Global regularization of binary collisions in the planar three-body problem

Details Global regularization of binary collisions in the planar three-body problem Global regularization of binary collisions in the planar three-body problem

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984crasb.298..399i&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie II Mecanique, Physique, Chimie, Sciences de l'Univers, Sciences de la Terre

Physics

Binary Stars, Celestial Mechanics, Collision Parameters, Stellar Motions, Three Body Problem, Integral Equations, Mass Ratios

Scientific paper

The planar three-body problem as formulated by Irigoyen (1979) is
investigated analytically. The global regularization of Sundman (1909)
is applied to the binary collisions, using the approach employed by
McGhee (1974) for the rectilinear problem. The solution is shown to be
valid for all values of the primary integrals h and C.

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