Journal Article

Small-N collisional dynamics: pushing into the realm of not-so-small N

Nathan Leigh and Aaron M. Geller

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 425, issue 3, pages 2369-2377
Published in print September 2012 | ISSN: 0035-8711
Published online September 2012 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2012.21689.x
Small-N collisional dynamics: pushing into the realm of not-so-small N

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Abstract

In this paper, we study small-N gravitational dynamics involving up to six objects. We perform a large suite of numerical scattering experiments involving single, binary and triple stars. This is done using the fewbody numerical scattering code, which we have upgraded to treat encounters involving triple stars. We focus on outcomes that result in direct physical collisions between stars, within the low angular momentum and high absolute orbital energy regime. The dependence of the collision probability on the number of objects involved in the interaction, N, is found for fixed total energy and angular momentum. Our results are consistent with a collision probability that increases approximately as N2. Interestingly, this is also what is expected from the mean free path approximation in the limit of very large N. A more thorough exploration of parameter space will be required in future studies to fully explore this potentially intriguing connection. This study is meant as a first step in an ongoing effort to extend our understanding of small-N collisional dynamics beyond the three- and four-body problems and into the realm of larger N.

Keywords: scattering; gravitation; methods: statistical; celestial mechanics; binaries: close

Journal Article.  7944 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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