Lunar and solar perturbations on the orbit of a geosynchronous satellite

Details Lunar and solar perturbations on the orbit of a geosynchronous satellite Lunar and solar perturbations on the orbit of a geosynchronous satellite

Jul 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975aiaa.conft....g&link_type=abstract

American Astronautical Society and American Institute of Aeronautics and Astronautics, Astrodynamics Specialist Conference, Nass

Astronomy and Astrophysics

Astronomy

Artificial Satellites, Gravitational Effects, Lunar Gravitational Effects, Orbit Perturbation, Satellite Perturbation, Solar Gravitation, Synchronous Satellites, Differential Equations, Eccentricity, Equations Of Motion, Hamiltonian Functions, Numerical Integration, Orbit Calculation, Orbital Mechanics

Scientific paper

The luni-solar effects cause a large amplitude, long-period perturbation of the orbital plane. Canonical differential equations associated with this motion contain a singular point, and are expanded about this point to third order. A solution is given that is valid for long times and is not restricted to small inclinations. Higher order terms are investigated. Expressions are given for the inclination (I) and node as a function of time. Comparisons with a numerically integrated solution show a disagreement in inclination of only .03 deg after 11 years.

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