{"id":221965,"date":"2016-05-16T02:00:00","date_gmt":"2016-05-15T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=21e3eba6820308a75a2591c6cfb7bae3"},"modified":"2016-05-16T02:00:00","modified_gmt":"2016-05-15T23:00:00","slug":"satellite-splat-ii-an-inelastic-collision-with-a-surface-launched-projectile-and-the-maximumorbital-radius-for-planetary-impact","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=221965","title":{"rendered":"Satellite splat II: an inelastic collision with a surface-launched projectile and the maximum\r\norbital radius for planetary impact"},"content":{"rendered":"<p>Starting with conservation of energy and angular momentum, we derive a convenient method for<br \/>\ndetermining the periapsis distance of an orbiting object, by expressing its velocity components in<br \/>\nterms of the local circular speed. This relation is used to extend the results of our previous<br \/>\npaper, examining the effects of an adhesive inelastic collision between a projectile launched from<br \/>\nthe surface of a planet (of radius R ) and an equal-mass satellite in a circular orbit of radius r s<br \/>\n. We show that there is a maximum orbital radius r s \u2248 18.9 R beyond which such a collision cannot<br \/>\ncause the satellite to impact the planet. The difficulty of bringing down a satellite in a high<br \/>\norbit with a surface-launched projectile provides a useful topic for a discussion of orbital angular<br \/>\nmomentum and energy. The material is suitable for an undergraduate intermediate mechanics course.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Starting with conservation of energy and angular momentum, we derive a convenient method for<br \/>\ndetermining the periapsis distance of an orbiting object, by expressing its velocity components in<br \/>\nterms of the local circular speed. This relation is used t&#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-221965","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\/221965","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=221965"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/221965\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=221965"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=221965"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=221965"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}