{"id":642,"date":"2008-05-27T15:59:14","date_gmt":"2008-05-27T15:59:14","guid":{"rendered":"http:\/\/scientopia.org\/blogs\/goodmath\/2008\/05\/27\/mars-probe-parachuting-velocity\/"},"modified":"2008-05-27T15:59:14","modified_gmt":"2008-05-27T15:59:14","slug":"mars-probe-parachuting-velocity","status":"publish","type":"post","link":"http:\/\/www.goodmath.org\/blog\/2008\/05\/27\/mars-probe-parachuting-velocity\/","title":{"rendered":"Mars Probe Parachuting Velocity"},"content":{"rendered":"<p> As you&#8217;ve hopefully all heard by now, the Mars Phoenix lander made a perfect<br \/>\nlanding over the weekend, and is already returning images. NASA managed to not<br \/>\nonly achieve a perfect landing, but to use Mars reconnaissance orbiter to catch a<br \/>\npicture of the Phoenix descending with parachutes deployed!<\/p>\n<p> Alas, NASA&#8217;s Phoenix press people aren&#8217;t nearly as good as its technical people. As an alert reader pointed out, in <a href=\"http:\/\/www.nasa.gov\/mission_pages\/phoenix\/images\/press\/PHX_Lander.html\">their press release<\/a> about capturing<br \/>\nthe photo of the probe with parachute deployed, that they said the following:<\/p>\n<blockquote><p>\nPhoenix released its parachute at an altitude of about 12.6 kilometers (7.8 miles) and a velocity of 1.7 times the speed of sound.\n<\/p><\/blockquote>\n<p> That looks relative innocuous, right? <\/p>\n<p> Wrong.<\/p>\n<p> The statement about velocity is <em>meaningless<\/em>.<\/p>\n<p> The speed of sound isn&#8217;t a constant. It varies, enormously, depending<br \/>\non the medium. In air, its speed is dependent on the chemical makeup of<br \/>\nthe air, and on its density, temperature, and pressure &#8211; among other factors. So what speed of sound are they talking about?<\/p>\n<p> The speed of sound where the probe was entering the Martian atmosphere? That would make sense as a measurement, but be totally uninformative to us back on<br \/>\nearth, since we don&#8217;t know the speed of sound in the upper atmosphere of Mars.<\/p>\n<p> The speed of sound on earth? That would be informative to us &#8211; since we<br \/>\nhave an idea of the speed of sound here, but it wouldn&#8217;t make much sense as a measurement there &#8211; the point of using the speed of sound would seem to<br \/>\nbe related to giving us a sense of the kind of forces acting on the Phoenix<br \/>\nas it decelerates. But the speed of sound on earth doesn&#8217;t tell us that &#8211; because the kind of shock waves we would expect is dependent on the speed of sound in the atmosphere it&#8217;s passing through.<\/p>\n<p> You can talk about speeds compared to the speed of light &#8211; because there&#8217;s a meaningful upper bound &#8211; the speed of light in a vacuum. And that&#8217;s what we usually mean when we talk about the speed of light. But with sound, that&#8217;s not<br \/>\ntrue. The speed of sound can vary quite dramatically in different mediums. It&#8217;s a big enough difference that it&#8217;s part of a common experiment done by<br \/>\nelementary school students! (I can remember doing an experiment in fourth grade science with a wall, where we were measuring when you could hear a rock hit a wall; one person had their ear against the wall; the other was standing a couple of feet away from the wall, and the person with the rock was about 10 feet away. The time difference was noticeable. It was very small &#8211; but distinctly noticeable. The speed of sound in air is 1260 feet per second; so a sound takes roughly 1\/10th of a second  to move 100 feet. The speed of sound in stone is in the range of 21,000 feet per second &#8211; which is virtually instantaneous to a human being at a range of 100 feet. So you&#8217;re looking at a roughly 1\/10th second difference.) <\/p>\n<p> So how fast was the Phoenix moving when it deployed its parachute? I haven&#8217;t<br \/>\na clue. My best guess would be around 580 meters per second &#8211; assuming that<br \/>\nthey were using  the speed of sound in earth atmosphere at standard temperature and pressure. The speed of sound in the Martian atmosphere &#8211; which is quite a lot thinner than earth&#8217;s &#8211; would be slower, so 580 m\/s is a decent upper-bound estimate.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>As you&#8217;ve hopefully all heard by now, the Mars Phoenix lander made a perfect landing over the weekend, and is already returning images. NASA managed to not only achieve a perfect landing, but to use Mars reconnaissance orbiter to catch a picture of the Phoenix descending with parachutes deployed! Alas, NASA&#8217;s Phoenix press people aren&#8217;t [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-642","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4lzZS-am","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts\/642","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/comments?post=642"}],"version-history":[{"count":0,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/posts\/642\/revisions"}],"wp:attachment":[{"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/media?parent=642"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/categories?post=642"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.goodmath.org\/blog\/wp-json\/wp\/v2\/tags?post=642"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}