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

Masatoshi Hirabayashi; Mutsuko Y. Morimoto; Hajime Yano; Jun'ichiro Kawaguchi; Julie Bellerose

doi:10.1016/j.icarus.2009.12.023

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

Masatoshi Hirabayashi
, Mutsuko Y. Morimoto
, Hajime Yano
, Jun'ichiro Kawaguchi
, Julie Bellerose

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

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.

Original language	English
Pages (from-to)	780-782
Number of pages	3
Journal	Icarus
Volume	206
Issue number	2
DOIs	https://doi.org/10.1016/j.icarus.2009.12.023
Publication status	Published - 2010 Apr
Externally published	Yes

Keywords

Asteroids, Dynamics
Celestial mechanics
Near-Earth objects
Satellites, Dynamics

ASJC Scopus subject areas

Astronomy and Astrophysics
Space and Planetary Science

Access to Document

10.1016/j.icarus.2009.12.023

Cite this

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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.",

keywords = "Asteroids, Dynamics, Celestial mechanics, Near-Earth objects, Satellites, Dynamics",

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AU - Hirabayashi, Masatoshi

AU - Morimoto, Mutsuko Y.

AU - Yano, Hajime

AU - Kawaguchi, Jun'ichiro

AU - Bellerose, Julie

PY - 2010/4

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AB - 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.

KW - Asteroids, Dynamics

KW - Celestial mechanics

KW - Near-Earth objects

KW - Satellites, Dynamics

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