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轨道共振态稳定性的一种判别方法
引用本文:廖新浩,刘林.轨道共振态稳定性的一种判别方法[J].南京大学学报(自然科学版),1993,29(4):560-568.
作者姓名:廖新浩  刘林
作者单位:南京大学天文系,南京大学天文系
摘    要:本文通过对一种简化的椭圆型限制性三体问题对应的受报理想共振模型的详细讨论,建立了一种用能量关系来判别轨道共振态稳定性的方法.数值结果表明:当运动天体的轨道偏心率小于0.2时,可以将此方法用于椭圆型限制性三体问题中轨道共振态稳定性的判别.

关 键 词:受摄理想共振  天平动  能量判别式

A DISCRIMINATING METHOD ON STABILITY OF ORBITAL RESONANT STATES
Liao Xinhao Liu Lin.A DISCRIMINATING METHOD ON STABILITY OF ORBITAL RESONANT STATES[J].Journal of Nanjing University: Nat Sci Ed,1993,29(4):560-568.
Authors:Liao Xinhao Liu Lin
Institution:Department of Astronomy
Abstract:Based on the detailed discussions on a simplified ideal resonant model with perturbations which corresponds to the elliptic restricted three-body problem, we put forward a discriminating method on stability of orbital resonant states by means of an energy relation in this paper. Numerical results show that if the eccentricity of motional body is less than 0.2, then the method can be used to distinguish the stability of orbital resonant states in the elliptic restricted three-body problem.
Keywords:ideal resonance with perturbations  libration  energy discriminant
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