Families of integrable and stochastic trajectories in the N-body problem

Details Families of integrable and stochastic trajectories in the N-body problem Families of integrable and stochastic trajectories in the N-body problem

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26at....7..275s&link_type=abstract

Astronomical and Astrophysical Transactions, vol. 7, Issue 4, pp.275-276

Astronomy and Astrophysics

Astronomy

N-Body Problem, Integrability, Stochastic Motions

Scientific paper

One can find, in the phase space and the parameter space, sufficiently large region where the N-body problem (for any N) is integrable in the classical sense. These bodies have large relative velocities and the close approaches are absent. On the other hand, the families of trajectories with regular approaches are constructed. These families are similar to a stochastic process even for small N and naturally are non-integrable. Intermediate cases are also considered.

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