Against the background of a restricted three-body problem consisting of a supergiant eclipsing binary system, the two primaries are composed of a pair of bright oblate stars whose mass changes with time. The zero-velocity surface and curve of the problem are numerically studied to describe the third body’s motion area, and the corresponding five libration points are obtained. Moreover, the effect of small perturbations, Coriolis and centrifugal forces, radiative pressure, and the oblateness and mass parameters of the two primaries on the third body’s dynamic behavior is discussed through the bifurcation diagram. Furthermore, the second- and third-order approximate analytical periodic solutions around the collinear solution point L3 in two-dimensional plane and three-dimensional spaces are presented by using the Lindstedt-Poincaré perturbation method.

中文翻译：

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具有摄动，扁率，辐射和质量变化的受限三体问题的近似解析周期解

在一个由超巨大的日蚀双星系统组成的受限制的三体问题的背景下，两个原色由一对质量随时间变化的明亮扁圆星组成。数值研究了问题的零速度表面和曲线，以描述第三物体的运动区域，并获得了相应的五个释放点。此外，通过分叉图讨论了小扰动，科氏力和离心力，辐射压力以及两个原色的扁率和质量参数对第三体动力学行为的影响。此外，