Concerning reduction of equations of motion in the three body problem

Details Concerning reduction of equations of motion in the three body problem Concerning reduction of equations of motion in the three body problem

Jan 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..109l&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 6th, Oberwolfach, West Germany, Aug. 14-19, 1978.) Celestial Mechani

Mathematics

Celestial Mechanics, Equations Of Motion, Three Body Problem, Angular Momentum, Canonical Forms, Hamiltonian Functions, Integral Equations, Mathieu Function, Poincare Problem

Scientific paper

The paper examines the reduction of equations of motion of the plane
three body problem by introducing plane similitude groups in Poincare's
1-form. This leads in turn to an examination of the case of trajectories
with zero angular momentum and zero energy. Consideration is then given
to reduction of the three-dimensional problem.

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