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A time-symmetric block time-step algorithm for N-body simulations

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dc.contributor.authorMakino, Junichiro
dc.contributor.authorHut, Piet
dc.contributor.authorKaplan, Murat
dc.contributor.authorSaygin, Hasan
dc.date.accessioned2026-01-25T12:53:13Z
dc.date.issued2006-11-01
dc.description.abstractThe method of choice for integrating the equations of motion of the general N-body problem has been to use an individual time step scheme. For the sake of efficiency, block time steps have been the most popular, where all time step sizes are smaller than a maximum time step size by an integer power of two. We present the first successful attempt to construct a time-symmetric integration scheme, based on block time steps. We demonstrate how our scheme shows a vastly better long-time behavior of energy errors, in the form of a random walk rather than a linear drift. Increasing the number of particles makes the improvement even more pronounced.
dc.description.urihttps://doi.org/10.1016/j.newast.2006.06.003
dc.description.urihttp://arxiv.org/pdf/astro-ph/0604371v1.pdf
dc.description.urihttps://dx.doi.org/10.48550/arxiv.astro-ph/0604371
dc.description.urihttp://arxiv.org/abs/astro-ph/0604371
dc.description.urihttps://dx.doi.org/10.1016/j.newast.2006.06.003
dc.identifier.doi10.1016/j.newast.2006.06.003
dc.identifier.endpage133
dc.identifier.issn1384-1076
dc.identifier.openairedoi_dedup___::90deb643697db3017fc787a24d9a5150
dc.identifier.orcid0000-0002-0411-4297
dc.identifier.orcid0000-0003-2595-5463
dc.identifier.orcid0000-0003-2479-7635
dc.identifier.startpage124
dc.identifier.urihttps://hdl.handle.net/11527/51216
dc.identifier.volume12
dc.language.isoeng
dc.publisherElsevier BV
dc.relation.ispartofNew Astronomy
dc.rightsOPEN
dc.subjectAstrophysics (astro-ph)
dc.subjectFOS: Physical sciences
dc.subjectAstrophysics
dc.titleA time-symmetric block time-step algorithm for N-body simulations
dc.typeArticle
dspace.entity.typePublication

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