Math and Computer Science Honors Theses

Central Configurations in the Planar 7-Body Problem

Date of Creation

5-16-2012

Document Type

Departmental Honors Thesis - Restricted Access

Department

Mathematics

First Advisor

Gareth E. Roberts

Abstract

Central configurations are special solutions to the n-body problem. We consider symmetric double rhombus configurations with a central body. By normalizing the mutual distances and masses. we can reduce the description of the configuration to two distances and three masses. We completely determine for which positions there are central configurations of the symmetric double rhombus type with positive masses. We also rigorously prove there is a family of solutions with subsets forming equilateral triangles.

Comments

Reader: John B. Little

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