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Stability of triangular equilibrium points of oblate infinitesimal influenced by oblate and radiating primaries in Elliptic Restricted Three Body Problem based on Floquet's theory

机译:基于Floquet理论的椭圆辐射三体问题扁平和辐射初探三角均衡点的稳定性

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摘要

This paper deals with the stability analysis of the triangular equilibrium points for the generalized problem of the photogravitational restricted three body where both the primaries are radiating. The problem is generalized in the sense that the eccentricity of the orbits and the oblateness due to both the primaries and infinitesimal are considered. The stability in the case of linear resonance are analyzed based on the Floquet's theory for finding the characteristic exponent for a system containing periodic coefficients. It was found that the critical value of mu for the stability boundary for parametric excitation is dependent on the oblateness of the primaries as well as infinitesimal.
机译:本文涉及三角形平衡点的稳定性分析,用于广义辐射的三体的广义问题,其中两个初值都是辐射的。 在认为轨道的偏心和由于初学者和无穷小的偏心引起的偏心和尺寸引起的意义上是概括的。 基于Floquet的理论分析了线性谐振的稳定性,用于找到包含周期系数的系统的特征指数。 结果发现,参数激发的稳定边界的MU的临界值取决于原初级以及无穷小的尺寸。

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