Capture of a point mass by two fixed centers.

Details Capture of a point mass by two fixed centers. Capture of a point mass by two fixed centers.

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cosre..31..475v&link_type=abstract

Cosmic Res., Vol. 31, No. 5, p. 475 - 481

Physics

Scientific paper

The possibility of a point mass being captured in the problem of two fixed centers is considered. A solution in terms of Weierstrass functions is obtained and analyzed. Relations are introduced which the initial coordinates and velocity of the point must satisfy in order for capture to be possible. Here the point moves in a plane that passes through the two fixed centers and the initial position of the point mass along a spiral that winds about the line segment connecting the two centers. Conditions necessary for the mass point to coincide with one of the centers are investigated.

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