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

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arxiv 1507.01100 v1 pith:4OPHMUW7 submitted 2015-07-04 math.DS math.CAmath.DG

Oscar Perdomo This is my paper · ORCID
classification math.DSmath.CAmath.DG
keywords methodperiodicbodyerrorproblemsmallsolutiontaylor
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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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Cited by 2 Pith papers

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    A numerical one-parameter family of CMC hypersurfaces in S^4 connects a piecewise-CMC singular limit to a singular minimal limit, with a single non-embedded minimal member.

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