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Periodic orbits related to the equilibrium points in the potential of Irregular-shaped minor celestial bodies
Author(s) -
Yu Jiang,
Hexi Baoyin
Publication year - 2018
Publication title -
results in physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.743
H-Index - 56
ISSN - 2211-3797
DOI - 10.1016/j.rinp.2018.11.049
Subject(s) - orbit (dynamics) , asteroid , physics , elliptic orbit , circular orbit , bifurcation , minor (academic) , periodic orbits , heteroclinic orbit , celestial mechanics , geometry , classical mechanics , mathematics , astronomy , homoclinic orbit , nonlinear system , political science , engineering , quantum mechanics , law , aerospace engineering
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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