Linear stability of collinear equilibrium points around an asteroid as a two-connected-mass: Application to fast rotating Asteroid 2000EB14 |
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| Authors: | Masatoshi Hirabayashi Mutsuko Y Morimoto Jun’ichiro Kawaguchi |
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| Institution: | a Department of Aeronautics and Astronautics, The University of Tokyo, Bunkyo-ku. 113-8656, Japan
b Japan Aerospace Exploration Agency, JSPEC, Sagamihara 229-8510, Japan |
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| Abstract: | 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 2000EB14. |
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| Keywords: | Asteroids Dynamics Celestial mechanics Near-Earth objects Satellites Dynamics |
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