Title: Saari's Conjecture for the Planar Three-body Problem with Equal Masses Running Title: Saari's Conjecture for Three Equal Masses Author: Saari's Conjecture for the Planar Three-body Problem with Equal Masses
نویسنده
چکیده
In the N-body problem, it is a simple observation that relative equilib-ria (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 o f inertia, then it must be a relative equilibrium. In this note, we connrm the conjecture for the planar three-body problem with equal masses.
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