Collision and escape in Einstein's PN field.

Details Collision and escape in Einstein's PN field. Collision and escape in Einstein's PN field.

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997babel.156...27s&link_type=abstract

Bulletin Astronomique de Belgrade, No. 156, p. 27 - 32

Astronomy and Astrophysics

Astronomy

1

Two-Body Problem: Gravitation Theory

Scientific paper

A two-body system is considered in a PN formalism involving higher powers of variables and mixed terms. The McGehee-type coordinate transformations are used to blow up the collision singularity and to regularize the equations of motion. The collision manifold is obtained as a 2D torus embedded in the 4D phase space. A similar torus is obtained for the infinity manifold. The fictitious flows on these tori are described. They provide information about near-collisional orbits and about escape and near-escape orbits.

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