Linear stability of collinear equilibrium points around an asteroid as a two-connected-mass: Application to fast rotating Asteroid 2000EB14

• Published in: Icarus (New York, N.Y. 1962) Vol. 206; no. 2; pp. 780 - 782
• Main Authors: HIRABAYASHI, Masatoshi, MORIMOTO, Mutsuko Y, YANO, Hajime, KAWAGUCHI, Jun'ichiro, BELLEROSE, Julie
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier 01-04-2010
• Subjects: Astronomy; Earth, ocean, space; Exact sciences and technology; Solar system; Gravitational force; Rotating system; Dynamics; Asteroids; Satellites, Dynamics; Linear stability; Solar system; Asteroids, Dynamics; Near-Earth objects; Celestial mechanics; Equilibrium point
• ISSN: 0019-1035; 1090-2643
• DOI: 10.1016/j.icarus.2009.12.023

This note discusses the stability of collinear equilibrium points around a rotating system composed of two masses rigidly connected by a massless rod in the case, where the centripetal force outweighs the gravitational force. It is found that a stable region appears at L 1 when the ratio of gravitational to centripetal acceleration is less than 0.125, and that there is always no stable area at L 2 and L 3 ; the result is applied to the fast rotating Asteroid 2000EB14.