Geometry of Chaos in Models of Stellar Dynamics

Details Geometry of Chaos in Models of Stellar Dynamics Geometry of Chaos in Models of Stellar Dynamics

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..83..171c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 83, Issue 1, p. 171-190 (2002).

Astronomy and Astrophysics

Astronomy

2

Hamiltonian Chaos, Stellar Dynamics

Scientific paper

A quantitative description of Hamiltonian chaos, based on a Riemannian geometrization of Newtonian dynamics, is discussed here for a model, introduced by Contopoulos, describing the dynamics of a test star in a galactic potential. A statistical treatment of the geometry of dynamics, effective in the limit of a large number N of degrees of freedom, is here applied to the N = 3 case of the Contopoulos model, discussing how the statistical model has to be modified in order to quantitatively account for the chaoticity of the dynamics.

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