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

Nathan Leigh*, Aaron M. Geller

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)2369-2377
Number of pages9
JournalMonthly Notices of the Royal Astronomical Society
Issue number3
StatePublished - Sep 21 2012


  • Binaries
  • Celestial mechanics
  • Close
  • Gravitation
  • Methods
  • Scattering
  • Statistical

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


Dive into the research topics of 'Small-N collisional dynamics: Pushing into the realm of not-so-small N'. Together they form a unique fingerprint.

Cite this