Figure-eight choreographies of the equal mass three-body problem with Lennard-Jones-type potentials

Hiroshi Fukuda, Toshiaki Fujiwara, Hiroshi Ozaki

We report on figure-eight choreographic solutions to a system of three identical particles interacting through a potential of Lennard-Jones type, $1/r^{12}-1/r^6$ where $r$ is a di…