Electronic Resource
Woodbury, NY
:
American Institute of Physics (AIP)
Chaos
3 (1993), S. 507-523
ISSN:
1089-7682
Source:
AIP Digital Archive
Topics:
Physics
Notes:
We summarize some results of an ongoing study of the chaotic scattering interaction between a bound pair of stars (a binary) and an incoming field star. The stars are modeled as point masses and their equations of motion are numerically integrated for a large number of initial conditions. The global features of the resulting initial-value space maps are presented, and their evolution as a function of system parameters is discussed. We find that the maps contain regular regions separated by rivers of chaotic behavior. The probability of escape within the chaotic regions is discussed, and a straightforward explanation of the scaling present in these regions is reviewed. We investigate a statistical quantity of interest, namely the cross section for temporarily bound interactions, as a function of the third star's incoming velocity and mass. Finally, a new way of considering long-lived trajectories is presented, allowing long data sets to be qualitatively analyzed at a glance.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.165956
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