This paper proposes a method for calculating the periodic orbits in the Circular Restricted Three-Body Problem. The solution is based on the continuation method with a parameter. The parameter is the angular velocity of rotation of the attracting masses around their barycenter. Analytical periodic solutions of the problem of two fixed attracting masses serve as generating solutions. Seven possible generating solutions are described. Numerical examples of the initial conditions are given for the Earth–Moon system, making it possible to calculate the described orbits and their graphic illustrations.

中文翻译：

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圆形受限三体问题中周期轨道的解

本文提出了一种在圆约束三体问题中计算周期轨道的方法。该解决方案基于带有参数的连续方法。该参数是吸引质量围绕其重心旋转的角速度。两个固定吸引质量问题的解析周期解用作生成解。描述了七个可能的生成解决方案。给出了地球-月球系统初始条件的数值示例，从而可以计算所描述的轨道及其图形说明。