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基于双椭球模型的双星系统稳定性研究
蓝磊, 杨墨
清华大学 航天航空学院, 北京 100084
摘要:
太阳系中存在着数量众多的双星系统。研究双星系统对于认识小行星的起源和演化有着重要意义。本文以双椭球模型,使用Joshua推导的四阶精度相互势,对双互锁双星系统进行研究。并通过KTC定理证明其稳定性。研究结果验证了卫星和主星存在相对滚转角速度是双互锁系统的一种可能的绕转方式。
关键词:  双星系统;双互锁;双椭球;稳定性
DOI:10.15982/j.issn.2095-7777.2017.02.015
分类号:V529.2
基金项目:国家自然科学基金资助项目(11572166,11372150)
Research on a Potential Stability Form of Doubly Synchronous Binary System Based on Triaxial Ellipsoids Model
LAN Lei, YANG Mo
School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
Abstract:
There are numerous binary systems in solar system. The research on binary systems is important for understanding the origin and evolution of asteroids. A two-triaxial-ellipsoid system is used to model the binary asteroids. Combining with Joshua's research in fourth-order mutual gravitational torque of two bodies, the stability of the binary system is proved by KTC theorem. Thus, the results verify a potential form of the doubly synchronous binary asteroids system where there is a roll angular velocity between the primary and moonlet.
Key words:  binary system;doubly synchronous;two triaxial ellipsoids;stability