{"id":240533,"date":"2016-07-06T02:00:00","date_gmt":"2016-07-05T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=20b3c2db0ed272cc478ec72d3d85a8be"},"modified":"2016-07-06T02:00:00","modified_gmt":"2016-07-05T23:00:00","slug":"symmetry-reduction-for-central-force-problems","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=240533","title":{"rendered":"Symmetry reduction for central force problems"},"content":{"rendered":"<p>We give an elementary illustration of symmetry reduction for central force problems, drawing phase<br \/>\nportraits of the reduced dynamics as the intersection of Casimir and energy level sets in three<br \/>\ndimensions. These systems form a classic example of symplectic reduction which can usefully be<br \/>\ncompared to the more commonly seen case of the free rigid body.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We give an elementary illustration of symmetry reduction for central force problems, drawing phase<br \/>\nportraits of the reduced dynamics as the intersection of Casimir and energy level sets in three<br \/>\ndimensions. These systems form a classic example of sym&#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-240533","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\/240533","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=240533"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/240533\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=240533"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=240533"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=240533"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}