The stability of the Saturnian satellite system

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Celestial Mechanics, Dynamic Stability, Saturn Satellites, Three Body Problem, Dione, Enceladus, Hyperion, Iapetus, Mimas, Oblate Spheroids, Rhea (Astronomy), Titan

Scientific paper

Pioneer and Voyager 1 and 2 data on the orbits of the Saturnian satellites are employed in 3-body calculations to determine if a hierarchical stability has been established. The hierarchy could exist if none of the orbits of any of the satellites perturb or cross the orbits of any other satellites. The calculations consider Saturn and pairs of the satellites and triple systems of the satellites, with all systems considered in isolation from the rest of the solar system. No perturbing force is found to be strong enough to disturb the hierarchical orbits of the system. However, when the calculations consider a barrier criterion and the presence of perturbational effects of the sun, then no satellite in the solar system can be predicted to have a hierarchical orbital stability.

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