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2022 On the Dynamics of the Solar System II: Evolution of the Orbital Planes
Ramon González Calvet
Geom. Integrability & Quantization 24: 39-64 (2022). DOI: 10.7546/giq-24-2022-39-64

Abstract

The evolution of the orientations of the orbital planes of the planets is calculated under the approximation of circular orbits. The inclination and the longitude of the ascending node of each orbital plane are then described by means of a linear combination of complex exponentials of time with periods of several thousand years. The evolution of these orbital elements for Mercury, Jupiter and Saturn is displayed as well as that of the ecliptic. Finally, the obliquity of the ecliptic is computed from $-2\,000\,000$ to $+2\,000\,000$ years since J2000. It ranges from $10^\circ$ to $35^\circ$ in this time interval.

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Ramon González Calvet. "On the Dynamics of the Solar System II: Evolution of the Orbital Planes." Geom. Integrability & Quantization 24 39 - 64, 2022. https://doi.org/10.7546/giq-24-2022-39-64

Information

Published: 2022
First available in Project Euclid: 17 August 2022

Digital Object Identifier: 10.7546/giq-24-2022-39-64

Rights: Copyright © 2022 Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy

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