Torus knot choreographies in the $n$-body problem

20 Oct 2020 Calleja Renato García-Azpeitia Carlos Lessard Jean-Philippe James J. D. Mireles

We develop a systematic approach for proving the existence of choreographic solutions in the gravitational $n$ body problem. Our main focus is on spatial torus knots: that is, periodic motions where the positions of all $n$ bodies follow a single closed which winds around a $2$-torus in $\mathbb{R}^3$... (read more)

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