A general timing condition for consecutive collision orbits in the limiting case MU = 0 of the elliptic restricted problem

Details A general timing condition for consecutive collision orbits in the limiting case MU = 0 of the elliptic restricted problem A general timing condition for consecutive collision orbits in the limiting case MU = 0 of the elliptic restricted problem

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..52..167h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 52, no. 2, 1991, p. 167-194. Research supported by Computer S

Astronomy and Astrophysics

Astronomy

1

Elliptical Orbits, Mass Transfer, Orbital Mechanics, Three Body Problem, Gravitational Fields, Orbital Elements

Scientific paper

Consecutive collision orbits in the limiting case mu = 0 of the elliptic restricted three-body problem are investigated, in particular those in which the infinitesimal mass collides twice with the smaller (massless) primary. A timing condition is presented that allows the extension of previous results to the case of arbitrary relative orientation of the orbits of the infinitesimal mass and the smaller primary. The timing condition is expressed in two general forms - in terms of orbit parameters and eccentric (or hyperbolic) anomalies at the times of collision - for the specific cases of elliptic, parabolic or hyperbolic orbits of the infinitesimal mass. Some families of solutions are presented.

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