| Issue |
A&A
Volume 662, June 2022
|
|
|---|---|---|
| Article Number | L3 | |
| Number of page(s) | 16 | |
| Section | Letters to the Editor | |
| DOI | https://doi.org/10.1051/0004-6361/202243327 | |
| Published online | 03 June 2022 | |
Letter to the Editor
The origin of chaos in the Solar System through computer algebra
IMCCE, CNRS, Observatoire de Paris, Université PSL, Sorbonne Université, 77 avenue Denfert-Rochereau, 75014 Paris, France
e-mail: federico.mogavero@obspm.fr
Received:
14
February
2022
Accepted:
8
April
2022
The discovery of the chaotic motion of the planets in the Solar System dates back more than 30 years. 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 chaos 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.
Key words: celestial mechanics / planets and satellites: dynamical evolution and stability / chaos
© F. Mogavero and J. Laskar 2022
Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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