Saari's Conjecture for the Planar Three-Body Problem with Equal Masses

被引：0
|
作者：
Christopher McCord
机构：
[1] University of Cincinnati,Department of Mathematical Sciences
来源：
Celestial Mechanics and Dynamical Astronomy | 2004年 / 89卷
关键词：
bounded orbits; moment of inertia; relative equilibria; three-body problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：99 / 118
页数：19
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