Resonant structure of the outer solar system

Computer Science

Scientific paper

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Celestial Mechanics, Dynamic Stability, Gas Giant Planets, Solar System, Three Body Problem, Hierarchies, Jupiter (Planet), Many Body Problem, Neptune (Planet), Numerical Integration, Uranus (Planet), Planets, Giant Planets, Solar System, Resonance, Structure, Jupiter, Computer Methods, Ephemerides, Saturn, Uranus, Neptune, Oscillations, Celestial Mechanics, Periodicity, Sun

Scientific paper

Hierarchical stability of the outer solar system is monitored through its 3-body subsystems by using numerically computed ephemerides for 5×106yr. It is found that the stability parameters of Sun-Jupiter-Saturn and Sun-Uranus-Neptune oscillate in anti-phase in ≡1.1×106yr. The mechanism responsible for this locking is a secular resonance between Uranus' perihelion and Jupiter's aphelion: the difference between the two librates within ≡±70° with the same period of ≡1.1×106yr.

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