Redundant variables for 'global' regularization of the three-body problem

Details Redundant variables for 'global' regularization of the three-body problem Redundant variables for 'global' regularization of the three-body problem

Aug 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14...69h&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 5th, Oberwolfach, West Germany, Aug. 24-30, 1975.) Celestial Mechani

Computer Science

Numerical Analysis

Celestial Mechanics, Euler-Lagrange Equation, Hamiltonian Functions, Three Body Problem, Transformations (Mathematics), Equations Of Motion, Numerical Analysis

Scientific paper

It has been shown (Heggie, 1974) that the equations of motion for the three-body problem may be cast into a form which is regular for collisions between any pair of bodies. The method proceeds by two stages, namely the introduction of redundant variables, and the application of the KS-transformation. The present contribution gives a different treatment of the first of these stages.

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