{"id":661,"date":"2012-10-16T16:58:25","date_gmt":"2012-10-16T14:58:25","guid":{"rendered":"http:\/\/www.astrobobo.net\/?p=661"},"modified":"2023-07-12T08:48:11","modified_gmt":"2023-07-12T06:48:11","slug":"kako-izmjeriti-relativnu-velicinu-mjeseca","status":"publish","type":"post","link":"http:\/\/www.astrobobo.net\/?p=661","title":{"rendered":"Kako izmjeriti relativnu veli\u010dinu Mjeseca?"},"content":{"rendered":"<p>Nedavno sam na forum.hr sudjelovao u prili\u010dno glupavoj raspravi koja se ticala tvrdnje o navodnom pove\u0107anju veli\u010dine Mjeseca. Da, kao, Mjesec se na nebu <em>pove\u0107ava<\/em> u odnosu na prije, therefore aliens &amp; smak svijeta. To\u010dno u stilu onog vikanja &#8220;To je vuk, to je vuk!!!&#8221;\u00a0 \ud83d\ude44 bez ikakvih konkretnih dokaza. To me potaknulo da poku\u0161am izmjeriti stvarnu veli\u010dinu Mjeseca sa fotografijom koju sam napravio uz pomo\u0107 <a href=\"http:\/\/www.nikonusa.com\/en\/Nikon-Products\/Product\/Digital-SLR-Cameras\/25478\/D5100.html\" target=\"_blank\" rel=\"noopener\">Nikon D5100<\/a> fotoaparata i objektiva od <a href=\"http:\/\/www.mir.com.my\/rb\/photography\/companies\/nikon\/nikkoresources\/180200mmnikkor\/180mm.htm\" target=\"_blank\" rel=\"noopener\">180mm \u017eari\u0161ne duljine<\/a>.<\/p>\n<h2>Test fotografija<\/h2>\n<p>Snimio sam ovu fotografiju koju mo\u017eete slobodno downloadati i sami probati napraviti prora\u010dun:<\/p>\n<p><a href=\"http:\/\/www.astrobobo.net\/wordpress\/wp-content\/uploads\/2012\/10\/DSC9758.jpg\"><img fetchpriority=\"high\" decoding=\"async\" data-attachment-id=\"655\" data-permalink=\"http:\/\/www.astrobobo.net\/?attachment_id=655\" data-orig-file=\"http:\/\/www.astrobobo.net\/wordpress\/wp-content\/uploads\/2012\/10\/DSC9758.jpg\" data-orig-size=\"4928,3264\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;NIKON D5100&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1348431306&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;400&quot;,&quot;shutter_speed&quot;:&quot;0.004&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"_DSC9758\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"http:\/\/www.astrobobo.net\/wordpress\/wp-content\/uploads\/2012\/10\/DSC9758-1024x678.jpg\" class=\"aligncenter wp-image-655 size-large\" title=\"_DSC9758\" src=\"http:\/\/www.astrobobo.net\/wordpress\/wp-content\/uploads\/2012\/10\/DSC9758-1024x678.jpg\" alt=\"\" width=\"1024\" height=\"678\" srcset=\"http:\/\/www.astrobobo.net\/wordpress\/wp-content\/uploads\/2012\/10\/DSC9758-1024x678.jpg 1024w, http:\/\/www.astrobobo.net\/wordpress\/wp-content\/uploads\/2012\/10\/DSC9758-300x198.jpg 300w, http:\/\/www.astrobobo.net\/wordpress\/wp-content\/uploads\/2012\/10\/DSC9758-452x300.jpg 452w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><\/p>\n<p>Da, Mjesec i nije prevelik na toj \u017eari\u0161noj duljini, ali ipak dovoljno da bi mogli ne\u0161to izra\u010dunati.<\/p>\n<h2>Kako ra\u010dunati?<\/h2>\n<p>Prvo sam iz gore navedenog linka prona\u0161ao podatak da 180mm objektiv ima vidno polje od 13.6667\u00b0 (prera\u010dunao sam sekunde u decimalne vrijednosti). D5100 ima senzor sa crop faktorom 1.5x pa na njemu dijagonala iznosi 9.111\u00b0. Rezolucija senzora je 4,928 x 3,264 piksela (\u0161to mo\u017eete i sami vidjeti). Po dijagonali je to 5911 piksela. Ra\u010dunao sam uz pomo\u0107  jer sam lijen to raditi ru\u010dno \ud83d\ude0e \u00a0To je potrebno saznati kako bi izra\u010dunao koliko jedan piksel zauzima stupnjeva vidnog polja. Kad se podijele stupnjevi sa pikselima (4928 \/ 9.111) rezultat je 0.001541 stupnja po pikselu. Promjer Mjeseca na fotki je 352 piksela pa kad se to pomno\u017ei dobije se promjer Mjeseca 0.54\u00b0. <a href=\"http:\/\/en.wikipedia.org\/wiki\/File:Comparison_angular_diameter_solar_system.svg\" target=\"_blank\" rel=\"noopener\">Wikipedia ka\u017ee<\/a> da\u00a0prividna veli\u010dina Mjeseca varira od 29.4&#8242; do 33.5&#8242;, dakle treba pretvoriti stupnjeve u minute. Za one koji su spavali u \u0161koli, jedan stupanj ima 60 minuta i kad se 0.54\u00b0 pomno\u017ei sa 60 dobije se promjer od\u00a0<strong>32,54 lu\u010dne minute<\/strong>.<\/p>\n<p>Zna\u010di, uhvatio sam Mjesec dok je bio relativno blizu Zemlji u svojoj lagano elipti\u010dnoj putanji. Da li je to nekakva anomalija? Koliko vidim, vrijednost uredno pada u normalne vrijednosti. Sorry, ni\u0161ta od smaka svijeta \ud83d\ude00<\/p>\n<h2>Kakva korist od toga?<\/h2>\n<p>Eksperiment je jednostavan i biti \u0107e zabavan projekt za \u0161kolarce ili obitelj ako poku\u0161ate bilje\u017eiti promjenu veli\u010dine Mjeseca iz dana u dan. Putanja Mjeseca oko Zemlje je lagano elipti\u010dna i zato postoje manle razlike u prividnoj veli\u010dini. Zgodno za isprobati kada bude jo\u0161 jedan od onih superMjeseca!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nedavno sam na forum.hr sudjelovao u prili\u010dno glupavoj raspravi koja se ticala tvrdnje o navodnom pove\u0107anju veli\u010dine Mjeseca. Da, kao, Mjesec se na nebu pove\u0107ava u odnosu na prije, therefore aliens &amp; smak svijeta. To\u010dno u stilu onog vikanja &#8220;To je vuk, to je vuk!!!&#8221;\u00a0 \ud83d\ude44 bez ikakvih konkretnih dokaza. To me potaknulo da poku\u0161am [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1838,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"gallery","meta":{"_acf_changed":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[120],"tags":[],"class_list":["post-661","post","type-post","status-publish","format-gallery","has-post-thumbnail","hentry","category-prakticna-astronomija","post_format-post-format-gallery"],"acf":[],"aioseo_notices":[],"jetpack_featured_media_url":"http:\/\/www.astrobobo.net\/wordpress\/wp-content\/uploads\/2009\/11\/2017-04-02_Mak127-D5100_obrada_mala.jpg","jetpack_sharing_enabled":true,"amp_enabled":true,"_links":{"self":[{"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=\/wp\/v2\/posts\/661","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=661"}],"version-history":[{"count":9,"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=\/wp\/v2\/posts\/661\/revisions"}],"predecessor-version":[{"id":3362,"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=\/wp\/v2\/posts\/661\/revisions\/3362"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=\/wp\/v2\/media\/1838"}],"wp:attachment":[{"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=661"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=661"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.astrobobo.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=661"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}