On Peres approach to Fradkin-Bacry-Ruegg-Souriau’s perihelion vector

• Authors: Yves Grandati , Alain Bérard , Hervé Mohrbach
• Languages of publication: EN

Abstracts

EN

We solve explicitly 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 the Fradkin-Bacry-Ruegg-Souriau perihelion vector.

Keywords

EN

classical mechanics; conserved quantities; dynamical symmetries; Superintegrability; Laplace-Runge-Lenz vector

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 1
• Pages: 88-95

Dates

published

1 - 2 - 2011

online

24 - 9 - 2010

Contributors

author

Yves Grandati

• Institut de Physique, ICPMB, IF CNRS 2843, Université Paul Verlaine, 1 Bd Arago, 57078, Metz, Cedex 3, France

author

Alain Bérard

• Institut de Physique, ICPMB, IF CNRS 2843, Université Paul Verlaine, 1 Bd Arago, 57078, Metz, Cedex 3, France

author

Hervé Mohrbach

• Institut de Physique, ICPMB, IF CNRS 2843, Université Paul Verlaine, 1 Bd Arago, 57078, Metz, Cedex 3, France

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Identifiers

DOI

10.2478/s11534-010-0036-6