6-Body Central Configurations Formed by Two Isosceles Triangles
Furong Zhao, Shiqing Zhang
TL;DR
This paper proves the existence of specific 6-body central configurations formed by two congruent isosceles triangles and explores the conditions on masses for such configurations to occur.
Contribution
It introduces a new class of 6-body central configurations involving two congruent isosceles triangles and analyzes the mass conditions required.
Findings
Existence of 6-body configurations with two congruent isosceles triangles.
Necessary mass conditions for forming these configurations.
Bodies maintain some distance while forming the configuration.
Abstract
In this paper,we show the existence of a class of 6-body central configurations with two isosceles triangles; which are congruent to each other and keep some distance.We also study the necessary conditions about masses for the bodies which can form a central configuration.
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Taxonomy
TopicsSpacecraft Dynamics and Control · Structural Analysis and Optimization · Mathematics and Applications