Satellite theory

Computer Science

Scientific paper

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Dynamic Characteristics, Natural Satellites, Orbit Perturbation, Orbital Mechanics, Planetary Orbits, Solar System, Celestial Mechanics, Degrees Of Freedom, Equations Of Motion, Long Term Effects, Orbital Elements, Perturbation Theory, Secular Variations, Solar Activity Effects, Planets, Satellites, Dynamics, Classification, Tidal Effects, Parameters, Motion, Acceleration, Perturbations, Orbits, Catalogs, Celestial Bodies

Scientific paper

The dynamical characteristics of the natural satellite of Mars, Jupiter, Saturn, Uranus and Neptune are analyzed on the basis of the solar tidal perturbation factor and the oblateness factor of the primary planet for each satellite. For the inner satellites, for which the value of the solar tidal factor is much smaller than the planetary oblateness factor, it is shown that the eccentricity and inclination of satellite orbits are generally very small and almost constant; several pairs of inner satellites are also found to exhibit commensurable mean motions, or secular accelerations in mean longitude. In the case of the outer satellites, for which solar perturbations are dominant, secular perturbations and long-period perturbations may be derived by the solution of equations of motion reduced to one degree of freedom. The existence of a few satellites, termed intermediary satellites, for which the solar tidal perturbation is on the order of the planetary oblateness factor, is also observed, and the pole of the orbital plane of the satellite is noted to execute a complex motion around the pole of the planet or the orbital plane of the planet.

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