Stability of Satellite Orbits Near the Outer Edge of a Circumplanetary Hill Sphere

Physics

Scientific paper

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Scientific paper

In the search for habitable extra-solar planets or satellites, it is imperative that we understand the dynamics of a satellite’s orbit, for long-term stability increases the plausibility of life. If a satellite orbits its host planet chaotically, inconsistencies in climate arise on both the satellite and the planet. Using SWIFT, a fortran orbital integration scheme, we have investigated Lyapounov timescales for three-body problems concerning the Sun/Earth/Moon system and giant gaseous planets orbiting Sun-like stars with fictitious satellites of variable mass. Discovering that Lyapounov timescales decrease quickly as a satellite’s initial semi-major axis increases confirms that satellites do not maintain long-term stable orbits further than approximately one half the Hill Sphere for that particular system (Henon, 1970).

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