The principal analytical photogrammetric tools being employed
in the reduction of Apollo 15 photography and data are computer
programs LOSAT (Lunar Orbiter. Strip Analytical Triangulation) and
LOBAT (Lunar Orbiter Block Analytical Triangulation) developed by
DBA Systems, Inc. The programs treat position, velocity, time of
exposure, orientation angles and photographic point measurements
as observed quantities subject to a priori constraints and perform
a rigorous least squares adjustment of photographic strips and
blocks. Uniquely, they provide application of short arc, dynamical
constraints and confine exposure stations to lie on orbital arcs
defined by the equations of motion. Independent LOSAT solutions
are being developed for each of 14 orbital revolutions of the
vertical photography acquired by Apollo Mission 15. Individual
strips generally contain 145 photographs and alternate frames are,
being employed to develop a triangulation incorporating observations
from 850 terrain and companion stellar photographs. It is planned
that 17 sub-block solutions will be performed for data edit and
that upon evaluation and resolution of inter-orbit differences,
selected photo strip segments (containing 300-500 photographs) will
be combined in a single block solution. The parameters of this
solution will provide the basis for computation of a consistent
control point network covering 10Z of the lunar surface with a
density of 1 point per 900 square kilometers.
Triangulation testing of the seven exposure segments of the
three test strips has allowed a limited evaluation of the compat-
ibility of position, orientation and photo mensuration data. LOSAT
solutions in which photo measurements and orientation angles are
weighted in accordance with defined accuracies, reflect a necessity
for a change in spacecraft velocity of approximately 1 meter/second.
Extrapolation of this velocity change to a full orbital arc con-
taining 145 exposures accomplished at an interval of 23 seconds
would change arc length by over 3 kilometers, requiring reshaping of
the orbit to establish exposure statión positions which are con-
sistent with other data inputs. Comparison of common surface
positions developed from the short test strips, shows biases in the
order of 50 meters for elevations derived from different photographic
revolutions. Systematic horizontal displacements range from 250
meters between revolutions 22 and 27 solutions to 650 meters between
revolutions 22 and 60 solutions. The time interval between
revolution 22 and 27 photography was 10 hours, while 75 hours
separated orbital revolutions 22 and 60. These early results,
based on 21 exposures from 3 lunar orbital arcs can only be con-
sidered indicative of a significant lack of compatibility between
the developed spacecraft ephemeris and photogrammetric data.
Triangulation of the full length of the overlapping, orbital photo-
graphic strips will be required to adequately describe discontinuities
and identify their source. Hopefully, these photogrammetric
definitions of systematic differences in orbital and surface positions
will lead to an improved lunar gravity model and knowledge of seleno-
detic parameters as a basis for further control development.
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