Analysis of equilibria in the doubly synchronous binary asteroid systems concerned with non-spherical shape
作者机构：School of Aerospace EngineeringBeijing Institute of TechnologyBeijing 100081China Key Laboratory of Autonomous Navigation and Control for Deep Space ExplorationMinistry of Industry and Information TechnologyBeijing 100081China Paris ObservatoryLESIA5Place J.Janssen92195 Meudon Principal CedexFrance
出 版 物：《Astrodynamics》 (航天动力学（英文）)
年 卷 期：2018年第2卷第2期
页 面：133-146页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：doubly synchronous binary asteroid equilibria non-spherical shape stability
摘 要：This paper investigates the equilibria and their stabilities in the doubly synchronous binary asteroid systems,which are modelled as the two tri-axial ellipsoids with various shape and system ***,the influences of shape and system parameters on equilibria are discussed ***,the geometrical models of doubly synchronous binary asteroid systems are *** dual second degree and order gravity fleld is employed to approximate the gravitational potential of the *** shape and system parameters are ***,based on the linearized perturbation equations,the explicit expressions of the offsets of equilibria in doubly synchronous systems are derived,which clearly ilustrate the relationship between the distribution of equilibria and the variations of shape ***,the approximate expressions are applied to estimate the ftets of equilibria due to parameter etrors,***,in order to have a better insight into the equilibriaum structure,the sabiltis of equilibrisa under diferent system parameters are *** particular,critical regions of triangular equilibria are calculated and the role of the relative distance on the stability is discussed in *** study could provide a preliminary analysis of equilibria for the mission design in doubly synchronous binary asteroid systems.
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