Choreography solutions of the $n$-body problem on $S^2$

Juan Manuel S\'anchez-Cerritos; Shiqing Zhang

arxiv: 1806.03032 · v1 · pith:TULPPNBYnew · submitted 2018-06-08 · 🧮 math.DS

Choreography solutions of the n-body problem on S²

Juan Manuel S\'anchez-Cerritos , Shiqing Zhang This is my paper

classification 🧮 math.DS

keywords problembodychoreographyexistencesolutionsorbitproveshape

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We try to prove the existence of choreography solutions for the $n-$body problem on $S^2$. For the three-body problem, we show the existence of the 8-shape orbit on $S^2$.

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Choreography solutions of the n-body problem on S²

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