On regularization of the (gravitational) restricted planar 2+2 problem for collisions between minors

Details On regularization of the (gravitational) restricted planar 2+2 problem for collisions between minors On regularization of the (gravitational) restricted planar 2+2 problem for collisions between minors

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989aj.....97.1220t&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 97, April 1989, p. 1220-1226.

Astronomy and Astrophysics

Astronomy

1

Circular Orbits, Collisions, Four Body Problem, Gravitational Effects, Space-Time Functions, Coordinate Transformations, Equations Of Motion, Orbital Mechanics

Scientific paper

The restricted (gravitational) planar circular 2+2 problem of the collisions between two minors has been regularized such that the terms containing singularities are eliminated or become singular. The present study is an extension of the work of Whipple and Szebehely (1984). The problem is shown to be reduced to the study of the equilibria of a new system of differential equations (in complex form) by appropriate simultaneous space and time transformations.

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