Minggu, 09 Desember 2018

Arah Kiblat Terkoreksi

Radian ke Derajat : 2 x &#960 = 360o; u (radian) = u&#960/180
Aturan cosinus : Jarak lurus = 1.414 x Jari-Jari Bumi x (1 - Cos(selisih bujur/lintang)o)1/2
Jarak_lurus_lintang = 9005 x (1 - Cos(selisih lintang)o)1/2 kilo meter
Jarak_lurus_bujur = 9020 x cos(lintango) x (1 - Cos(selisih bujur)o)1/2 kilo meter
Arah_kiblat = 360o - atan(jarak_lurus_bujur/jarak_lurus_lintang)
Contoh :
Ka'bah ( 21o 25' 21.09"LU, 39o 52'  36.48"BT ) = ( 21,42o LU, 39,82o BT )
Istiqlal Jakarta ( 6o 10' 17.37" LS, 106o 49' 53.11"BT ) = ( 6,17o LS, 106,83o BT)
Selisih Bujur = 106,83 - 39,82 = 67,01o = 1,1695 radian
Selisih Lintang = 21,42 - (-6,17) = 27,59o = 0,4816 radian
Jarak_lurus_lintang = 9005 x (1 - Cos(selisih lintang)o)1/2 kilo meter
Jarak_lurus_lintang = 9005 x (1 - Cos(0,4816))1/2 kilo meter
Jarak_lurus_lintang = 9005 x (1 - 0.8863)1/2
Jarak_lurus_lintang = 9005 x 0,3373 = 3037 kilo meter
Jarak_lurus_bujur = 9020 x cos(selisih lintango) x (1 - Cos(selisih bujur)o)1/2 kilo meter
Jarak_lurus_bujur = 9020 x cos(0.4816) x (1-Cos(1.1695))1/2
Jarak_lurus_bujur = 9020 x 0.8863 x 0,7806 = 6240 kilo meter
Arah_kiblat = 360o - atan(jarak_lurus_bujur/jarak_lurus_lintang)
Arah_kiblat = 360o - atan(6551/3037) = 360o - 64.05o = 295.9o