{"id":318,"date":"2015-08-19T14:12:33","date_gmt":"2015-08-19T11:12:33","guid":{"rendered":"http:\/\/denizcisin.com\/?p=318"},"modified":"2015-08-19T14:12:33","modified_gmt":"2015-08-19T11:12:33","slug":"duzlem-seyir-formuller","status":"publish","type":"post","link":"https:\/\/denizcisin.com\/index.php\/2015\/08\/19\/duzlem-seyir-formuller\/","title":{"rendered":"D\u00fczlem Seyir Form\u00fcller"},"content":{"rendered":"<h4><span style=\"color: #000000;\"><strong>Tan\u0131m<\/strong><\/span><\/h4>\n<ul>\n<li>\n<h4><span style=\"color: #000000;\"><strong>D\u00fczlem<\/strong>\u00a0\u00fczerinde iki nokta aras\u0131ndaki en k\u0131sa mesafe iki noktay\u0131 birle\u015ftiren do\u011fru par\u00e7as\u0131d\u0131r.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">K\u00fcre \u00fczerinde ise iki nokta aras\u0131ndaki en k\u0131sa mesafe bu iki noktadan ge\u00e7en b\u00fcy\u00fck daire yay\u0131d\u0131r.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Uzun mesafeli seyirlerde ve 60\u00b0 enlemin \u00fczerindeki seyirlerde ve kutup b\u00f6lgelerinde b\u00fcy\u00fck daire\u00a0<strong>seyri<\/strong>\u00a0yap\u0131l\u0131r.<\/span><\/h4>\n<\/li>\n<\/ul>\n<h4><span style=\"color: #000000;\"><strong><em><u>B\u00fcy\u00fck Daire Seyri (great circle sailing):<\/u><\/em><\/strong>\u00a0Yer \u00fczerindeki iki noktay\u0131 birle\u015ftiren b\u00fcy\u00fck daire yay\u0131 \u00fczerinde yap\u0131lan seyir.<\/span><\/h4>\n<h4><span style=\"color: #000000;\"><strong><em><u>B\u00fcy\u00fck Daire Mesafesi (Great-circle distance):<\/u><\/em><\/strong>\u00a0Yer \u00fczerindeki iki noktay\u0131 birle\u015ftiren b\u00fcy\u00fck daire yay\u0131n\u0131n mil cinsinden uzakl\u0131\u011f\u0131.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\"> <strong><br \/>\nGreat Circle Sailing<\/strong><\/span><\/h4>\n<ul>\n<li>\n<h4><span style=\"color: #000000;\"><strong><em><u>Ba\u015flang\u0131\u00e7 Rotas\u0131 (initial course):<\/u><\/em><\/strong><strong>\u00a0Hareket noktas\u0131ndan b\u00fcy\u00fck daire yay\u0131na \u00e7izilen te\u011fetin o noktan\u0131n boylam ile yapt\u0131\u011f\u0131 a\u00e7\u0131d\u0131r. (PFT a\u00e7\u0131s\u0131)<\/strong><\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\"><strong><em><u>Tepe Noktas\u0131 (vertex):<\/u><\/em><\/strong>\u00a0<strong>B\u00fcy\u00fck daire yay\u0131 \u00fczerindeki noktalardan kutba en yak\u0131n olan noktad\u0131r.<\/strong><\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\"><strong><em><u>Biti\u015f Rotas\u0131 (final course):<\/u><\/em><\/strong><strong>Biti\u015f noktas\u0131nda b\u00fcy\u00fck daireye \u00e7izilen te\u011fetin o nokta boylam\u0131 ile yapt\u0131\u011f\u0131 a\u00e7\u0131d\u0131r.Saat yelkovan\u0131 d\u00f6n\u00fc\u015f y\u00f6n\u00fcnde \u00f6l\u00e7\u00fcl\u00fcr.<\/strong><\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\"><strong><em><u>Ara Nokta:<\/u><\/em><\/strong><strong>B\u00fcy\u00fck daire yay\u0131 \u00fczerinde ba\u015flang\u0131\u00e7 noktas\u0131ndan itibaren belli aral\u0131klarla al\u0131nan noktalar.<\/strong><\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\"><strong><em><u>Birle\u015fik B\u00fcy\u00fck Daire\u00a0Seyri\u00a0(Composite sailing):<\/u><\/em><\/strong><strong>\u00a0B\u00fcy\u00fck daire seyrinin bir b\u00f6l\u00fcm\u00fcn\u00fcn enlem\u00a0seyri\u00a0olarak yap\u0131lmas\u0131 halidir.<\/strong><\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\"><strong><em><u>Antipodal Noktalar:<\/u><\/em><\/strong><strong>\u00a0Birbirinden 180\u00ba uzak olan noktalard\u0131r. Bu noktalardan biri bir yar\u0131m k\u00fcrede di\u011feri di\u011fer yar\u0131m k\u00fcrededir.<\/strong><\/span><\/h4>\n<\/li>\n<\/ul>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\"><strong>B\u00fcy\u00fck Daire Yay\u0131n\u0131n \u00d6zellikleri;<\/strong><\/span><\/h4>\n<h4><\/h4>\n<ul>\n<li>\n<h4><span style=\"color: #000000;\">Her b\u00fcy\u00fck daire bir di\u011ferini iki e\u015fit par\u00e7aya b\u00f6ler.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Ekvator d\u0131\u015f\u0131nda b\u00fct\u00fcn b\u00fcy\u00fck dairelerin yar\u0131s\u0131 Kuzey di\u011fer yar\u0131s\u0131 da G\u00fcney yar\u0131mk\u00fcrededir.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Kuzey ve G\u00fcney yar\u0131mk\u00fcredeki b\u00fcy\u00fck daire yaylar\u0131n\u0131n tepesi kutba yak\u0131n olup, ekvatora bakarlar.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">\u0130ki mevkii birbirlerinden 180\u00ba uzakta de\u011fil ise bu iki nokta aras\u0131nda sadece bir (1) adet b\u00fcy\u00fck daire yay\u0131 vard\u0131r.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Verteks noktas\u0131ndan ge\u00e7en enlem b\u00fcy\u00fck daire yay\u0131na te\u011fettir.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Verteks noktas\u0131ndan e\u015fit uzakl\u0131ktaki boylamlar\u0131n b\u00fcy\u00fck daire yay\u0131n\u0131 kesti\u011fi noktalar\u0131n enlemleri ayn\u0131d\u0131r.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Verteks noktalar\u0131n\u0131n enlemleri ayn\u0131 i\u015faretleri terstir.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Antipodal iki nokta aras\u0131ndaki b\u00fcy\u00fck daire seyrinde iki b\u00fcy\u00fck daire yay\u0131 vard\u0131r. Ekvator bu iki yay\u0131 e\u015fit iki par\u00e7aya b\u00f6ler. Bu durumda iki vertex noktas\u0131 vard\u0131r.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\"><em>***Verteks noktas\u0131 her zaman ba\u015flang\u0131\u00e7 ve biti\u015f noktalar\u0131 aras\u0131nda bulunmaz.Ba\u015flang\u0131\u00e7 veya biti\u015f rota a\u00e7\u0131lar\u0131ndan biri 90\u00ba\u2019den b\u00fcy\u00fck ise verteks noktas\u0131 b\u00fcy\u00fck a\u00e7\u0131 taraf\u0131nda ve b\u00fcy\u00fck daire yay\u0131 uzant\u0131s\u0131 \u00fcst\u00fcnde bulunur.<\/em><\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Verteks noktas\u0131 iki nokta aras\u0131nda ise b\u00fcy\u00fck daire\u00a0<strong>seyri<\/strong>\u00a0mesafesi ile\u00a0<strong>d\u00fczlem<\/strong>\u00a0<strong>seyri<\/strong>\u00a0mesafesi farkl\u0131 olur.Verteks noktas\u0131 iki nokta d\u0131\u015f\u0131nda ise fark az olur<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Meridyen seyrine yak\u0131n seyirlerde ve ekvator \u00fczerinde yap\u0131lan seyirlerde b\u00fcy\u00fck daire\u00a0<strong>seyri<\/strong>\u00a0ile\u00a0<strong>d\u00fczlem<\/strong>\u00a0<strong>seyri<\/strong>\u00a0aras\u0131nda fark fazla olur.<\/span><\/h4>\n<\/li>\n<\/ul>\n<h4><span style=\"color: #000000;\"><strong>Ayr\u0131nt\u0131l\u0131 Anlat\u0131m<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"> <a style=\"color: #000000;\" href=\"http:\/\/www.denizcilikfakultesi.com\/redirect-to\/?redirect=http%3A%2F%2Fwww.scribd.com%2Fdoc%2F75998131%2FHo-229-%25C4%25B0LE-BUYUK-DA%25C4%25B0RE-SEYR%25C4%25B0-COZUMLER%25C4%25B0\">Ho 229 \u0130LE B\u00dcY\u00dcK DA\u0130RE SEYR\u0130 \u00c7\u00d6Z\u00dcMLER\u0130<\/a><\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\"><strong>Y\u00f6ntemleri:<\/strong><\/span><\/h4>\n<h4><span style=\"color: #000000;\">Gnomonik ve Lambert Haritalar\u0131yla\u00a0Markator Haritas\u0131yla\u00a0<\/span><\/h4>\n<h4><span style=\"color: #000000;\">Davies Form\u00fclleriyle\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> Napier Form\u00fclleriyle\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> HO229 Cetvelleriyle\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> HO211 Cetvelleriyle\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> HO214 Cetvelleriyle\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> Towson B\u00fcy\u00fck Daire Cetveli ve Diagram\u0131yla\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> Norie\u2019s Tables ile<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">60\u00ba enleminin alt\u0131nda 600 milden k\u0131sa seyirlerde b\u00fcy\u00fck daire\u00a0<strong>seyri<\/strong>,\u00a0<strong>d\u00fczlem<\/strong>\u00a0seyrinden mesafe olarak %1 k\u0131sad\u0131r.<\/span><\/h4>\n<h4><\/h4>\n<ul>\n<li>\n<h4><span style=\"color: #000000;\">B\u00fcy\u00fck daire\u00a0<strong>seyri<\/strong>\u00a0ile\u00a0<strong>d\u00fczlem<\/strong>\u00a0<strong>seyri<\/strong>\u00a0aras\u0131ndaki mesafe fark\u0131, en \u00e7ok y\u00fcksek enlemlerdeki dlat de\u011feri k\u00fc\u00e7\u00fck olan iki nokta aras\u0131nda g\u00f6r\u00fcl\u00fcr.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Antipodal iki nokta aras\u0131ndaki b\u00fcy\u00fck daire izlerindeki verteks noktalar\u0131ndan birinin mevkii bilindi\u011fi takdirde izin ekvatoru kesti\u011fi noktan\u0131n long\u2019u 90\u00ba farkl\u0131d\u0131r. Ayn\u0131 \u015fekilde bir verteks noktas\u0131 koordinatlar\u0131 biliniyorsa di\u011feri kolayca bulunur. Lat\u2019lar ayn\u0131 i\u015faretleri ters, long\u2019lar 180\u00ba farkl\u0131d\u0131r.<\/span><\/h4>\n<\/li>\n<\/ul>\n<h4>\n<span style=\"color: #000000;\"> <strong>Formul\u00fc &#8211; 1 (Vertex Kullanarak)<\/strong><\/span><\/h4>\n<h4><span style=\"color: #000000;\"><strong>Kalk\u0131\u015f Noktas\u0131 Koordinatlar\u0131 = lat1\u00a0, long1<\/strong><\/span><\/h4>\n<h4><span style=\"color: #000000;\"><strong>Var\u0131\u015f Noktas\u0131 Koordinatlar\u0131 = lat2\u00a0, long2<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"> <strong>Verteks Noktas\u0131 Koordinatlar\u0131 = latv\u00a0, longv<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"> <strong>Ara Nokta Koordinatlar\u0131 = latx\u00a0, longx<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"> <strong>ln Co = Kalk\u0131\u015f Noktas\u0131<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"> <strong>Fin Co = Var\u0131\u015f Noktas\u0131<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"> <strong>D veya Dist = Mesafe<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"> <strong>Dv\u00a0= Mesafe Verteks<\/strong><\/span><\/h4>\n<h4><span style=\"color: #000000;\"><strong>Dlongxv\u00a0=\u00a0<\/strong>verteks noktas\u0131 ile ara nokta dlong\u2019u<\/span><\/p>\n<p><span style=\"color: #000000;\"> <strong>Bu y\u00f6ntemle a\u015fa\u011f\u0131daki form\u00fcller kullan\u0131larak ba\u015flang\u0131\u00e7 ve biti\u015f rota a\u00e7\u0131lar\u0131, verteks ve ara nokta koordinatlar\u0131 ve mesafeler bulunur.<\/strong><\/span><\/h4>\n<ul>\n<li>\n<h4><span style=\"color: #000000;\">D = 60 x Cos-1[( Sin lat1 x Sin lat2 ) + ( Coslat1 x Cos lat2 x Cos dlong)]<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">D = 60 x Cos-1[ &#8211; ( Sin lat1 x Sin lat2 ) + ( Coslat1 x Cos lat2 x Cos dlong)] (L1 ve L2\u2019nin i\u015faretleri ters ise)<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">In Co = Cos-1 (1 &#8211; [ ( Cos ( D~Colat1 ) \u2013 Cos Colat2 ) \/ (Cos lat1 x Sin D) ] )<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Fin Co = Cos-1 [ [ sin lat1 \u2013 (Sin lat2 x Sin D)] \/ (Cos lat2 x Cos D)]<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Latv = Cos-1( Cos lat1 x Sin ln Co )<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Dlongv = Sin-1 ( Cos ln Co \/ Sinlatv )<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Dv = 60 x Sin-1 ( Cos lat1 x Sin dlongv )<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Ara Noktalar i\u00e7in dlongvx = longv \u2013 longx<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Ara Nokta latx = tg-1( Cos dlongvx x tg latv )<\/span><\/h4>\n<\/li>\n<\/ul>\n<h4><span style=\"color: #000000;\">* Bu form\u00fcller hesap makinesi ile \u00e7\u00f6z\u00fclebilir<\/span><\/h4>\n<h4><span style=\"color: #000000;\">* Cetvel kullan\u0131ld\u0131\u011f\u0131 takdirde Sin-1 Cos-1 yerine ark\u0131 olan aksi tarafta sin, cos al\u0131nmal\u0131d\u0131r.<\/span><br \/>\n<span style=\"color: #000000;\"> * lnCo\u2019nun 90\u00ba veya 270\u00ba olmas\u0131 durumunda latv \u2018nin say\u0131sal de\u011feri lat1 ve lat2\u2018den b\u00fcy\u00fck veya e\u015fit olabilir.<\/span><br \/>\n<span style=\"color: #000000;\"> * Lat1\u2019e yak\u0131n verteksin i\u015fareti lat1\u2018in i\u015fareti olur.<\/span><br \/>\n<span style=\"color: #000000;\"> * Ara noktalar ne kadar s\u0131k olursa o derece b\u00fcy\u00fck daire izine yak\u0131n seyir yap\u0131lm\u0131\u015f olur.<\/span><br \/>\n<span style=\"color: #000000;\"> * lnCo veya FinCo 90\u00b0\u2019den b\u00fcy\u00fck ise verteks noktas\u0131 kalk\u0131\u015f ve var\u0131\u015f noktalar\u0131n\u0131 birle\u015ftiren yay\u0131n d\u0131\u015f\u0131nda ve 90\u00b0 a\u00e7\u0131 taraf\u0131nda olur.<\/span><\/h4>\n<ul>\n<li>\n<h4><span style=\"color: #000000;\">B\u00fcy\u00fck daire seyirlerinde baz\u0131 olumsuz ko\u015fullar nedeniyle y\u00fcksek enlemlere \u00e7\u0131k\u0131lmak istenilmiyorsa bu takdirde b\u00fcy\u00fck daire rotas\u0131n\u0131n y\u00fcksek enlemlere gelen k\u0131sm\u0131nda\u00a0<strong>d\u00fczlem<\/strong>\u00a0<strong>seyri<\/strong>\u00a0yap\u0131l\u0131r. Bu \u015fekilde yap\u0131lan seyire Composite Great Circle Sailing (Kompozayt seyir) denir.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Temelde k\u00fcresel trigonometriden faydalan\u0131lmas\u0131na ra\u011fmen B\u00fcy\u00fck daire seyrinden farkl\u0131 \u00e7\u00f6z\u00fcmlemeler kullan\u0131l\u0131r.<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000000;\">Bunun nedeni \u00e7\u00f6z\u00fcm\u00fcn daha basit\u00e7e ger\u00e7ekle\u015ftirilmesinden ba\u015fka bir \u015fey de\u011fildir.<\/span><\/h4>\n<\/li>\n<\/ul>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">A = kalk\u0131\u015f noktas\u0131\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> B = var\u0131\u015f noktas\u0131\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> AP = ColatA\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> BP = ColatB<\/span><br \/>\n<span style=\"color: #000000;\"> V1 = AV1 in verteksi\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> V2 = BV2 nin verteksi\u00a0<\/span><br \/>\n<span style=\"color: #000000;\"> V1V2 = limit enlem<\/span><br \/>\n<span style=\"color: #000000;\"> PV1 = PV2 = Colatlimitlat (LL)<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">Bilinenler; A ; B ; V1 ve V2 enlemleri ; PA ; PB ; PV1 ; PV2<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">PAV1 \u00fc\u00e7geninde ; Sin A = Sin PV1 . Cosec PA (In Co de\u011feri i\u00e7in)<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">Cos AV1 = Cos PA . Sec PV1 (dist. De\u011feri i\u00e7in)<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">Cos P1 = tan PV . Cotan PA<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">PBV2 \u00fc\u00e7geninde ; Cos BV2 = Cos PB . Sec PV2 (dist. De\u011feri i\u00e7in)<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">Cos P2 = tan PV . Cotan PB<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">\u0130lave olarak enlem seyrinden dep = dlong . Cos Lat<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">A\u00e7\u0131 farklar\u0131ndan V1V2 dlong = dlongAB \u2013 P1 \u2013 P2<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">X noktalar\u0131 i\u00e7in de; Cotan PX = Cos P . Cotan PV<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">ve Cos X = Cos PV . Sin P<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\"><strong>Form\u00fcl &#8211; 2 ( D\u00fcnya Yar\u0131 \u00e7ap\u0131 kullan\u0131larak) Haversine Formul\u00fc olarak Bilinir.<\/strong><\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000000;\">R = earth\u2019s radius (mean radius = 6,371km)<\/span><\/h4>\n<h4><span style=\"color: #000000;\">\u0394lat = lat2\u2212 lat1<\/span><\/h4>\n<h4><span style=\"color: #000000;\">\u0394long = long2\u2212 long1<\/span><\/h4>\n<h4><span style=\"color: #000000;\">a = sin\u00b2(\u0394lat\/2) + cos(lat1).cos(lat2).sin\u00b2(\u0394long\/2)<\/span><\/h4>\n<h4><span style=\"color: #000000;\">c = 2.atan2(\u221aa, \u221a(1\u2212a))<\/span><\/h4>\n<h4><span style=\"color: #000000;\">d = R.c<\/span><\/h4>\n<h4>\n<span style=\"color: #000000;\"> <em>Trigonometri fonksiyonundan ge\u00e7mesi i\u00e7in a\u00e7\u0131lar radyan olacakt\u0131r.<\/em><\/span><br \/>\n<span style=\"color: #000000;\"> <em>B\u00f6ylece aradaki mesafe bulunur.<\/em><\/span><br \/>\n<span style=\"color: #000000;\"> <em>d= Distance=Mesafe<\/em><\/span><\/h4>\n<h4><span style=\"color: #000000;\"><strong><em>Form\u00fcl &#8211; 3 ( D\u00fcnya Yar\u0131 \u00e7ap\u0131 kullan\u0131larak) Spherical Cosin\u00fcs Kanunu (<\/em><\/strong><em>Spherical law of cosines)<strong>\u00a0Formul\u00fc olarak Bilinir.<\/strong><\/em><\/span><\/h4>\n<h4><span style=\"color: #000000;\">d = acos(sin(lat1).sin(lat2)+cos(lat1).cos(lat2).cos(l ong2\u2212long1)).R<\/span><br \/>\n<span style=\"color: #000000;\"> <em>B\u00f6ylece aradaki mesafe bulunur.<\/em><\/span><br \/>\n<span style=\"color: #000000;\"> <em>d= Distance=Mesafe<\/em><\/span><\/p>\n<p><span style=\"color: #000000;\"> <strong><em>Formul &#8211; 3 Rota Bulmak<\/em><\/strong><\/span><br \/>\n<span style=\"color: #000000;\"> <em>\u03b8 =atan2(sin(\u0394long).cos(lat2),cos(lat1).sin(lat2) \u2212 sin(lat1).cos(lat2).cos(\u0394long) )<\/em><\/span><br \/>\n<span style=\"color: #000000;\"> <em>+ &#8211; 180 Derece kullan\u0131larak, y\u00f6n de\u011fi\u015ftirilebilir.<\/em><\/span><\/p>\n<p><span style=\"color: #000000;\"> <strong><em>T\u00fcm i\u015flemler i\u00e7in Kullan\u0131lacak Her Derece ve Radyan Sinus Cosinus ve Tanjant Tablosu:<\/em><\/strong><\/span><br \/>\n<span style=\"color: #000000;\"> <a style=\"color: #000000;\" href=\"http:\/\/www.matematiktutkusu.com\/extra\/tri.html\">http:\/\/www.matematiktutkusu.com\/extra\/tri.html<\/a><\/span><\/h4>\n<h4><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>Tan\u0131m D\u00fczlem\u00a0\u00fczerinde iki nokta aras\u0131ndaki en k\u0131sa mesafe iki noktay\u0131 birle\u015ftiren do\u011fru par\u00e7as\u0131d\u0131r. K\u00fcre \u00fczerinde ise iki nokta aras\u0131ndaki en k\u0131sa mesafe bu iki noktadan ge\u00e7en b\u00fcy\u00fck daire yay\u0131d\u0131r. Uzun mesafeli seyirlerde ve 60\u00b0 enlemin \u00fczerindeki seyirlerde ve kutup b\u00f6lgelerinde b\u00fcy\u00fck daire\u00a0seyri\u00a0yap\u0131l\u0131r. B\u00fcy\u00fck Daire Seyri (great circle sailing):\u00a0Yer \u00fczerindeki iki noktay\u0131 birle\u015ftiren b\u00fcy\u00fck daire yay\u0131 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":319,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[16],"tags":[67,64,110],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/posts\/318"}],"collection":[{"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/comments?post=318"}],"version-history":[{"count":1,"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/posts\/318\/revisions"}],"predecessor-version":[{"id":320,"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/posts\/318\/revisions\/320"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/media\/319"}],"wp:attachment":[{"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/media?parent=318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/categories?post=318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/denizcisin.com\/index.php\/wp-json\/wp\/v2\/tags?post=318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}