Dropping Bodies

Richard Montgomery

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arXiv · 2207.02582

Dropping Bodies

Richard Montgomery

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Abstract

The subject is brake orbits for the 3-body problem: orbits where all velocities are zero at some instant. We extract a paradox and a mystery out of a recent database of 30 non-collision periodic brake orbits for the equal mass 3-body problem built up by Li and Liao. We solve the paradox and the mystery and pose an open question.

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Richard Montgomery. 2022-07-06. Dropping Bodies. https://arxiv.org/abs/2207.02582

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