Non-Existence of New Meromorphic First Integrals in the Planar Three-Body Problem

Details Non-Existence of New Meromorphic First Integrals in the Planar Three-Body Problem Non-Existence of New Meromorphic First Integrals in the Planar Three-Body Problem

Jul 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003cemda..86..237t&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 86, Issue 3, p. 237-247 (2003).

Astronomy and Astrophysics

Astronomy

5

Scientific paper

We consider the planar three-body problem and prove that, apart from
some exceptional cases, there is no additional first integral
meromorphic with respect to positions, mutual distances and momenta.

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