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

Kaori Onozaki, Hiroaki Yoshimura

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number013011
Pages (from-to)13011
Number of pages1
JournalTheoretical and Applied Mechanics Letters
Volume3
Issue number1
DOIs
Publication statusPublished - 2013

Keywords

  • Binary asteroid
  • Dirac reduction
  • Stability

ASJC Scopus subject areas

  • Computational Mechanics
  • Environmental Engineering
  • Civil and Structural Engineering
  • Biomedical Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanics of Materials
  • Mechanical Engineering

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