# Newton's method for computing periodic orbits of the planar three-body problem

@article{Hristov2021NewtonsMF, title={Newton's method for computing periodic orbits of the planar three-body problem}, author={Iavor Varbanov Hristov and Radoslava Hristova and Igor V. Puzynin and Taisia P. Puzynina and Zarif Sharipov and Zafar Tukhliev}, journal={ArXiv}, year={2021}, volume={abs/2111.10839} }

In this paper we present in detail Newton’s method and its modification, based on the Continuous analog of Newton’s method for computing periodic orbits of the planar three-body problem. The linear system at each step of the method is formed by solving a system of ODEs with the multiple precision Taylor series method. We consider zero angular momentum symmetric initial configuration with parallel velocities, bodies with equal masses and relatively short periods. Taking candidates for the…

## One Citation

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