{"id":2997,"date":"2015-01-07T23:03:07","date_gmt":"2015-01-07T22:03:07","guid":{"rendered":"http:\/\/karmaka.de\/?p=2997"},"modified":"2015-01-07T23:04:54","modified_gmt":"2015-01-07T22:04:54","slug":"approximation-by-elementary-functions-for-the-solution-of-meteor-physics-equations-in-russian-%d0%b0%d0%bf%d0%bf%d1%80%d0%be%d0%ba%d1%81%d0%b8%d0%bc%d0%b0%d1%86%d0%b8%d1%8f-%d1%80%d0%b5%d1%88","status":"publish","type":"post","link":"https:\/\/karmaka.de\/?p=2997","title":{"rendered":"Approximation by elementary functions for the solution of meteor physics equations (in Russian) \/ \u0410\u041f\u041f\u0420\u041e\u041a\u0421\u0418\u041c\u0410\u0426\u0418\u042f \u0420\u0415\u0428\u0415\u041d\u0418\u042f \u0423\u0420\u0410\u0412\u041d\u0415\u041d\u0418\u0419 \u041c\u0415\u0422\u0415\u041e\u0420\u041d\u041e\u0419 \u0424\u0418\u0417\u0418\u041a\u0418 \u042d\u041b\u0415\u041c\u0415\u041d\u0422\u0410\u0420\u041d\u042b\u041c\u0418 \u0424\u0423\u041d\u041a\u0426\u0418\u042f\u041c\u0418"},"content":{"rendered":"<p>\u041c.\u0418. \u0413\u0440\u0438\u0446\u0435\u0432\u0438\u0447, \u0412.\u0422. \u041b\u0443\u043a\u0430\u0448\u0435\u043d\u043a\u043e, \u041b.\u0418. \u0422\u0443\u0440\u0447\u0430\u043a<\/p>\n<p>M.I. Gritsevich, V.T. Lukashenko, L.I. Turchak<\/p>\n<p><a href=\"http:\/\/istina.msu.ru\/media\/publications\/article\/4c4\/edb\/6615762\/APPROXIMATION_BY_ELEMENTARY_FUNCTIONS_FOR_THE_SOLUTION_OF_METEOR_PHYSICS_EQUATIONS.doc\" target=\"_blank\"><strong>LINK (DOC)<\/strong><\/a><\/p>\n<div class=\"su-quote su-quote-style-default\"><div class=\"su-quote-inner su-u-clearfix su-u-trim\">In this paper we examine the possibility of approximation by elementary functions for the analytical solution of meteor physics equations, used to describe the trajectory and to evaluate the defining parameters of meteoroids entering the Earth&#8217;s atmosphere. We show the possibility to replace the analytical solution with the concatenation of two elementary functions along one parameter. We provide estimates for the error of the proposed replacement. We investigate the error functional value in the approximation of meteor observational data.<\/div><\/div>\n<div class=\"su-quote su-quote-style-default\"><div class=\"su-quote-inner su-u-clearfix su-u-trim\">\u0412 \u0440\u0430\u0431\u043e\u0442\u0435 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u0430 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u043f\u0440\u0438\u0431\u043b\u0438\u0436\u0435\u043d\u0438\u044f \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f\u043c\u0438 \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043c\u0435\u0442\u0435\u043e\u0440\u043d\u043e\u0439 \u0444\u0438\u0437\u0438\u043a\u0438, \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u0435\u043c\u043e\u0433\u043e \u0434\u043b\u044f \u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u0439 \u0438 \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u044e\u0449\u0438\u0445 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u0432 \u043c\u0435\u0442\u0435\u043e\u0440\u043d\u044b\u0445 \u0442\u0435\u043b, \u0432\u0445\u043e\u0434\u044f\u0449\u0438\u0445 \u0432 \u0430\u0442\u043c\u043e\u0441\u0444\u0435\u0440\u0443 \u0417\u0435\u043c\u043b\u0438. \u041f\u043e\u043a\u0430\u0437\u0430\u043d\u0430 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0437\u0430\u043c\u0435\u043d\u044b \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u043d\u0430 \u0441\u043a\u043b\u0435\u0439\u043a\u0443 \u043f\u043e \u043e\u0434\u043d\u043e\u043c\u0443 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0443 \u0438\u0437 \u0434\u0432\u0443\u0445 \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0430\u0440\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439. \u041f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u044b \u043e\u0446\u0435\u043d\u043a\u0438 \u043f\u043e\u0433\u0440\u0435\u0448\u043d\u043e\u0441\u0442\u0438 \u043f\u0440\u0435\u0434\u043b\u043e\u0436\u0435\u043d\u043d\u043e\u0439 \u0437\u0430\u043c\u0435\u043d\u044b. \u0418\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0430 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u043e\u043d\u0430\u043b\u0430 \u043e\u0448\u0438\u0431\u043a\u0438 \u043f\u0440\u0438 \u0430\u043f\u043f\u0440\u043e\u043a\u0441\u0438\u043c\u0430\u0446\u0438\u0438 \u043c\u0435\u0442\u0435\u043e\u0440\u043d\u044b\u0445 \u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445. \u041a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u0441\u043b\u043e\u0432\u0430: \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044c\u043d\u0430\u044f \u044d\u043a\u0441\u043f\u043e\u043d\u0435\u043d\u0442\u0430, \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0440\u0435\u0448\u0435\u043d\u0438\u0435, \u0430\u043f\u043f\u0440\u043e\u043a\u0441\u0438\u043c\u0430\u0446\u0438\u044f, \u0430\u0442\u043c\u043e\u0441\u0444\u0435\u0440\u043d\u0430\u044f \u0442\u0440\u0430\u0435\u043a\u0442\u043e\u0440\u0438\u044f, \u043c\u0435\u0442\u0435\u043e\u0440, \u0442\u043e\u0440\u043c\u043e\u0436\u0435\u043d\u0438\u0435, \u0430\u0431\u043b\u044f\u0446\u0438\u044f <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041c.\u0418. \u0413\u0440\u0438\u0446\u0435\u0432\u0438\u0447, \u0412.\u0422. \u041b\u0443\u043a\u0430\u0448\u0435\u043d\u043a\u043e, \u041b.\u0418. \u0422\u0443\u0440\u0447\u0430\u043a M.I. Gritsevich, V.T. Lukashenko, L.I. Turchak LINK (DOC)<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[96],"tags":[871,878,879,880,881,877,876,98,141,381,875],"_links":{"self":[{"href":"https:\/\/karmaka.de\/index.php?rest_route=\/wp\/v2\/posts\/2997"}],"collection":[{"href":"https:\/\/karmaka.de\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/karmaka.de\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/karmaka.de\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/karmaka.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2997"}],"version-history":[{"count":3,"href":"https:\/\/karmaka.de\/index.php?rest_route=\/wp\/v2\/posts\/2997\/revisions"}],"predecessor-version":[{"id":3000,"href":"https:\/\/karmaka.de\/index.php?rest_route=\/wp\/v2\/posts\/2997\/revisions\/3000"}],"wp:attachment":[{"href":"https:\/\/karmaka.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2997"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/karmaka.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2997"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/karmaka.de\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}