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Regular and Chaotic Dynamics, 2023, Volume 28, Issue 4-5, Pages 374–394
DOI: https://doi.org/10.1134/S1560354723520027 (Mi rcd1212) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Special Issue: On the 80th birthday of professor A. Chenciner

Brake Orbits Fill the N-Body Hill Region

Richard Montgomery

Dept. of Mathematics, UCSC, 1156 High Street, 95064 Santa Cruz, CA
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DOI: https://doi.org/10.1134/S1560354723520027
Abstract: A brake orbit for the N-body problem is a solution for which, at some instant, all velocities of all bodies are zero. We reprove two “lost theorems” regarding brake orbits and use them to establish some surprising properties of the completion of the Jacobi – Maupertuis metric for the N-body problem at negative energies.
Keywords: N-body problem, Hill region, Jacobi – Maupertuis metric, brake orbit, zero velocity surface.
Received: 30.11.2022
Accepted: 21.04.2023
Document Type: Article
MSC: 37J50, 70H99
Language: English
Citation: Richard Montgomery, “Brake Orbits Fill the N-Body Hill Region”, Regul. Chaotic Dyn., 28:4-5 (2023), 374–394
Citation in format AMSBIB
\Bibitem{Mon23}
\by Richard Montgomery
\paper Brake Orbits Fill the N-Body Hill Region
\jour Regul. Chaotic Dyn.
\yr 2023
\vol 28
\issue 4-5
\pages 374--394
\mathnet{http://mi.mathnet.ru/rcd1212}
\crossref{https://doi.org/10.1134/S1560354723520027}
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    • This publication is cited in the following 1 articles:
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