Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992asdy.conf.2173s&link_type=abstract
IN: Astrodynamics 1991; Proceedings of the AAS/AIAA Astrodynamics Conference, Durango, CO, Aug. 19-22, 1991. Pt. 3 (A92-43251 18
Astronomy and Astrophysics
Astronomy
Gravity Anomalies, Orbit Calculation, Orbit Perturbation, Planetary Gravitation, Poincare Problem, Spacecraft Orbits, Canonical Forms, Equations Of Motion, Gravitational Fields, Oblate Spheroids, Orbital Elements
Scientific paper
A semianalytic method to predict the orbit of a spacecraft orbiting a planet and perturbed by oblateness and a gravity anomaly (mascon) is presented. The Hamiltonian is first expressed in closed form in terms of the nonsingular canonical set of Poincare elements where the mascon is represented by a point-mass. The planet global potential is limited to the second and third harmonics. The mascon potential in harmonics is limited to second degree and first order. The original Lie-Hori method is then applied to transform the canonical equations of motion from the osculating element space to the mean element space. Numerical integration of the new equations is used.
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