带Poynting-Robertson阻力的广义光引力限制三体问题的一阶正规化
First Order Normalization in the Generalized Photogravitational Restricted Three Body Problem with Poynting-Robertson Drag
摘要：
本文研究了三角形平衡点的非线性稳定性。本文对带Poynting-Robertson阻力的广义光引力限制三体问题进行了一阶归一化。在这个问题中，我们取较大的一次源作为辐射源，较小的一次源是一个扁球体。首先将拉格朗日函数展开为x和y的幂级数，其中（x，y）为三角形平衡点的坐标。然后，线性化系统的特征方程的根之间的关系。关键词：一阶归一化/广义光引力/ RTBP。
英文摘要：
In this paper we have studied non-linear stability of triangular equilibrium points. We have performed first order normalization in the generalized photogravitational restricted three body problem with Poynting-Robertson drag. In this problem we have taken bigger primary as source of radiation and smaller primary is an oblate spheroid. At first we have expanded the Lagrangian function in power series of x and y, where (x, y) are the coordinates of the triangular equilibrium points. Then the relation between the roots of the characteristic equation for the linearised system is obtained. Key Words:First order normalization / Generalised Photogravitational/ RTBP.
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