Equilibrium Points and Periodic Orbits in the Vicinity of Asteroids with an Application to 216 Kleopatra

Abstract

In this study, equilibrium points and periodic orbits in the potential field of asteroids are investigated. We present the linearized equations of motion relative to the equilibrium points and characteristic equations. We find that the distribution of characteristic multipliers of periodic orbits around the equilibrium point and the distribution of eigenvalues of the equilibrium point correspond to each other. The distribution of eigenvalues of the equilibrium point confirms the topology and the stability of periodic orbits around the equilibrium point.

arXiv comment21 pages, 6 figures, Earth, Moon, and Planets 2015

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• Periodic Orbit Families in the Gravitational Field of Irregular-shaped Bodies
• Stable Periodic Orbits for Spacecrafts around Minor Celestial Bodies
• Relative Effect of Inclinations for Moonlets in the Triple Asteroidal Systems
• Hamiltonian Formulation and Perturbations for Dust Motion around Cometary Nuclei
• Convergence of a Periodic Orbit Family Close to Asteroids During a Continuation
• Equilibrium Points and Surface Dynamics About Comet 67P/Churyumov-Gerasimenko
• Capillary Action in a Crack on the Surface of Asteroids with an Application to 433 Eros
• Surface Properties, Orbital Dynamics, and Thermophysical Modeling of the Primitive Asteroid (269) Justitia