49 -
The standard deviation of a computed fictitious satellite position is less than ^ 0. 3 [A
which corresponds, with a focal length of 300 mm, to t 0. 2 seconds of arc. If combined with
the aforementioned standard deviation of the orientation at the center of the plate, which is a -
bout + 0. "3, the accuracy of the final direction to the satellite should be better than ± 0. "5.
Practical tests, based on multi-camera observations at the same station, indicate at present
an accuracy of t 0. M 7 or better. The slight degradation in the accuracy is caused by some in
sufficiently resolved bias errors. The mathematical model simulating the photogrammetric da
ta acquisition process is at present over-economized and must be somewhat relaxed by addi
tional sophistication in the simulation of the distortion model. More important, there still ex
ists a small but significant bias error in the coordinate measurements between star and satel
lite images. Automation of the image measuring process by electronic image sensing is expec
ted to be helpful.
From the results so far obtained, it appears justified to conclude that the photogram -
metric satellite triangulation method, especially if an optimized lens system with approximate
ly 450 mm focal length is considered, will give the direction to a satellite to within t 0. 4 to
+ 0. 5 seconds of arc. The fact that such a direction has an absolute meaning with respect to the
right ascension-declination system, allows the conclusion that such a result is promising if
compared with the accuracy of + 0. "2 to t 0. "3 which is today obtained in first order triangula
tion for a relative direction.
Closing this consideration of photogrammetric satellite triangulation, it can be predic
ted that this method will not only prove useful for a world-wide triangulation scheme, but will
eventually provide the necessary accuracy for increasing the geometric fidelity within indivi
dual geodetic datums.
Extensive numerical analysis on various possible schemes for the application of pho -
togrammetric satellite triangulation is presently in progress for the purpose of studying the
problem of error propagation and for establishing an optimized field operational procedure.
Some Aspects of Satellite-Borne Photogrammetry
Rather detailed information could be given for the application of photogrammetry in
connection with the tracking of satellites. A discussion of the application of photogrammetry
using satellite-borne photogrammetric data acquisition systems, however, must be conducted
in generalities and must be considered conjectural, because of the lack of actual raw data.
One of the basic problems to be considered is the use of satellite-borne photography
for establishing geodetic control, especially in support of the compilation of topographic maps.
The corresponding techniques are the same as those recently under development in computa -
tional photogrammetry for photogrammetric control extension. Continental reference nets es -
tablished by photogrammetric, stellar triangulation, as outlined before (compare flow diagram
on page 14), with an average distance between control points of about 300 km and a positional
accuracy of ^ 3 meters, are assumed to be existence. These stations are assumed to be mar
ked for photogrammetric recording.
Considering the lowest feasible height for a satellite orbit as 200 to 250 km, the trou
blesome problems of extended photogrammetric aerial triangulation are avoided, because the
coverage of a single photograph corresponds to the spacing of the control points. When trea
ting a few photographs which, in practice, must be combined, the error propagation is further
reduced by certain orbital constraints, two important ones being the consistency of the inclina
tion of the orbit and the smoothness of short orbital arcs.
Further geometrical information becomes available if the intervals between exposures
are measured with high accuracy (10 sec). The use of additional star or sun photography (as
important as the latter is for conventional strip and block triangulation) appears, under these
conditions, of questionable value, considering the unavoidable degradation in absolute accuracy
when the orientation of the stellar camera must be referenced to the camera taking the topo -