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

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

Research output: Contribution to journalArticle

18 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 languageEnglish
Pages (from-to)780-782
Number of pages3
JournalIcarus
Volume206
Issue number2
DOIs
Publication statusPublished - 2010 Apr 1
Externally publishedYes

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asteroids
asteroid
centripetal force
rods

Keywords

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

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Linear stability of collinear equilibrium points around an asteroid as a two-connected-mass : Application to fast rotating Asteroid 2000EB14. / Hirabayashi, Masatoshi; Morimoto, Mutsuko; Yano, Hajime; Kawaguchi, Jun'ichiro; Bellerose, Julie.

In: Icarus, Vol. 206, No. 2, 01.04.2010, p. 780-782.

Research output: Contribution to journalArticle

Hirabayashi, Masatoshi ; Morimoto, Mutsuko ; Yano, Hajime ; Kawaguchi, Jun'ichiro ; Bellerose, Julie. / Linear stability of collinear equilibrium points around an asteroid as a two-connected-mass : Application to fast rotating Asteroid 2000EB14. In: Icarus. 2010 ; Vol. 206, No. 2. pp. 780-782.
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