{"id":11756,"date":"2015-09-21T14:42:08","date_gmt":"2015-09-21T21:42:08","guid":{"rendered":"http:\/\/planets.ucla.edu\/?p=11756"},"modified":"2021-01-18T01:33:53","modified_gmt":"2021-01-18T09:33:53","slug":"112015malhotra","status":"publish","type":"post","link":"http:\/\/planets.ucla.edu\/?p=11756","title":{"rendered":"November 20, 2015: Two studies in planetary dynamics: (i) Impact seasons on Mars, (ii) The mass function of planets in the Galaxy"},"content":{"rendered":"<p>I will present results of new calculations of the asteroidal impact flux on Mars.\u00a0 Mars&#8217; orbit is significantly eccentric and the planet orbits near the inner edge of the asteroid belt where the space density of asteroids has a large radial gradient.\u00a0 The correlated secular dynamics of Mars and the asteroids plays a significant role in modulating the impact flux on this planet.\u00a0 At the present epoch, this leads to a large variation &#8212; of about a factor of three &#8212; in the impact flux when Mars is near aphelion versus perihelion; significantly, the integrated annual impact flux is lower than would be expected in the absence of correlated secular dynamics.<\/p>\n<p>The second part of the talk will describe some deductions about the planet mass function from the observational data of exoplanets and theoretical considerations of planetary dynamics.\u00a0 I will describe analysis of the observational data from the Kepler space mission which indicates that planetary orbital separations have an approximately log-normal distribution.\u00a0 Adopting some plausible ansatzs for the dynamical stability of N-planet systems to relate orbital separations to planet masses, it appears that the planet mass function is peaked in logarithm of mass, with the most probable value of log m\/M\u2295 \u223c (0.6 \u2212 1.0); a modest extrapolation indicates that Earth mass planets are about ~1000 times more common than Jupiter mass planets.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I will present results of new calculations of the asteroidal impact flux on Mars.\u00a0 Mars&#8217; orbit is significantly eccentric and the planet orbits near the inner edge of the asteroid belt where the space density of asteroids has a large radial gradient.\u00a0 The correlated secular dynamics of Mars and the asteroids plays a significant role &hellip; <\/p>\n<p class=\"link-more\"><a href=\"http:\/\/planets.ucla.edu\/?p=11756\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;November 20, 2015: Two studies in planetary dynamics: (i) Impact seasons on Mars, (ii) The mass function of planets in the Galaxy&#8221;<\/span><\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[256],"tags":[],"class_list":["post-11756","post","type-post","status-publish","format-standard","hentry","category-colloquia"],"_links":{"self":[{"href":"http:\/\/planets.ucla.edu\/index.php?rest_route=\/wp\/v2\/posts\/11756","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/planets.ucla.edu\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/planets.ucla.edu\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/planets.ucla.edu\/index.php?rest_route=\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"http:\/\/planets.ucla.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11756"}],"version-history":[{"count":1,"href":"http:\/\/planets.ucla.edu\/index.php?rest_route=\/wp\/v2\/posts\/11756\/revisions"}],"predecessor-version":[{"id":11757,"href":"http:\/\/planets.ucla.edu\/index.php?rest_route=\/wp\/v2\/posts\/11756\/revisions\/11757"}],"wp:attachment":[{"href":"http:\/\/planets.ucla.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11756"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/planets.ucla.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11756"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/planets.ucla.edu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11756"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}