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Families of periodic orbits around asteroids: From shape symmetry to asymmetry

Published online by Cambridge University Press:  30 May 2022

G. Voyatzis Open the ORCID record for G. Voyatzis [Opens in a new window] ,
D. Karydis  and
K. Tsiganis
G. Voyatzis
Affiliation:
Section of Astrophysics, Astronomy and Mechanics, Dept. of Physics, Aristotle University of Thessaloniki, GR 54124, Thessaloniki, Greece email: voyatzis@auth.gr, dkarydis@auth.gr, tsiganis@auth.gr
D. Karydis
Affiliation:
Section of Astrophysics, Astronomy and Mechanics, Dept. of Physics, Aristotle University of Thessaloniki, GR 54124, Thessaloniki, Greece email: voyatzis@auth.gr, dkarydis@auth.gr, tsiganis@auth.gr
K. Tsiganis
Affiliation:
Section of Astrophysics, Astronomy and Mechanics, Dept. of Physics, Aristotle University of Thessaloniki, GR 54124, Thessaloniki, Greece email: voyatzis@auth.gr, dkarydis@auth.gr, tsiganis@auth.gr
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Abstract

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In Karydis et al. (2021) we have introduced the method of shape continuation in order to obtain periodic orbits in the complex gravitational field of an irregularly-shaped asteroid starting from a symmetric simple model. What’s more, we map the families of periodic orbits of the simple model to families of the real asteroid model. The introduction of asymmetries in a gravitational potential may significantly affect the dynamical properties of the families. In this paper, we discuss the effect of the asymmetries in the neighborhood of vertically critical orbits, where, in the symmetric model, bifurcations of 3D periodic orbit families occur. When asymmetries are introduced, we demonstrate that two possible continuation schemes can take place in general. Numerical simulations, using an ellipsoid and a mascon model of 433-Eros, verify the existence of these schemes.

Keywords

AsteroidsOrbital mechanicsPeriodic orbits
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. 246 - 251
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of International Astronomical Union

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