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

Kaori Onozaki, Hiroaki Yoshimura

    Research output: Contribution to journalArticle

    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
    JournalTheoretical and Applied Mechanics Letters
    Volume3
    Issue number1
    DOIs
    Publication statusPublished - 2013

      Fingerprint

    Keywords

    • Binary asteroid
    • Dirac reduction
    • Stability

    ASJC Scopus subject areas

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

    Cite this