Choreography solutions of the n-body problem on S²

2018/06/08 by Juan Manuel Sánchez-Cerritos, Sánchez-Cerritos, Juan Manuel, Shiqing Zhang +1
Engineering · Physics and Astronomy · #Spacecraft Dynamics and Control #Astro and Planetary Science #Cosmology and Gravitation Theories

paper · pdf · doi:10.48550/arxiv.1806.03032

Abstract

We try to prove the existence of choreography solutions for the n-body problem on S². For the three-body problem, we show the existence of the 8-shape orbit on S².

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