Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-26T09:17:38.706Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected], [email protected], [email protected]
D. Karydis
Affiliation:
Section of Astrophysics, Astronomy and Mechanics, Dept. of Physics, Aristotle University of Thessaloniki, GR 54124, Thessaloniki, Greece email: [email protected], [email protected], [email protected]
K. Tsiganis
Affiliation:
Section of Astrophysics, Astronomy and Mechanics, Dept. of Physics, Aristotle University of Thessaloniki, GR 54124, Thessaloniki, Greece email: [email protected], [email protected], [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

References

Broucke, R. 1969 Stability of periodic orbits in the elliptic, restricted three-body problem AIAA Journal, 7:1003–1009 CrossRefGoogle Scholar
Hénon, M. 1973 A&A, 28, 415 Google Scholar
Jiang, Y., Schmidt, J., Li, H., Liu, X. & Yang, Y. 2018 Astrodynamics, 2, 69 CrossRefGoogle Scholar
Karydis, D., Voyatzis, G., & Tsiganis, K. 2021 Advances in Space Research (to appear)Google Scholar
Meyer, K.R., Hal, G.R., & Offin, D. 2009 Introduction to Hamiltonian dynamical systems and N-body problem (Springer)CrossRefGoogle Scholar
Ni, Y., Jiang, Y., & Baoyin, H. 2016 ASS, 361, 170 Google Scholar
Scheeres, D.J. 2012 Orbital motion in strongly perturbed environments (Springer, Berlin Heidelberg)CrossRefGoogle Scholar
Scheeres, D.J. 2012 Acta Astronautica, 72, 1 CrossRefGoogle Scholar
Soldini, S., Takanao, S., Ikeda, H., Wada, K, Yuichi, T., Hirata, N, & and Hirata, N. 2020 Planetary and Space Science 180, 104740 CrossRefGoogle Scholar
Yu, Y., & Baoyin, H. 2012 MNRAS, 427, 872 CrossRefGoogle Scholar