Dirac reduction of binary asteroid systems with symmetry and stability of relative equilibria

Kaori Onozaki, Hiroaki Yoshimura*

*この研究の対応する著者

研究成果: Article査読

抄録

In this paper, we study symmetry reduction for a binary asteroid system modeled by a rigid body and a particle. In particular, we demonstrate how translational and rotational symmetry reduction appeared in the binary asteroid system can be carried out in the context of Dirac reduction by stages and with the associated reduction of implicit Hamiltonian systems. Then we investigate stability of relative equilibria of the asteroid pair and show stability regions by using the energy-momentum method. Lastly, we illustrate some numerical simulations for stable and unstable orbits near from relative equilibria of the Collinear and T configurations.

本文言語English
論文番号013011
ページ(範囲)13011
ページ数1
ジャーナルTheoretical and Applied Mechanics Letters
3
1
DOI
出版ステータスPublished - 2013

ASJC Scopus subject areas

  • 計算力学
  • 環境工学
  • 土木構造工学
  • 生体医工学
  • 航空宇宙工学
  • 海洋工学
  • 材料力学
  • 機械工学

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