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

作     者：Kaori Onozaki Hiroaki Yoshimura 

作者机构：Major in Applied Mechanics Graduate School of Fundamental Science and Engineering Waseda University Department of Applied Mechanics and Aerospace Engineering Waseda University 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2013年第3卷第1期

页      面：81-88页

学科分类：08[工学] 0831[工学-生物医学工程（可授工学、理学、医学学位）] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 0707[理学-海洋科学] 0815[工学-水利工程] 0805[工学-材料科学与工程（可授工学、理学学位）] 0813[工学-建筑学] 0824[工学-船舶与海洋工程] 0802[工学-机械工程] 0836[工学-生物工程] 0814[工学-土木工程] 0825[工学-航空宇航科学与技术] 0701[理学-数学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：supported by JSPS(23560269) JSTCREST and Waseda University(2012A-602) 

主　　题：binary asteroid dirac reduction stability 

摘      要：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.C 2013 The Chinese Society of Theoretical and Applied Mechanics. [doi：10.1063/2.1301311]