基于偶极子模型的双小行星系统平衡点特性研究  

STUDY ON EQUILIBRIUM POINTS CHARACTERISTICS OF BINARY ASTEROID SYSTEMS BASED ON THE MASS DIPOLE MODEL

作　　者：李旭[1,2] 钱霙婧 杨晓东[1,2] 张伟 LI Xu;QIAN Ying-jing;YANG Xiao-dong;ZHANG Wei(Faculty of Materials and Manufacturing,Beijing University of Technology,Beijing 100124,China;Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures,Beijing 100124,China)

机构地区：[1]北京工业大学材料与制造学部,北京100124 [2]北京市非线性振动与机械结构强度重点实验室,北京100124

出　　处：《工程力学》2021年第12期232-248,共17页Engineering Mechanics

基　　金：国家自然科学基金项目(11772009,11972050,11832002);北京市自然科学基金项目(1192002)。

摘　　要：针对主星是细长型小行星,而次星是小而规则天体的双小行星系统,采用偶极子—粒子模型,建立了普适性的引力场模型,研究了系统平衡点附近的局部动力学及周期轨道问题。研究了同步状态下系统参数对平衡点位置、稳定性和变化趋势的影响,并给出了非共线平衡点的线性稳定域,计算了在非同步双小行星系统的等效平衡点的轨迹。结合路径搜索修正法和伪弧长延拓方法得到同步双小行星系统共线平衡点附近的1∶1共振轨道族。该研究能为双小行星系统探测中轨道设计问题提供理论基础。The local dynamics and periodic orbits in the vicinity of equilibrium points in binary asteroid systems are investigated.The dynamical model for synchronous binary asteroid system with one elongated asteroid and one small and regular asteroid is established.For the synchronous binary system,the influences of system parameters on location,stability,and variation trends of the equilibrium points are studied.The linear stability area for non-collinear equilibrium points is given.For the non-synchronous binary system,trajectories of equivalent equilibrium points are found.1∶1 families of resonant orbits near the collinear equilibrium points of the synchronous binary asteroid system are obtained by the path searching correction method and the pseudo-arclength continuation method.This study can provide theoretical basis for the orbital design in binary asteroid explorations.

关 键 词：双小行星 偶极子模型 平衡点 共振轨道族 伪弧长延拓 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]