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The semi-analytical motion theory of the third order in planetary masses for the Sun – Jupiter – Saturn – Uranus –Neptune’s system

Published online by Cambridge University Press:  30 May 2022

Alexander Perminov Open the ORCID record for Alexander Perminov [Opens in a new window]  and
Eduard Kuznetsov Open the ORCID record for Eduard Kuznetsov [Opens in a new window]
Alexander Perminov
Affiliation:
Ural Federal University, Lenina Avenue, 51, Yekaterinburg, 620000, Russia
Eduard Kuznetsov
Affiliation:
Ural Federal University, Lenina Avenue, 51, Yekaterinburg, 620000, Russia
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Abstract

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The averaged four-planetary motion theory is constructed up to the third order in planetary masses. The equations of motion in averaged elements are numerically integrated for the Solar system’s giant planets for different initial conditions. The comparison of obtained results with the direct numerical integration of Newtonian equations of motion shows an excellent agreement with them. It suggests that this motion theory is constructed correctly. So, we can use this theory to investigate the dynamical evolution of various extrasolar planetary systems with moderate orbital eccentricities and inclinations.

Keywords

celestial mechanicsmethods: analyticalmethods: numericalplanets and satellites: individual (Jupiter, Saturn, Uranus, Neptune)
Type
Research Article
Information
Proceedings of the International Astronomical Union , Volume 15 , Symposium S364: Multi-scale (Time and Mass) Dynamics of Space Objects (Oct 2021) , October 2019 , pp. 211 - 213
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of International Astronomical Union

References

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