{"id":356279,"date":"2017-01-20T03:00:00","date_gmt":"2017-01-20T00:00:00","guid":{"rendered":"https:\/\/www.fyysika.ee\/?guid=d116ee825efaf1d50096f020571e7796"},"modified":"2017-01-20T03:00:00","modified_gmt":"2017-01-20T00:00:00","slug":"fast-converging-exact-power-series-for-the-time-and-period-of-the-simple-pendulum-2","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=356279","title":{"rendered":"Fast converging exact power series for the time and period of the simple pendulum"},"content":{"rendered":"<p>A time explicit fast converging exact power series solution to the pendulum equation is derived in<br \/>\nthis paper. A novel series for the period results from it. The approximate formula that comprises<br \/>\nthe first three terms gives an accuracy of 99.99% up to the amplitude of 90\u00b0. The accuracy was<br \/>\ncompared with that of 11 other approximate period formulas.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A time explicit fast converging exact power series solution to the pendulum equation is derived in<br \/>\nthis paper. A novel series for the period results from it. The approximate formula that comprises<br \/>\nthe first three terms gives an accuracy of 99.99% up &#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-356279","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/356279","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=356279"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/356279\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=356279"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=356279"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=356279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}