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.

21 pages, 6 figures, Earth, Moon, and Planets 2015

References in corpus (4)

• Orbits and Manifolds near the Equilibrium Points around a Rotating Asteroid
• Study of the Surface of 2003 EL61: the largest carbon-depleted object in the trans-neptunian belt
• The Albedo, Size, and Density of Binary Kuiper Belt Object (47171) 1999 TC36
• A Dynamical Solution of the Triple Asteroid System (45) Eugenia

Cited by in corpus (3)

• Dynamical Configurations of Celestial Systems Comprised of Multiple Irregular Bodies
• Periodic Orbit Families in the Gravitational Field of Irregular-shaped Bodies
• Relative Effect of Inclinations for Moonlets in the Triple Asteroidal Systems