Compactification of the Energy Surfaces for NBodies

Knauf A, Montgomery R (2023)


Publication Type: Journal article

Publication year: 2023

Journal

Book Volume: 28

Pages Range: 628-658

Journal Issue: 4

DOI: 10.1134/S1560354723040081

Abstract

For Nbodies moving in Euclidean d-space under the influence of ahomogeneous pair interaction wecompactify every center of mass energy surface, obtaining a (Formula presented.)-dimensional manifold with corners in the sense of Melrose.After a time change, the flow on this manifold is globally definedand nontrivial on the boundary.

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APA:

Knauf, A., & Montgomery, R. (2023). Compactification of the Energy Surfaces for NBodies. Regular & Chaotic Dynamics, 28(4), 628-658. https://doi.org/10.1134/S1560354723040081

MLA:

Knauf, Andreas, and Richard Montgomery. "Compactification of the Energy Surfaces for NBodies." Regular & Chaotic Dynamics 28.4 (2023): 628-658.

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