TL;DR
This paper investigates brake orbits in the equal mass 3-body problem, revealing paradoxes and mysteries from a recent database, and provides solutions and open questions about these special orbits.
Contribution
It identifies and resolves paradoxes and mysteries related to brake orbits in the 3-body problem, advancing understanding of these special solutions.
Findings
Resolved a paradox in brake orbits data
Solved a mystery regarding orbit configurations
Posed an open question for future research
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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Taxonomy
TopicsSpacecraft Dynamics and Control · Astro and Planetary Science · Space Satellite Systems and Control