{"id":553086,"date":"2018-11-21T05:04:43","date_gmt":"2018-11-21T09:04:43","guid":{"rendered":"https:\/\/ntrs.nasa.gov\/search.jsp?R=20180007755"},"modified":"2018-11-21T05:04:43","modified_gmt":"2018-11-21T09:04:43","slug":"quantifying-shortcomings-in-the-2-d-pc-calculation","status":"publish","type":"post","link":"https:\/\/spaceweekly.com\/?p=553086","title":{"rendered":"Quantifying Shortcomings in the 2-D Pc Calculation"},"content":{"rendered":"<p>Abstract: The probability of collision, Pc, between two Earth-orbiting satellites can often, but not always, be approximated adequately using the &#8220;2D-Pc&#8221; formulation. The objective is to find a set of &#8220;boundary conditions&#8221; that ensure the 2D-Pc approximation be sufficiently accurate, so that it may be determined when computationally-intensive Brute Force Monte Carlo1 (BFMC) Pc estimates are required. We critically examine the assumptions used in the formulation of the 2D-Pc approximation and then formu&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Abstract: The probability of collision, Pc, between two Earth-orbiting satellites can often, but not always, be approximated adequately using the &#8220;2D-Pc&#8221; formulation. The objective is to find a set of &#8220;boundary conditions&#8221; that ensure the 2D-Pc approxi&#8230;<\/p>\n","protected":false},"author":60,"featured_media":615444,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-553086","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts\/553086","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/users\/60"}],"replies":[{"embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=553086"}],"version-history":[{"count":1,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts\/553086\/revisions"}],"predecessor-version":[{"id":553087,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts\/553086\/revisions\/553087"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/media\/615444"}],"wp:attachment":[{"href":"https:\/\/spaceweekly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=553086"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=553086"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=553086"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}