Abstract

We use a systolic N-body algorithm to evaluate the linear stability of the gravitational N-body problem for N up to 1.3 × 10^5, two orders of magnitude greater than in previous experiments. For the first time, a clear N-dependence of the perturbation growth rate is seen, µe ∼ lnN. The e-folding time for N = 10^5 is roughly 1/20 of a crossing time (Refer to PDF file for exact formulas).

Publication Date

11-20-2002

Comments

Also archived in:arXiv:astro-ph/0205538 v3 18 Jul 2002 AND Rutgers Astrophysics Preprint Series No. 336 This work was supported by NSF grant 00-71099 and by NASA grants NAG5-6037 and NAG5-9046 to DM.ISSN:1538-4357 Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works in February 2014.

Document Type

Article

Department, Program, or Center

School of Physics and Astronomy (COS)

Campus

RIT – Main Campus

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