广义光引力Chermnykh问题平衡点的线性稳定性
Linear Stability of Equilibrium Points in the Generalized Photogravitational Chermnykh's Problem
摘要：
本文讨论了广义光引力Chermnykh问题的平衡点及其线性稳定性。较大的一次球被认为是辐射源，而较小的一次球被认为是扁球体。对辐射压的影响进行了数值分析。在$μ< μ_{Routh}=0.0385201$给出的李雅普诺夫稳定性意义下，共线点是线性不稳定的，三角形点是稳定的.还研究了来自该带的重力势的影响。该系统的数学性质不同于经典的限制三体问题。
英文摘要：
The equilibrium points and their linear stability has been discussed in the generalized photogravitational Chermnykh's problem. The bigger primary is being considered as a source of radiation and small primary as an oblate spheroid. The effect of radiation pressure has been discussed numerically. The collinear points are linearly unstable and triangular points are stable in the sense of Lyapunov stability provided $μ< μ_{Routh}=0.0385201$. The effect of gravitational potential from the belt is also examined. The mathematical properties of this system are different from the classical restricted three body problem.
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