Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978aiaa.confr....k&link_type=abstract
American Institute of Aeronautics and Astronautics and American Astronautical Society, Astrodynamics Conference, Palo Alto, Cali
Astronomy and Astrophysics
Astronomy
Lunar Effects, Orbital Elements, Planet Ephemerides, Synchronous Satellites, Angular Momentum, Angular Velocity, Computer Programs, Hamiltonian Functions, Harmonic Motion, Legendre Functions, Orbit Calculation, Orbit Perturbation, Periodic Variations, Tables (Data), Triaxial Stresses
Scientific paper
Synchronous satellite ephemeris is developed in terms of nonsingular orbital elements. Earth's triaxiality effect is represented by zonal and tesseral harmonics up to J33 coefficients. Lunar motion is represented by Hill-Brown lunar theory with coefficients up to 10 to the -3rd radians. Solar motion is described by elliptical orbit expansion with terms up to 10 to the -4th radians. The orbital elements are determined by a Hamiltonian system that leads to three decoupled sets of simple-pendulum type of equations with forced oscillations. The basic periods of these forced oscillations are essentially the satellite-diurnal, lunar-monthly, solar-yearly, lunar perigee 8.9-year progression and lunar node 18.6-year regression.
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