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摄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.
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 distinquish the stability of orbital resonant states in the elliptic restricted three-body problem.
出处
《南京大学学报（自然科学版）》
CAS
CSCD
1993年第4期560-568,共9页
Journal of Nanjing University（Natural Science）
基金
国家自然科学基金
关键词
小行星
轨道共振态
稳定性
天平动
ideal resonance with perturbations
libration
energy discriminant
