{"id":51,"date":"2019-02-13T18:18:12","date_gmt":"2019-02-13T18:18:12","guid":{"rendered":"http:\/\/tutorials.retopall.com\/?p=51"},"modified":"2019-03-26T18:31:34","modified_gmt":"2019-03-26T18:31:34","slug":"planet-orbiting","status":"publish","type":"post","link":"https:\/\/tutorials.retopall.com\/index.php\/2019\/02\/13\/planet-orbiting\/","title":{"rendered":"Planet orbiting"},"content":{"rendered":"\n<p>Every entity in the universe have an special force that depend on the Universal Gravitational Law. I have created a 3D Simulation in Unity 3D where you can watch the interaction between different mass objects and the elliptical and parabollic trayectories they made. <\/p>\n\n\n\n<p>The elliptical trayectory can be dercibed here. The Sun is in one of the two focus of the ellipse.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/tutorials.retopall.com\/wp-content\/uploads\/2019\/03\/Gravity.png\" alt=\"\" class=\"wp-image-482\" width=\"279\" height=\"103\" srcset=\"https:\/\/tutorials.retopall.com\/wp-content\/uploads\/2019\/03\/Gravity.png 401w, https:\/\/tutorials.retopall.com\/wp-content\/uploads\/2019\/03\/Gravity-300x111.png 300w\" sizes=\"auto, (max-width: 279px) 100vw, 279px\" \/><\/figure><\/div>\n\n\n\n<p>The formula for the gravitational force is:<\/p>\n\n\n\n<p>\\[\\vec{Fg}=-G\\frac{m_1m_2}{r^2}\\vec{u_r}\\]<\/p>\n\n\n\n<p>Each entity will suffer the gravitational force of the star. It&#8217;s directly proportional to of their masses and inversively proportional to distance of the star.  The reason why the vectorial formula has a minus sign is because it&#8217;s an attractive force. $u_r$ is the unit vector that connects the star with each planet. $G$ is the gravitational law constant and is $6.67e-11$<\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" width=\"860\" height=\"484\" src=\"https:\/\/www.youtube.com\/embed\/NDA-vo-PAwI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Every entity in the universe have an special force that depend on the Universal Gravitational Law. I have created a 3D Simulation in Unity 3D [&#8230;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23,10,7],"tags":[22],"class_list":["post-51","post","type-post","status-publish","format-standard","hentry","category-physics","category-simulation","category-unity-3d","tag-gravitational-force"],"_links":{"self":[{"href":"https:\/\/tutorials.retopall.com\/index.php\/wp-json\/wp\/v2\/posts\/51","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tutorials.retopall.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tutorials.retopall.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tutorials.retopall.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tutorials.retopall.com\/index.php\/wp-json\/wp\/v2\/comments?post=51"}],"version-history":[{"count":7,"href":"https:\/\/tutorials.retopall.com\/index.php\/wp-json\/wp\/v2\/posts\/51\/revisions"}],"predecessor-version":[{"id":706,"href":"https:\/\/tutorials.retopall.com\/index.php\/wp-json\/wp\/v2\/posts\/51\/revisions\/706"}],"wp:attachment":[{"href":"https:\/\/tutorials.retopall.com\/index.php\/wp-json\/wp\/v2\/media?parent=51"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tutorials.retopall.com\/index.php\/wp-json\/wp\/v2\/categories?post=51"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tutorials.retopall.com\/index.php\/wp-json\/wp\/v2\/tags?post=51"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}