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On the long-term orbital evolution of a satellite revolving around an oblate body

Published online by Cambridge University Press:  16 October 2024

Gabriela-Ana Nadabaică Open the ORCID record for Gabriela-Ana Nadabaică [Opens in a new window]
Gabriela-Ana Nadabaică*
Affiliation:
Faculty of Mathematics, Al. I. Cuza University of Iaşi Blvd. Carol I, no. 11, 700506 Iaşi, Romania
*
email: [email protected]
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Abstract

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In the context of a perturbed two body problem, in which the Keplerian motion of the small object (the satellite) is perturbed by the oblateness of the central body (the asteroid) and the attraction of a third body (the Sun), we discuss the long-term evolution of the orbital elements of a satellite orbiting an oblate body, with a particular focus on the behavior of the inclination and the longitude of the ascending node. We derive analytically the position of the Laplace plane as a function of several parameters and use this solution to analyse the long-term evolution of distant circular orbits. The analytical study is complemented by numerical tests, performed in the context of both Cartesian and Hamiltonian frameworks. The results give a description of the orbital dynamical environment of asteroids and reveal the parameters that play a key role in the long-term stability of distant circular orbits.

Keywords

Laplace planeobliquityHamiltonian approachCartesian approach
Type
Poster Paper
Information
Proceedings of the International Astronomical Union , Volume 18 , Symposium S382: Complex Planetary Systems II: Latest Methods for an Interdisciplinary Approach , December 2022 , pp. 159 - 164
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of International Astronomical Union

References

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