Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255862 | Journal of Geometry and Physics | 2018 | 18 Pages |
Abstract
Consider the equal mass planar 4-body problem with a potential corresponding to an inverse cube force. The Jacobi-Maupertuis principle reparametrizes the dynamics as geodesics of a certain metric. We compute the curvature of this metric in the reduced space on the collinear and parallelogram invariant surfaces and observe some dynamical consequences.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Connor Jackman, Josué Meléndez,