A small variation of the Taylor Method and periodic solutions of the 3-body problem

2015/07/04 by Óscar Perdomo, Perdomo, Oscar · 2 citations
Engineering · Physics and Astronomy · #Spacecraft Dynamics and Control #Astro and Planetary Science #Nuclear physics research studies

paper · pdf · doi:10.48550/arxiv.1507.01100

Abstract

In this paper we define a small variation of the Taylor method and a formula for the global error of this new numerical method that allows us to keep track of the round-off error and does not require previous knowledge of the exact solution. As an application we provide a rigorous proof of the construction/existence of a periodic solution of the three body problem. Some images of this periodic motion can be seen at https://www.youtube.com/watch?v=fSmQyeKcj5k

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