Statistics – Computation
Scientific paper
Aug 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984asdy.confr....k&link_type=abstract
American Institute of Aeronautics and Astronautics and American Astronautical Society, Astrodynamics Conference, Seattle, WA, Au
Statistics
Computation
Interplanetary Navigation, Long Term Effects, Orbit Calculation, Orbit Perturbation, Planetary Orbits, Venus Orbiting Imaging Radar (Spacecraft), Earth-Venus Trajectories, Planetary Gravitation, Planetary Rotation, Recursive Functions, Spacecraft Orbits, Three Body Problem
Scientific paper
A set of singly averaged equations of motion are presented and applied to long-term orbit prediction of an orbiting spacecraft around a slowly rotating planet, using the Venus Radar Mapper Mission as an example. The equations of motion used are valid for all eccentricities less than one. The disturbing potentials used include nonsphericity of the Venus gravity field and third-body effects due to the sun. Recursive relationships are used in the expansion and evaluation of these potentials and their respective partial derivatives. Special care is taken to optimize computational efficiency. The averaging method is compared with high precision Cowell's method using a desktop microcomputer and shows computational saving of about two orders of magnitude.
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