On Peres approach to Fradkin-Bacry-Ruegg-Souriau's perihelion vector
Yves Grandati (FCN, LPMC - Ea 3468), Alain Berard (FCN, LPMC - Ea, 3468), Herve Mohrbach (FCN, LPMC - Ea 3468)
TL;DR
This paper explicitly solves Peres' differential system to construct a conserved perihelion vector for central potentials, revealing its discontinuous behavior and providing new insights into classical orbital dynamics.
Contribution
It offers an explicit solution to Peres' system, enhancing understanding of the perihelion vector in central potential problems and its discontinuous nature.
Findings
Explicit solution to Peres' differential system
Identification of discontinuous behavior of the perihelion vector
Deeper insight into conserved quantities in orbital mechanics
Abstract
We solve explicitely the differential system obtained by Peres for the construction of a conserved vector associated to any central potential. We then obtain a very direct access to the discontinuous behavior of this Fradkin-Bacry-Ruegg-Souriau perihelion vector.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Cosmology and Gravitation Theories · Quantum Electrodynamics and Casimir Effect