Symmetries in the three body problem

Details Symmetries in the three body problem Symmetries in the three body problem

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982poast..30..207k&link_type=abstract

(Polskie Towarzystwo Astronomiczne, Zjazd, 20th, Krakow, Poland, Sept. 15, 1981.) Postepy Astronomii, vol. 30, Apr.-June 1982, p

Mathematics

Celestial Mechanics, Symmetry, Three Body Problem, Canonical Forms, Hamiltonian Functions, Transformations (Mathematics), Vector Analysis

Scientific paper

Consideration is given to a Hamiltonian vector field on a cotangent
bundle with a symplectic structure. The global symmetries of the
planetary version of the three body problem are presented, and local
symmetries of Poincare's model are defined. The relationship between
local symmetries and resonances is shown.

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