Poynting-Robertson效应对广义光引力Chermnykh问题平衡点的Lyapunov稳定性
Poynting-Robertson Effect on the Lyapunov Stability of Equilibrium Points in the Generalized Photogravitational Chermnykh's Problem
摘要：
讨论了当大质点为辐射源，小质点为扁球体时，广义光引力Chermnykh问题中平衡点的李雅普诺夫稳定性的Poynting-Robertson（P-R）效应.我们推导了运动方程，得到了平衡点，并研究了平衡点的线性稳定性的各种值的参数已在本问题中使用。我们已经研究了引力带的引力势效应。平衡点的位置与经典情形不同。我们已经看到，由于P-R效应，所有的平衡点在李雅普诺夫意义下都是不稳定的。
英文摘要：
The Poynting-Robertson(P-R) effect on Lyapunov stability of equilibrium points is being discussed in the the generalized photogravitational Chermnykh's problem when bigger primary is a sours of radiation and smaller primary is an oblate spheriod. We derived the equations of motion, obtained the equilibrium points and examined the linear stability of the equilibrium points for various values of parameter which have been used in the present problem. We have examined the effect of gravitational potential from the belt. The positions of the equilibrium points are different from the position in classical case. We have seen that due to the P-R effect all the equilibrium points are unstable in Lyapunov sense.
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