On the stability of the inner planets, satellites and close binaries

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Artificial Satellites, Binary Stars, Celestial Mechanics, Earth-Moon System, Terrestrial Planets, Three Body Problem, Equations Of Motion, Hill Method, Libration, Oblate Spheroids, Satellite Orbits, Solar System, Stationkeeping

Scientific paper

The range of Hill stability for the circular three-body problem is examined for the case when the larger body has a finite oblateness. Consideration is also given to a minimum value for the Jacobi constant of the smaller bodies. The examination is applied to the earth-moon system, the solar system, and binaries, including the inner planets, short-period comets, asteroids, and artificial satellites. The stability range was determined to be smaller for a retrograde than a direct orbit of the same size, implying that artificial satellites intended for long-term stationkeeping should be launched into direct orbits.

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