Journal article
Chaotic scattering in the gravitational three-body problem
Chaos (Woodbury, N.Y.), v 3(4), pp 507-523
Oct 1993
PMID: 12780057
Abstract
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.
Metrics
Details
- Title
- Chaotic scattering in the gravitational three-body problem
- Creators
- Patricia T. Boyd - Goddard Space Flight CenterStephen L. W. McMillan
- Publication Details
- Chaos (Woodbury, N.Y.), v 3(4), pp 507-523
- Publisher
- American Institute of Physics (AIP)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:000208308700009
- Scopus ID
- 2-s2.0-0001179288
- Other Identifier
- 991019231755004721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical