Limits on Energy and Angular Momentum for Escape and Collapse in the Full N-Body Problem

Abstract

The range of energies and angular momentum that exist for the full N-Body problem when components are resting on each other is studied. Using a simple model of equal sized spheres, lower and upper bounds on a system?s energy are found for the collection to remain connected as a single body, when fission into multiple components will occur, and what the implications are when individual components escape from the system.