On the Local Equivalence Between Manev and Kepler Problems

Details On the Local Equivalence Between Manev and Kepler Problems On the Local Equivalence Between Manev and Kepler Problems

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aipc.1043..133k&link_type=abstract

EXPLORING THE SOLAR SYSTEM AND THE UNIVERSE. AIP Conference Proceedings, Volume 1043, pp. 133-136 (2008).

Physics

Celestial Mechanics, Newtonian Mechanics, Rotational Kinematics, Lagrangian And Hamiltonian Mechanics, Energy Conservation

Scientific paper

We demonstrate here the existence of a local Darboux chart for the Manev
model such that its dynamics becomes locally equivalent to Kepler model.
This explains the similarities between these two models and especially
why they share common symmetry algebras.

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