Statistics – Computation
Scientific paper
May 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jcoph..64..195a&link_type=abstract
Journal of Computational Physics (ISSN 0021-9991), vol. 64, May 1986, p. 195-219. Research supported by the University of Guelph
Statistics
Computation
17
Binary Stars, Celestial Mechanics, Gravitational Effects, Many Body Problem, Stellar Models, Collision Parameters, Differential Equations, Equations Of Motion, Numerical Integration
Scientific paper
Numerical methods employing multiple pair regularization schemes for N-body systems are presently tested in the integration of gravitational three- and four-body systems. These methods use the Kustaanheimo-Stiefel (1965) transformation for the regulation of two-body collisions in conjunction with various time transformations between 'physical' and 'parameter' time. When the time transformation is a function of the interparticle separations alone, stabilization results in a significant performance improvement for those cases in which the many-body collision singularity is strong, but has no decisive effect after the singularity has been softened by an optimal choice of transformation. Computer codes are developed for binary-single star and binary-binary scattering.
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