Searching for New Nontrivial Choreographies for the Planar Three-Body Problem
摘要
Abstract
A specialized numerical search for new nontrivial choreographies for the planar three-body problem is made. With only three known so far nontrivial choreographies, we found 161 new ones. The linear stability of all found orbits is investigated by a high precision computing of the eigenvalues of the monodromy matrices.