Fradkin-Bacry-Ruegg-Souriau perihelion vector for Gorringe-Leach equations

Details Fradkin-Bacry-Ruegg-Souriau perihelion vector for Gorringe-Leach equations Fradkin-Bacry-Ruegg-Souriau perihelion vector for Gorringe-Leach equations

Feb 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cemda.106..109g&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 106, Issue 2, pp.109-116

Astronomy and Astrophysics

Astronomy

Classical Mechanics, Conserved Quantities, Dynamical Symmetries, Velocity Dependent Equations, Arnold-Vassiliev Duality, Laplace-Runge-Lenz Vector

Scientific paper

We show that every generalized Gorringe-Leach equation admits an associated Fradkin-Bacry-Ruegg-Souriau’s vector which, in general, is only a piecewise conserved quantity. In the case of dualizable generalized Gorringe-Leach equations, which include the case of conservative motions in central power law potentials, the image sets of the FBRS vectors for dual classes are dual images of each other.

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