{"id":133,"date":"2006-10-06T00:00:32","date_gmt":"2006-10-06T00:00:32","guid":{"rendered":"https:\/\/hasansaygin.com\/tr\/Hs\/?p=133"},"modified":"2020-11-06T08:49:55","modified_gmt":"2020-11-06T08:49:55","slug":"j-makino-p-hut-m-kaplan-and-h-saygin-a-time-symmetric-block-time-step-algorithm-for-n-body-simulations-new-astronomy-vol-12-no-2-pp-124-133-2006-abstract-t","status":"publish","type":"post","link":"https:\/\/hasansaygin.com\/tr\/j-makino-p-hut-m-kaplan-and-h-saygin-a-time-symmetric-block-time-step-algorithm-for-n-body-simulations-new-astronomy-vol-12-no-2-pp-124-133-2006-abstract-t\/","title":{"rendered":"A time-symmetric block time-step algorithm for N-body simulations"},"content":{"rendered":"<p><span style=\"font-family: Courier;\"><span style=\"font-size: medium;\"><span style=\"color: #000000;\">J. MAKINO, P. HUT, M. KAPLAN and <strong><span style=\"font-family: Courier;\"><span style=\"font-size: medium;\"><span style=\"color: #000000;\">H. SAYGIN<\/span><\/strong>, \u201c<em><span style=\"font-family: Courier;\"><span style=\"font-size: medium;\"><span style=\"color: #000000;\">A time-symmetric block time-step algorithm for N-body simulations<\/span><\/em>\u201d, <strong><span style=\"font-family: Courier;\"><span style=\"font-size: medium;\"><span style=\"color: #000000;\">New Astronomy<\/span><\/strong>, Vol. <strong><span style=\"font-family: Courier;\"><span style=\"font-size: medium;\"><span style=\"color: #000000;\">12<\/span><\/strong>, No. 2, pp. 124\u2013133 <strong><span style=\"font-family: Courier;\"><span style=\"font-size: medium;\"><span style=\"color: #000000;\">(2006).<\/Span><\/strong><\/span><br \/>\n<span style=\"font-family: Courier;\"><span style=\"font-size: medium;\"><span style=\"color: #000000;\"><br \/>\nAbstract<\/span><\/p>\n<p align= justify><span style=\"font-family: Courier;\"><span style=\"font-size: medium;\"><span style=\"color: #000000;\">The 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 e\ufb03ciency, 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 \ufb01rst 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. 2006 Elsevier B.V. All rights reserved.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>J. MAKINO, P. HUT, M. KAPLAN and H. SAYGIN, \u201cA time-symmetric block time-step algorithm for N-body simulations\u201d, New Astronomy, Vol. 12, No. 2, pp. 124\u2013133 (2006). Abstract The 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 &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/hasansaygin.com\/tr\/j-makino-p-hut-m-kaplan-and-h-saygin-a-time-symmetric-block-time-step-algorithm-for-n-body-simulations-new-astronomy-vol-12-no-2-pp-124-133-2006-abstract-t\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;A time-symmetric block time-step algorithm for N-body simulations&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":264,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-133","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-makaleler","entry"],"_links":{"self":[{"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/posts\/133","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/comments?post=133"}],"version-history":[{"count":6,"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/posts\/133\/revisions"}],"predecessor-version":[{"id":588,"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/posts\/133\/revisions\/588"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/media\/264"}],"wp:attachment":[{"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/media?parent=133"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/categories?post=133"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hasansaygin.com\/tr\/wp-json\/wp\/v2\/tags?post=133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}