Three-frequency resonance in the planetary many-body problem

Statistics – Computation

Scientific paper

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Asteroids, Jupiter Satellites, Many Body Problem, Motion Stability, Orbital Resonances (Celestial Mechanics), Solar System, Computational Astrophysics, Libration, Orbital Mechanics, Uranus Satellites

Scientific paper

The motion stability in the general and restricted planetary many-body
problems is investigated in the case of three-frequency resonances. The
libration condition of the resonance phase is obtained. The results
obtained are applied to the study of the asteroids in the solar system
and the natural satellites of Jupiter and Uranus.

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