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arXiv · 2407.18615

"Twist Vectors" for Central Configuration Equations

Marshall Hampton
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Abstract

A new coordinate system on the tangent space to planar configurations is introduced to simplify some calculations on central configurations and relative equilibria in the $N$-body problem with a homogeneous potential, which includes the case of Newtonian gravity. These coordinates are applied to some problems on four-body central configurations to illustrate their utility.

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Marshall Hampton. 2024-07-26. "Twist Vectors" for Central Configuration Equations. https://arxiv.org/abs/2407.18615

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