Federico Mogavero

IMCCE, Observatoire de Paris

The origin of chaos in the Solar System through computer algebra

The discovery of the chaotic motion of the planets in the Solar System goes back to more than thirty years ago. Still, no analytical theory has satisfactorily addressed the origin of chaos so far. Implementing canonical perturbation theory in the computer algebra system TRIP, we systematically retrieve the secular resonances at work along the orbital solution of a forced long-term dynamics of the inner planets. We compare the time statistic of their half-widths to the ensemble distribution of the maximum Lyapunov exponent, and establish dynamical sources of chaoticity in an unbiased way. New resonances are predicted by the theory and checked against direct integrations of the Solar System. The image of an entangled dynamics of the inner planets emerges.
Joint work with J. Laskar.
Accepted for publication in Astronomy & Astrophysics.

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The origin of chaos in the Solar System through computer algebra
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