{"id":580597,"date":"2019-02-01T12:00:41","date_gmt":"2019-02-01T16:00:41","guid":{"rendered":"https:\/\/ntrs.nasa.gov\/search.jsp?R=20190000312"},"modified":"2019-02-01T12:00:41","modified_gmt":"2019-02-01T16:00:41","slug":"symmetric-equations-on-the-surface-of-a-sphere-as-used-by-model-gissib","status":"publish","type":"post","link":"https:\/\/spaceweekly.com\/?p=580597","title":{"rendered":"Symmetric Equations on the Surface of a Sphere as Used by Model GISS:IB"},"content":{"rendered":"<p>Abstract: Standard vector calculus formulas of Cartesian three space are projected onto the surface of a sphere. This produces symmetric equations with three nonindependent horizontal velocity components. Each orthogonal axis has a velocity component that rotates around its axis (eastward velocity rotates around the north\u2013south axis) and a specific angular momentum component that is the product of the velocity component multiplied by the cosine of axis\u2019 latitude. Angular momentum components align with &#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Abstract: Standard vector calculus formulas of Cartesian three space are projected onto the surface of a sphere. This produces symmetric equations with three nonindependent horizontal velocity components. Each orthogonal axis has a velocity component that rotates around its axis (eastward velocity rotates around the north&ndash;south axis) and a specific angular momentum component that is the product of the velocity component multiplied by the cosine of axis&rsquo; latitude. Angular momentum components align with &#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-580597","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts\/580597","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=580597"}],"version-history":[{"count":1,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts\/580597\/revisions"}],"predecessor-version":[{"id":580598,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts\/580597\/revisions\/580598"}],"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=580597"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=580597"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=580597"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}