Halfway between Heaven and Hell
Richard Montgomery

TL;DR
This paper explores fundamental questions about the classical N-body problem, examining the relationship between the virial theorem and the Jacobi-Maupertuis principle to deepen understanding of gravitational systems.
Contribution
It provides new insights into the connections between virial equations and variational formulations in the N-body problem, addressing unresolved questions.
Findings
Some questions about the N-body problem are answered.
New links between virial theorem and Jacobi-Maupertuis formulation are established.
The paper advances theoretical understanding of gravitational dynamics.
Abstract
We pose several questions for the classical N-body problem inspired by connections between the virial equation and the Jacobi-Maupertuis formulationof mechanics. We answer some.
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Taxonomy
TopicsSpacecraft Dynamics and Control · Relativity and Gravitational Theory · Advanced Mathematical Theories
