?
-
MAGNITUDE
PHASE
MAGNITUDE
PHASE
.7052E-06
122.3/4
.9.242E-07
116 .65
.677/45-04
-9.53
.1763E-05
-22.26
.6638E-03
131 .25
?89185-05
113.99
.8995E-03
-117.19
.9764E-05
-17.27
.35295-03
151 ?.9
?12616-04
-114.35
.21696-03
76..58
.1167E-04
155.91
.1088E-03
11 .09
?71066.-05
80.21
.46116,0/i
-2.13
.3399E-115
30 .32
.2836E-04
-48 .22
.2216 5-.05
11.19
.1828E-04
-59.66
.1504E-05
-2.84
BETA
MAGNITUDE PHASE
GAMMA
MAGNITUDE PHASE
.10455-02
--12.35
.17716-03
176 .99
.70026-02
-35.0%
.14376-02
166 .52
.3214E-01
-122.41
.1287E-01
90.40
.2423E-01
16 9 .74
.1225E-01
-97 .01
.2003E-01
124 .43
?36116-02
-119.31
.1395E-01
87.34
.1909E-02
-140.53
.88236-02
6 4 .77
.10986-02
-153.11
.5854E-02
52 .47
.70136-03
-159.11
.4729E-02
47.80
.55986-03
-161 .07
.3904E-02
44.36
.4584E-03.
-162 .36
MAGNITUDE
.1241E+01
.2792E+01.
.7337E+00 ?
.4129E+00
.446 5E+00'
.556 55+00
?53846+00
.39005+00
L.3138E+00
.2 56 1 E +0 0 .
PHASE:
MAGNITUDE
PHASE
-2.01
-53.84
.5173E-02
.5801E-01
-20 .37
-97 .33
-109 .6 3
.44496-01
165 .16
-98 .19
.4174E-01
127.11
-76 .03
.4163E-01
87 .84
-97 .42
0830E-01
44.09
-114 .94
.270/45-01
-2.54
--135.87
.1493E-01
-35.25
-142.83
?10446-01
47.27
-147.16
.75156-02
-55.69
?
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
STAT
?
?
MN
?
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
FREqUENCY
CPS .
.250
.500
.750
1 .000
1 .250
1 .5.00
1 .750
2 .000
2 .150
2 .300
-4. 4.1
ALPHA
MAGNITUDE PHASF,
.4878E-02 165.53
.5026E-01
.1453E-01
.3087E -01
.3449E-01
.4007E-01
.36 31E-01
.2502E-01
.1966E-01
.1572E-01
FREOUENCY
CPS
.250
.500
.750
1 .000
1 .250
1 .500
No 1.750
2 .000'
2.150
2.300
#
mi?
EREDUENCY
CPS
.250
.500
.750
1 .000
1 .250
1 .500
1 .750
2.000
2 .150
2 .300
MAGNITUDE
.22/41E-07
.1763F-05
?8918E-05
.9764E-05
?1261E-04
.1167E-04
.71-06E-05
.3399E-05
.2216E-05
?1504E -05
96 .78
.12 .62
-5 .30
7-22 .52
-49 .88
-86.56
-113.33
-122 .89
-129.35
PHASE
116.65
-2.2 .26
113.88
-17 .27
-114.35
155.81
SO .21
30 .32
11.19
-2 .84
ALPHA
MAGNITUDE PHASE
.1549E-03 159.77
?1308E-02
.4638E*03
.3350E-03
.1233E-02
.2157E -02
.2371E-02
.1844E-02
'.1536E-02
.1294E-02
8/4.05
-4 .74
94.63
71 .44
29.35
-17 .44
-50 .89
-S3 .48
-72 .53
F. T A
MAGNI THDP' PHASE
.7776.-07 152.87
? .3428E-05
.6579E-05
.1541E-04
.4903E-05
.1235E-04
. .1254F-04
?8518E -05
?6559E-05
?5138E-05
MAONIT t_104":
?5173E-02
.5801E-01
.4449E-01
.4174E ,01
.416 3E-01
.3830E701
.2704E-01
.1493E-01
?1044E -01
.7515E-02
6 4 .5 8
27.22
-16,4 .6
-1?/4 .?1
-162 .43
141 .09
102.20
87 .68
? 77.3/4
PHASE
-20 .37
-97 .33
165 ?16
127.11
87 .84
44.09
-2.54
-35 .25
-47 .27
-55.69
BETA
MAGNITUDE
.2470E-08
.8921E-07
.8837E-07
? ?1675E-06
.1752E-06
.66 46E-06
?8185E-06
.6278E-06
? .5124E-06
.4228E-06
PHASE
147.12
51.95
9.87
-64.75
-30 .24
-83 .20
-149.79
16.4 .6 5
147 .09
134 .16
67,4mmA P.21
mAGNI it PHASE
1.45E-06 163.%1
.2273E -04 92.32
.7779E-04 -4.36
?1547E-03 -156.86
.7392E-0/4 165.85
.5401E-04 134.99
.5029E-04 97.12
.3193E-04 69.70
.2426E-04 59.87
.1890E-04 53.19
mAGNITIADF.
.1057E+01
.1226E+01
?1482E+01
.1679E+01
! .1592E+01
I ? 131/4E+01
.1049E+01
.8484E+00
..7550E+00
L__7 6.7.7 0 F.: +pp."
PHASE
- .6 7
-5.27
-17.09
-37 .76
-6 1.74
-80 .79
-93.60
-102.40
-106 .49
-109.95
GAMMA
MAGNITUDE PHAsE
.1316E-07
.5916E-06
.1045E...05
.16 79E-05
.2638E-05
.3446E-05
.3283E-05
.2354E-05
.1895E-0 5
?1555E-05
158.05
7-59
-2.1 .72
-56 .93
-100.0
-145.78
166 .24
132 .15
1,19.28
110.01
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
41.4 44.44,444.7...444..4 '4,44" .4 4
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
BLmn2 14:34
IN? LI NEOS
IN IRST
IN ARCTAS
LA WED 12/20/67
= 4 Z. et- -7 P'-?
41'+7 er,?
4 -
? 3?10 /2 .5,3,5,5 .5.8,10 .015,20/2500
?
7
Page 22
MAGNITUDE CF" INPUTS
F ORCE=1 LB. FLOOR TRANSLATION=1 IN. FLOOR ROTATION=1 RADIAN
OUTPUT UNITS
X .?Y.. Z-- I N. ; ALPHA 'F3E:TA .GAMMA-RAD I ANS
X
NP 1.
CF'S
2 .500
3 .000
5 .000
5 .500
8 .000
10 .000
15.000
20 .000
25 .000
30 .000
FREQUENCY
CPS
2.500
3 .000
5 .000
5.500
6.000
10 .000
15 .000
20 .000
25 .000
30 .000
x
? "AA t'..N e .-rk
r?sic.
X
MAGNITUDE
?1677E+00
..1104F.+00
.3916E-01
.3287E-01
?1733E -01
?1229E. -01
.70/45E..02
.4952E-02
.3833E-02
_
.3135E-021_
PHASE
-158 .69
-157 .69
-1/49.49
-1-47 .33
-137 .69
-131 .52
-120.72
-1 14.08
-109.69
-106 .61
ALPHA
MAGNITUDE PHASE
?2267E-05 -88.02
.1201E-05
.3074E-06
.2501E-06
?1244E-06
.8807E-07
.5152E -07
?3683E -07
.2881E-07
.2371E-07
-104.65
-120.54
-120 .73
-117.32
-113.75
-107 .16
-103 .22
7100.71
-98.961
; PHASE-DEGREES
L2.m.
CA 0?-; cb. '__t'
Y
MAGNITUDE,
PHASE
1/4.7
MAGNITUDE
t...rA4-X
PHASE
.1090E-04
-70 .28
.9555E-06.
? ?'16 .48
0693E-05
-64 .50
.3907E-06
-37.21
.3656 E -06
-90 .67
.5046E-07
-66 .04
? .2503E-06
,-?36 .60
?3591E-07
76 9 .09
.66 10E-07
-75.33
.1010E-07
-77 .26
.3327E-07
-65.51
.4919E-08
-80 .21
.1118E-07
-48 .04
.1388E-08
-83 .67
?56 20E-08
-37.41
.5759E709
-85 .28
.3404E -OF
-30 .49
.2927E-09
-86 .23
.2.292E-06
-25 .6 7
.16 87E-09
-86 .86
? BETA
MAGNITUD4E
.3108E-02
PHASE
41.07
GAMMA
MAGNITUDE PHASE
.3626 E-03 -163.41
.1950E-02
36 .57
?2258E -03
-164.28
.5 258E-03
35 .83
.7127E-04
-161.20
.5174E -03
37 .00
.550E-04 ?
-160 .01
.26 05E-03
44 .08
.2796 E-04
-153.79
.1812E-03
49.47
?1853E-014
-148 .98
?1016 E -03
59 .5 0
.9308E-05
-138.58
.7077E-04
65 .06
?6011E-05
-110.59
.5455E-04
70.38
.4409E.-'05
-124 .52
.4451E-04
73 .43
.3481E-05
-119.87
%.4 t,) C*OT
kj c, ?47:) . 0 I."
1,-Attl=t4-91-1.
FREQUENCY
CPS
2 .500
3.000
5 .000
5.500
8.000
10.000
15 .000
20 .000
25.000
3,0 .000
X
MAGNITUDE
.1090E-04
*3893E-05
.3656E-06
.2503E-06
.6610E-07
.3327E-07
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
? ? ? _??? ????? ? ? ?14?4?... ? ...1.?? t? ?
FR F. n I NCY Al_1' H A
CPS
2 .500
3.noo
5 .000
5.500
9 .000
10 .000
15 .000
20 .000
25.000
30 .000
MAGNITUDE PHASE
.1207-01 -135.01
.7144E-02
.21 50E-02
.1770E-02
.8844E-03
.6146E-03
.3442E-03
.2398E-03
.1849E-03
.1508E-03
FREQUENCY
CPS
? 2.500
3 .000
5..000
5.500
. 8.000
10.000
15 .000.
20 .000
25.000
30 .000
MAGNITUDE
.9555E-06
.3907E-06
.5046E-07
0591E-07
.1010E-07
.4919E-08
.1388E-08
.5759E-09
.2927E-09
?1687E -09
-141.91
.-143.72
-142.57
-135 .49
*-130 .13
-120.09
-113.69
-109 .41
-106 .4a
RETA
MAGNITUDE
.3941E-05
.2155E-05
.5800E-06.
.4701E-06
.2237E-06.
.1523E '?06
.8337E-07
.5757E-07
.4418E-07
.3596E-07
PHASE
-16..48
-3721
-66.04
-69.09
-77 .26
-80.21
-*.83 .67
-85 .28
-96.23
-86 .86
MAGNI T UDE
.5099E-02
?2325E -02
.3529E-03
.2542E-03
.7179E-04
.3433E-04
.9272E-05
.3750E.-05
.1878E-05'
.1073E-05
G,AMMA P.23
PHASE MAGNIT0JDE ? PHASE
67.65 ,1412E-04
54.07 .7996E-05 39.93
/0..06 .0.265F..-05 37.33
42.14 .1854E-05 18.39
46.50 .9131E-06 -45.16
51.03 .6317E-06 50,39
60.34 .1521E-06 60.25
66.5a .2450E-06- 66.57
70.72, ?.1887E-06 70.79
73.69 .1539E-06 73.77
PHASE
-63.47
-74.47
4-89023
7.90.92
+95.43
-96.61
-95.75
-94.94
-94.28
MAGNITUDE
.5917E+00
.4410E+00
.1898E+00
..1611E+00
.8236E701
.5432E-01
.2495E701
.1421E01
.9145E-02
126371E-02
PHASE
-113.99
-121.55
-139.36
-142?29
-152.45
-157 .Z,16
-164 .6 0
-16 8.35
-170 .6 4
-172.18
FREOUENCY
ALPHA
RETA
GAMMA
CPS
MAGNITUDE PHASE
MAGNITUDE
PHASE
MAGNITUDE PHASE
2 .500
.105%E-02
-81.21
.3369E-06
121 .45
.1238E-05 101.08
3 .000
.7171E-03
-94 .62
.2163E-06
101.37
.8026E-06. 87.23
5 .000
.2967E-03
-119.10
?8004E -07
66 .68
.3126E-06 61.96
5.500
.2540E-03
-123.05
.6743E-07
6 1 -.(1 5
.2660E-06 57.90
8 .000
?1351E -03
-137 .42
.3416E-07
44.57
.1195E.-06 43.23
10.000
.9089E-04
-144 .83
.2253E-07
36 .33
.9341E-07 35 .6 9
15 .000
.4275E-04
-155 .73
?1036E-07
24.70
.4374E-07 24 .62
20 .000
.2458E-04
-161 .56
.5900E-08
18.66
.2511E-07 18.70:
25 .000
.1589E704
-16 5 .16
.3799E...08
14.98
?1623E -07 15.05
30 .000
'1110E-04
-167.59
.2647E-08
12.50
? 1133E-07 12.58
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Report No. WD- 4 9 5
APPENDIX III
Page No. 24
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
?
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29 : CIA-RDP79B00873A001300010007-3
IN
IN
IN
IN
M 3 14:56 LA WED 12/27/67
LI NE2S
.F IRST
A7-ZCTAS
IRST .
Page 25
? 6 .10/3 .08,2 .49,10, ,1 .25,1 .5,1.75,2 .0?2 .15,2 .3
? 3,6,2 .96,3.54,4 ?13?1?111,1?2 .96 03.54,4 ?13,2,1?1?1?2 .96,3.54,4 .13,3
? .2?,3 .54,4 .13,1,1..1 ?1?9 .2 ?3 ?54 ?4 ?13?2 ?1 ?1 ?1?9 .2,3 .54 ?13?3?1?1
'POINT
NO.
T x
FREQUENCY
?25
.50
.75
1 .00
k
DISPLACEMENT,
og.)
?
.11367E+01
.1826 3E+01
?35096E+01
.15545E+01
?
1.25
..98412F.+00
1.50
.51870E+0Q
1 .75
.3.1098E+00
? 2.00
.0.06 19F+00
? 2.15
.1620E+00
2.30
1.
.1'065F.+00
FREQUENCY
.25
5LSPLACEMENT
.43846 E-05
?
?f?-?":te....==2
`-1
PUT
. .50
.19719E-0'3
.75
.53625E-03
1.00
.19225E-02
.
1 .25
.78275E-03
1 .50
.57966 E -03
1 .75
.466 84E-03
2.00
.31145F.-03
2.15
.2156E-03
2.30
.19107E-03
FREQUENCY
? DISPLACEMF.NT Cy.)
.25
.13930E-06
?.50
.51315E-05
.75
.72040E-05
1 .00
.2086 8E-04
1 .25
.279.75E-04
?50
.31203F-04.
1 .75
.30'/;E-0
. 2.00
.22956 E -04
- 2.15
.18870E-04
? 2.30
.15725E-04
POINT
NO.
Fa T
-???????
FREQ(JENCY DISPLACEMENT (3)
.25 .6671-02
.50 .54161E-01
.75 .48452E+00
1 .00 .46 06 8E+00
1.25 ?136 10E+00
1 .50 .72308E-01
1.75 .41646 E -01
2.00 ?26'493E-01
2.15 .21112E-01
2.30..17273E-01
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
11!
- -
I Declassified in Part - Sanitized Copy Approved for Release 2012/08/29 CIA-RDP79B00873A001300010007-3
"----- -- _L-...L.-... -- )n. ;s. , ; i? 01:_;,,L,0:,,:,,,!%cti- -I)
:
? I
IL) P LA'
.25
,50
.75
l'.00
cill
1.25
1.S()
1.75
2.00
2.15
117
.6R210+oo 7 1------.14-47-4-61-
Page 26
.19909E+01
.77R55'+00
.10122E+01
.12781E+01
.12174E+01
.966 94E+00 ,
.69103E+00,
2.30 1 - '5,79.5_1 c.;+" '.....
A R E 0 U E NC Y
DISPLACEMENT (`O
.25
.50
.75
1 .00
.21249E-02
.12309E-01
.35594E-01
.47499E-01
1.25
.65361E-01
1.50
.90214E-01
1 .75
.73253E-01
2.00
.50924E-01
2.15
.40421E-01
2.30
.32790E-01
POI NT NO. PI' 113,-. 0 to,,, ?
FREQUENCY 'DISPLACEMENT (.1k
t.af" LrI
+:*41115,01,7-1
ler"'""baPt"
.25
.50
.39370E-0A
396 E+00
.75
.12110E+01.
1 .00,
.91294E+00 .
1 .25
.75471E+00
1 .50
.52573E+00
1 .75
.33244E+00
2.00.
.22059E+00
? 2.15
.17821E+00
2.30
.14710E+00
FREQUENCY
DI SP LAC E ME NT (,?)
.25
.2 1796F -01
.50
.22149E+00
.75
.15224E+00'
1.00
.1/4611E+00
1.25
.18028E+00
1 .50
.22211E+00
1 .75
.20539E+00
2.00
.14224E+00
2.15
.11179E+00
2.30
.99379E -01
FREQUENCY
DISPLACEMENT c?)
.25 .1 559E+01
.50 .12258E+01
.75 .14847E+01
1.00 .16776E+01
1 .25 .15972E+01
1.50 .13096 E +01
1.75 .10517E+01
2.00 .85479E+00
2.15 .76120E+00
2.30 ' .6 9269E+00
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
I RI s ? 4. .
FF-(IJNrY
1.!:, LAC M:7. NT C.>4
47(5-1-
) ? Page 27
?>?, .PLiT ?25
. .1826 3E+01.
.75
?35096E+01
1.00
.15545E+01,
1 .25
1.88412F.:+00
.50
1 ?51870E+00
.1
.1 .'75
.31098E+00
? ?00
.2.06 1 E +00
?15
?16 8,2.0E+00
9.3Q j, ? 1406 5E +Op
.F RE QUE. N(, Y DLAC.EME NT Ly..)
?25
?43846E-05
.50
?1971.9E
.75
.53625:-01
1 .00
.1925E-O2
1 .25
.78275E -03
1 .50
.57966E-03
1 .75
.466 84E -03
2.00 .31145F: -03
2.15 ?24156 E. -03
2.30 .19107E-03
C - FREQUENCY D I SPLAr,EMENT 06)
tip '.S ?25 .13930E-06
.50 .51316 E -05
.75 ?72040E -05
1 .00 ?2086 8E-04
1 .25 .27975E -NI
1..50 ?3120 3E-04
? 1 .75 ?10484F:1-04
2.00 .22956 F. -04
2.15 .18870E-04
2.3O .15725E '04
POINT NO. !4, N=?"1"
)C %\..) P
CI% ONt
FREQUENCY D I SPLAr.EMENT (,?-1)
.25 .65868-O2
.50 ? ?53416E-01
.75 ?47917E.+00
1??00 ?45649E.+00
1 .25 ?1342.7E+00
1 .50 .70602.F-01
1.75 .40586.E-01
2.00 ?26020E-.01
2.15 ?20S03E-.01
2 ?3n, ? 7,Q5,4F: -n
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Y
0 1
`Is
N
? !-;
?50
. 1 1 t; 7 Li + 1 -7
.19896E401
Page 28
.75
?c, F59 -4-nn
1 .00
.7721E. +00
1 .25
.10079r..+fl
.50
.12736E+01
1 .75
.12133E+01
2 .00 ?85 451E.+00
2 ,15 .6`8925E +00
rotlAitr*PRA..rsa41.4
vt,) c) Lst
2.0
FREQUE.NCY
.25
.50
.75
1.00
1 .25
1.50
1 .75
2,00
2.15.
2.30
.55811F-1.00
I SP LAC E ME NT C.,?4)
.2127F-02?
.3226 5E701'
.35506E -01..
.7372F-01
? .6 516 3E-01
.79957E-01
;73007E-01
?50748E.-01
.40279E-01
? 32.674E -01
r 0 I NT
NO.
FREQUENCY
?
13I SP. LAC E ME NT (.'t
?to=r:-..====1-.
X
t P
?25
'.3R86 9E-01
?50
.26048E+00
.75
?11956E +01
1 .00
.90125E+00
1 ..2.5
.74520174.00
1 .50
.51916E+00
1 .75
.32826,1.7+00
2.00
?21778E+00
2.15
.17592F+00
2,30
?14521E +00
FREQUENCY
DI SPLACEMENT
?4 11..)por
g=ggEv=-?3
?pitst
.25 .21791E-01
.50 .22.170E+00
?75 .15271E+00.
1 .00 ?14497E +00
1.25 ?.18013E+00
1 .50 ?22162E+00
1 .75 .20467E+00
2.00 .1416 8E+00
2.15 .0.1134E+00
2.30 .89022E701
.FREQUENCY DISPLACEMENT
.25
.50 .
.75
.10559E.+01
.12258E+01
.14847E+01
1 .00
.16777E+01
1 .25 ?
? 15872E +01
1.50.
?13097E+01
1 .75
.1051RE+01
2.00
?85.478F+00
2.15.
? .76 119E+00
2.30
.69266 f: +00
(.;.)
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
tam
.
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
1 1 :40 LA WED 12/27/67
IN LINO
IN ..FIRST
IN ARCTAS
/N IRST
' Page 29
? 6 ?10 .49,10A2 ?5s3?5/5 ?5,8?10 /15.20,25,30,
7 3..6 s2 .96 /3 .54/4 ?13,1..1..1,1 12 ?96 .13 .54 1 /4 ? 13,2 /1,1,1 s2.?96 s3?54,4
113
? 1 )1'.ol '9.2,3 .54,4.13,1,1 ?54..4 ?13,241 AI .2?3 ?54,4 ?13
P I NT N? PT A's
41.4 PUT
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0-0R3T=m=N
?ie IwpLiv
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FREQUENCY
2.50
? 3 .00
.5.00
5.50 '
8 .00
10.00
15 .00
20 .00
25.10
30 .00
FREQUENCY
2.50
3.00
5 .00
5.50
8.00
10.00
15 .00
20 .00
25.00
30 .00
Etzati=:11460===a .FREQUENCY
2.50
3 .00
5 .00
?5 .50
8 .00
10 .00
15 .00
20 .00
2 5 .00
30 .00
PO/ NT NO'. ;e PT
X 1VJ
DISPLACEMENT ()1
.11416E+00
.75084E -01
.27333E ..01
.23051E+01
.12358E-01
:88262E-02
.50948E-02
.35909E-02
?27832E-02
DISPLACEMENT (x`1,
.14477E-03
? .83373E-04
.2366Q-o4
.19319E-04
?94074E-os
.64701E-05
.35811E-05
.24839E-05
.19105E-05
.15570E-05
DISPLACEMENT (x)
..126 91E-04
.836 84E-05
?32654E-05
.27715E-05
?14369E-05
.956 79E -06
.44480E-06
,25456 E -06
.16428E-06
.11460E-06
Q-'-c! 'O
FREQUENCY
2.50
3:00
5 .00
5.50
8 .00
10.00
15 .00
20.00
25.00
DISPLACEMENT
? 136 54E-01
.8495 4E-0?
.26 806E-02
.22002E -02
.10517E-02
.696 72E-03
?34985E-03
.22586E-03
.1656 1E-03
30 .0? ?13072E-03
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
C?i)
Declassified in Part- Sanitized Copy Approved for Release 2012/08/29 : CIA-RDP79B00873A001300010007-3
mg. ??????????.. ? A.,
0
0
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?-?:r)?
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FRF0;1NcY
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? 7.0n5'.-_-0 1 i
? 9 /I
.04907-7.-n2H
.74237.;7.-0?
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2.50
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3 .00
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5.00
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5.50
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2 .00
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15 .00
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20 .00
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P 0 I NT
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D I S,D LACF.i.IF NT (3.)
X k
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2.50
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3.00
.73424E-01
5.00
?23521F-01
5.50
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10.00
.6 R299,17-0.2..
15.00
20.00
.264)6 7F .02??
25.00
.2.055'F:-02
30.00
. .16 772F-702
FREOUF:NCY
D I SP LAC:T-7MR. NT (Al
2.50
.6 856 5E-01
3.00
5.00
.12099F:-01
5.50
.99/195F -!02
Fi .00
./49/1c6 ;7. -02 ?
t..) Po`r
10.00 .34230E-02
15.00 .19115F:-02
20.00 ?13295F-02
25.00 .102.39E702
30.00 .23'49%F:-03
FREQUENCY 01 SP [ACP:MP:NT
2.50 ?59662E+00
3.00 ?44459'7.+00
5.00 .19134E+00
5.50: ?16239F.:t00
.00 .R30$30;7:;-01
10.00 .5421.5F -01
15.00
20.00 .) /43/41F -0.1
25.00 ?92326E-02
30.00 4323F-02
o
_
Page 30
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
.
R R r.); Y
?`?:,0 ?11/11.5 p.4-a()
:3.00 ?750;,:/.0.--.....01 :
5.o0 .2.7322E-01 i
5.50 .22051E-01 !
`,-;; ?00 .12715p;::-011
10.00 ?%--:5:2,2.62',:-0.---'. :
15 .00 .9/!:; -0? ;
20.00
25.00 .27 -...,32.E.. -02. :
30..00 , ?22.77 :T--'. -02 '
-_
FREQUENCY DISP Lc\ F. ME NT
2.50 ? 14477E. -03
3..00 .%-33372E.
5.00 .2364, 04T -04
5.50 .19319P-I)';
?00 ?94074F: -05
10.00 ..6/C701F.-05
15.00
?? 20.00
25.00 ?19.',105E -05
30.00 .1. 557.0F.: -0 5
FREOU ENCY DIS? 1_. P-.5.1.;7: c..)t
2.50 .126 91E-0
t 1-) PrLIT
?
3.00 .924,Fv1E.-05
5-.00 .326 5 1?'E. -05
5.50 .?771S-05 ?
s .00 .1436 9E.--05
10.00 . 956 7. 9 F.: -06, ?
15.00
20.00 .25456 F.-06
25.00 ?16 /42RF. -06
30.00 .1146 0E-06
POINT NO
F R E Of.1ENCY DI SPLACFMF,NT(y)
X tV.)PLT7 2.50 .13501.E-01
3.00 .R.4133E-02
5.00 ?26 55RE -02
5.50 .2.1799E-02
F.00 0422E-02
10.00 .6 9066 E. -03
15.00 .3/711F-03
20.00 ?22.427E -03
25.00 .16/153E-03
30.00 .12992E_ -03
R E.011F.: NC Y DI SD LACE .")F.. NT (-1)
?
.1 1:"J-1"
2 .-.50
.43431E+00
3.00
.26319E+00
5.00
.R2R2RE. -01
5.50
F.00
.34937E-01
10.00
.2/1471E-70.1
15.00
.13F31F.:701
20.00
.96723E-',02
25..00
.746.92-F. -02.,1
30 .00
ons-02
???????.,
Page 31
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Declassified in Part - Sanitized Copy Approved for Release 2012/08/29 : CIA-RDP79B00873A001300010007-3
':?'1,:?,:??1
.0. "A 74 -01 Page 32
.no ? 11) 0 -() 1 ?
POINT NO. "6 ?PN
1 Is) P?.?"-%
5.-00 .61169F -02.
5.5 n ? 5 ? 5 /1
8.00
10.00
15.0C)
20.00
2.5 .0 r)
30.00
A," DOL?C-c..--"r \ Oz? ?
DISPLAC
.11562.E.+00
..2.32.7F.;F -01
.192.45F -701
.96 38/0;7.-09:
.6741 R -09.?
.37779F-02
.26:12%0:: -02
.20291E-02
.16554E -02
D I LAC F.Mi-T. NT (.)
.68292E -01
.40304E -01'
.12_055F.-01
.991/44F. -02
?zi 9289F. -02
.3/415E-02.
.19052E-02
.119.52E-0?
.109.06F-02
.83228F-03
isp1A1,P:m7NT (..?t)
.59660E+00 ?
.441458E+00
.19135F. +00
.162:19E+00
.83077E -0.1
.5481-3E-01
.25181E-01
.14341E-01
.92323E-021
.64321E-021
FREOIF.for,'Y
2.50
:3-00
5.00.
5.50
g.00
10.00
15.00
20.00.
25.00-
? ? 30.00
.FREOUF.NCY
2.50
3.00'
5,00
5.50
8.00
10.00
-15.00
20.00
25.00
30.00
FREnUFNCY
2.50
3-00
5.00
5.50
0.00
10.00
15.00
20.00
25.00
30.00
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
ReporL WD-4U5 Page No. 33
APPENDIX IV
STAT
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29 : CIA-RDP79B00873A001300010007-3
9:3R LA THE. 12/26/67
IN sPEIGT.
IN .F1RsT
IN EIG1X.;
? 26344,3661 ?9,12412 ,11438?10,3
THE UNDAMPED NATURAL FREOUENCIEs AR .E CALCHLATED AsSIIMING
PRODUCTS OF INERTIA ARE ZERO, HORIZONTAL%0AMDING
RATIO IS ZERO, AND VERTICAL DAMPING RATIO IS ZERO(CASE A)
AND INFINITE(CASE 8)
CASE. A
MODE
3
Page 34
6
FREO(CPS) .687
.50/4
1.05?
1.603
1.296
? 90 7,
EIGEN VECTORS
X
.295E-01
.000E+00
.000E+00
.000E+00
-.187E-01
.144E-02
.000E+00
.304E-01
-.125E702
.172E-01
.000E+00
.000E+00
.000 :+00
.907E-03
.349E-01
.934F-03
.000E+00
.000E+00
ALPHA
. .000E+00
-.815F-02
7.173E-03
.144E-01
.000E+00
.000E+00
RETA
GAMMA
.471F:702
-.938E-03
.000E+00
.000E+00
.000E+00
.000E+00
.000E+00
.000E+00
.754E-0?
-.126E-07,
.125E-02
.854E-02
CASE E3
mo0E
FRED(CPS) .843
EIGEN VECTORS
.292F?01
.000E+00
:000E+00
AL0HA .000E+00
;MIA .805E-03
GAmmA .466E-02 '
?7R 1
.000E+00
.342F-01
.356E-03
-.338E-0?
.000E+00
.000E+00
-3
2.439
.000E+00
.377E-02
.288E-01
.921E-0?
.000E+00
.000E+00
2.326
.000E00
.z,08E,-02
-.198E-01
.131E701
.000E+00
.000E+00
5
.000E+00
.000E+00
.000E+00
..892E-02
-.107F-03
6
?929
.187E-01
.000E+00
.000E+00
.000E+00
.650E-03
.726E-09.
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
,r]
LI
1=1
avrv.LovVv*Vms.vov
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Report No. VD- Li 9 5 STAT. ?
Page Jo.; 35
APPEZIX V
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29 : CIA-RDP79B00873A001300010007-3
? i-,00:vAz.o7.
CAO t?-0 'T 0 C.,-.
o kcm. P- ts.) 12. 0 k-fr X Ax 7.
.? = z
? 0 ? 0
X
fLIoJL)
0 0
1 to
f L LSK
ft I 13
( (W0
angle
-1 B + C
< 0
? 1T <
-Tr <
?
0
19
03
1
< Tr
?
<
?
tan
Angles
1
? (0 - 0
2 3
+ Tr if
- Tr if
) ?
1
1
?
1
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
1:=1
Lz:J
Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3
2 .4.7 From the formulae in 2.4.2 to 2.4.6 compute the derivatives:
aa 8a aa aa
DAY DB' ac' ap
am
aA
? ? ?
? ? ?
1. ???
api ?
In computing the above derivatives it will sometimes be, useful to employ
the following rules for differentiating ratios of functions.
(a) If F (x) = F1 (x)/F2 (x)
then F' (x) = [F (x)/F (x)] F (x) - [F (x)/F2 (x)] F (x)
(b) If F (x) = IF1 (x) /F2 (x)
then F' (x) = [F (x)/2F1 (x)] Fi (x) - [F (x)/F2 (x)] F (x)
2.4.8 Combine the results of 2.3 and 2.4.7 to obtain
aa aa 8A, Da DB
'7" ? ? ?
ax aA ax a B ax
aa _,aa
ay DA ay as ay
? am _DM aA +
ax aA ax
etc.
Both for the left optics train and for .the right optics train.
,20
E. Declassified in Part - Sanitized Copy Approved for Release 2012/08/29: CIA-RDP79B00873A001300010007-3