Non-integrability of the three-body problem

Details Non-integrability of the three-body problem Non-integrability of the three-body problem

May 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cemda.110...17m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 110, Issue 1, pp.17-30

Astronomy and Astrophysics

Astronomy

1

Integrability, Non-Integrability Criteria, Monodromy Group, Differential Galois Group, Hypergeometric Equation, Hamiltonian Equations, Three-Body Problem

Scientific paper

We consider the planar problem of three bodies which attract mutually
with the force proportional to a certain negative integer power of the
distance between the bodies. We show that such generalisation of the
gravitational three-body problem is not integrable in the Liouville
sense.

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