Classical Four-Body Problem in Hyperspherical Coordinates

摘要

In this study we have developed the classical four-body problem using a system of hyperspherical coordinates proposed by Ohrn and Linderberg [Mol. Phys. 49, 53 (1982)]. Expressions are given for the canonical momenta, principal moments of inertia, total angular momentum, kinetic energy, and, finally, the Hamilton equations of motion.