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

✍ Scribed by Masatoshi Hirabayashi; Mutsuko Y. Morimoto; Hajime Yano; Jun’ichiro Kawaguchi; Julie Bellerose


Book ID
103830637
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
171 KB
Volume
206
Category
Article
ISSN
0019-1035

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✦ Synopsis


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 L1 when the ratio of gravitational to centripetal acceleration is less than 0.125, and that there is always no stable area at L2 and L3; the result is applied to the fast rotating Asteroid 2000EB 14 .