Saari's Conjecture for the Planar Three-Body Problem with Equal Masses
Author: McCord, Christopher
Source: Celestial Mechanics and Dynamical Astronomy, Volume 89, Number 2, June 2004 , pp. 99-118(20)
Abstract:In the N-body problem, it is a simple observation that relative equilibria (planar solutions for which the mutual distances between the particles remain constant) have constant moment of inertia. In 1970, Don Saari conjectured that the converse was true: if a solution to the N-body problem has constant moment of inertia, then it must be a relative equilibrium. In this note, we confirm the conjecture for the planar three-body problem with equal masses.
Document Type: Research Article
Affiliations: Email: email@example.com
Publication date: June 1, 2004