A regularization of the three-body problem

Details A regularization of the three-body problem A regularization of the three-body problem

Oct 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec..10..185a&link_type=abstract

Celestial Mechanics, vol. 10, Oct. 1974, p. 185-205.

Computer Science

Numerical Analysis

126

Celestial Mechanics, Equations Of Motion, Three Body Problem, Collision Parameters, Function Space, Hamiltonian Functions, Numerical Analysis, Particle Mass, Transformations (Mathematics)

Scientific paper

The new approach considered for dealing with the three-body problem is based on familiar ideas of Hamiltonian dynamics in the extended phase space and employs the six center-of-mass integrals to reduce the order of the differential equations which describe the particle motions. Use is made of the classical canonical treatment of Whittaker (1904) and of concepts considered by Szebehely (1967). The actual regularization is achieved by introducing two KS transformations.

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