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Multiple bifurcations around 433 Eros with Harmonic Balance Method

Published online by Cambridge University Press:  30 May 2022

Leclère Nicolas Open the ORCID record for Leclère Nicolas [Opens in a new window] ,
Kerschen Gaëtan  and
Dell’Elce Lamberto
Leclère Nicolas
Affiliation:
Space Structures and Systems Laboratory, Department of Aerospace and Mechanical Engineering, Université de Liège, Belgique
Kerschen Gaëtan
Affiliation:
Space Structures and Systems Laboratory, Department of Aerospace and Mechanical Engineering, Université de Liège, Belgique
Dell’Elce Lamberto
Affiliation:
Inria & Université Côte Azur, McTAO team, Sophia Antipolis, France
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Abstract

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The objective of this paper is to carry out periodic orbital propagation and bifurcations detection around asteroid 433 Eros. Specifically, we propose to exploit a frequency-domain method, the harmonic balance method, as an efficient alternative to the usual time integration. The stability and bifurcations of the periodic orbits are also assessed thanks to the Floquet exponents. Numerous periodic orbits are found with various periods and shapes. Different bifurcations, including period doubling, tangent, real saddle and Neimark-Sacker bifurcations, are encountered during the continuation process. Resonance phenomena are highlighted as well.

Keywords

Harmonic balanceasteroidErosbifurcationsresonance
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. 171 - 177
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of International Astronomical Union

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