Stability of outer planetary systems

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Gas Giant Planets, Motion Stability, Orbital Mechanics, Planetary Orbits, Planetary Systems, Solar System, Celestial Mechanics, Solar Orbits, Systems Stability

Scientific paper

The conditions for stability in the Liapunov-Hill sense of outer planetary systems are given in terms of radii of planetary orbits. The outer planets of the solar system are found stable and the possible existence of other than the presently known planets between Jupiter and Pluto are indicated. The existence of other planetary systems with arbitrary mass ratios of the primaries is suggested, and the stability conditions for such systems are derived.

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