Physics
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrva..46.6277b&link_type=abstract
Physical Review A (ISSN 1050-2947), vol. 46, no. 10, p. 6277-6287.
Physics
17
Boundary Value Problems, Circular Orbits, Gravitational Effects, Scattering Functions, Stellar Systems, Three Body Problem, Hamiltonian Functions, Liapunov Functions, Nonlinear Equations
Scientific paper
The generation of initial-value space images showing final characteristics of the system vs initial values is employed to numerically investigate gravitational scattering of a single star by a stellar pair, in an initially circular orbit. The space is composed of regions for which simple deflection or exchange occurs after a single close approach between the star and the pair, and, separating these regions, a network of resonance 'rivers', for which the three stars become temporarily mutually bound, exhibiting complicated, chaotic behavior before one particle is eventually ejected. The general features of the initial-value space are discussed, with emphasis on the resonance regions, which are found to contain small-scale, bandlike structure, and the origin of this structure is explained with a straightforward dynamical argument. An expression for the scaling of the bands is derived. It is found that small-scale structure can be considered to be continuous in one direction and discontinuous in the transverse direction.
Boyd Patricia T.
McMillan Stephen L. W.
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