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arXiv · 1204.2472

Stacked Central Configurations for Newtonian N+4-Body Problems

Furong Zhao·Shiqing Zhang
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Abstract

In this paper,we study spatial central configurations where N bodies are at the vertices of a regular N-gon $T$ and the other 4 bodies are symmetrically located on the straight line that is perpendicular to the plane that contains $T$ and passes through the center of $T$.We study the necessary conditions about masses for the bodies which can form a central configuration and show the existence of central configurations for Newtonian N+4-body problems.

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Furong Zhao, Shiqing Zhang. 2012-04-11. Stacked Central Configurations for Newtonian N+4-Body Problems. https://arxiv.org/abs/1204.2472

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