Mathematics – Probability
Scientific paper
Nov 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991icar...94..112t&link_type=abstract
Icarus (ISSN 0019-1035), vol. 94, Nov. 1991, p. 112-125.
Mathematics
Probability
5
Accretion Disks, Planetary Evolution, Planetary Rotation, Protoplanets, Spin Dynamics, Collision Parameters, Hill Method, Orbital Mechanics, Three Body Problem
Scientific paper
The planar-restricted three-body problem furnishes the framework for the present numerical investigation of the structure of the totality of orbits, beginning at the Hill surface. In addition to clarifying the qualitative features of the totality of orbits at the Hill surface, a general formula is obtained for the collisional probability as a function of mass ratio, radius, and Jacobi constant. The range of the Jacobi constant corresponding to its Hill problem value in the three-body case is also obtained, and the collisional probability is given as a function of the velocity at the Hill surface.
Kikuchi Naokichi
Sato Ikuro
Tanikawa Kiyotaka
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