University of Oulu

Yu Jiang, Hexi Baoyin, Periodic orbits related to the equilibrium points in the potential of Irregular-shaped minor celestial bodies, Results in Physics, Volume 12, 2019, Pages 368-374, ISSN 2211-3797,

Periodic orbits related to the equilibrium points in the potential of irregular-shaped minor celestial bodies

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Author: Jiang, Yu1,2,3; Baoyin, Hexi2
Organizations: 1State Key Laboratory of Astronautic Dynamics, China Xi’an Satellite Control Center, Xi’an 710043, China
2School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
3Astronomy Research Unit, University of Oulu, Finland
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 3.1 MB)
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Language: English
Published: Elsevier, 2019
Publish Date: 2019-10-04


We presented an overview of detailed continuation results of periodic orbit families which emanate from the equilibrium points (EPs) of irregular-shaped minor celestial bodies (hereafter called minor bodies). The generation and annihilation of periodic orbits (POs) related to the EPs are discussed in detail. The branch points of families of POs are also investigated. We presented 3D bifurcation diagrams for periodic orbits families emanating from the EPs of minor bodies which have five EPs totally. Structures of the 3D bifurcation diagrams depend on the distribution of EPs with different topological classifications. We calculated orbit families emanating from the EPs of asteroids 433 Eros and 216 Kleopatra, including the Lyapunov orbit family, the Vertical orbit family, the orbit families bifurcating from the Vertical orbit family, as well as the nonplanar orbit family.

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Series: Results in physics
ISSN: 2211-3797
ISSN-E: 2211-3797
ISSN-L: 2211-3797
Volume: 12
Pages: 368 - 374
DOI: 10.1016/j.rinp.2018.11.049
Type of Publication: A1 Journal article – refereed
Field of Science: 114 Physical sciences
Funding: This research was supported by the China Postdoctoral Science Foundation-Special Funding (No. 2018T110092), the National Natural Science Foundation of China (No. 11772356), the China Scholarship Council (visiting scholar, CSC No. 201703170036), and the National Science Foundation for Distinguished Young Scholars (11525208).
Copyright information: © 2018 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (