DISTANCE COMPUTING FORM, ANDOYER-LAMBERT APPROXIMATION 



(No conversion to parametric latitudes) 



Clarke Spheroid 1866 a = 6,378,206.4 meters 



f/2 = 0.00169503765, f/4 = 0.000847518825 



1 radian = 206,264.8062 seconds 



o I II xn ' ' o I II 



.^, V^ ^/ ^/-.r^^ 1. Or'itfivj A. ^^ v^ VS' S'f S 



02 ^^ ^^ ^■^'' ^^^ 2. -f^/^wi^^s A, /^ ^g'^ ^^^g^^^ 



sin .i>, ^- 7^-^ ^<^ ^ ^«^ 2. West of 1. AA=A,-A,= 7 /<^ ^'^ " ^-"^ 



cos ^. ^' 7^8^^^^^^ ,i„ .^^ .^»/^ 7/^<ir/ 3i„ AA ^^^^s- -/y<^^^ - 



tan 0. ^- ^^^ ^^ ^ ^^ cos ^. .-^^^ C^^^V^ ^^^ ^, ^. ^^^ X<^ ^^ / 



tan cf>2 " " "^ ' ■^•g>w» (,Qg (J^gin 0^ sin 02+ cos 0j cos 02 cos AA 



M = cos0,tan0,-sin0, cosAA -> ^^^ /^ ^^^J^ ,,, A . M -. /^^<^ "^ 9 9 ^^^ 



sin AA 



N ^^ ^ • ^ AA y- /-''T- F-ps^? „ N ^/,o^^<ir ?^^ 



N = cos 0, tan 0, -sin0, cos AA_Z_i_lr_! . cot B = — ; — r-;— 



^ ' ^ sinAA c7 ' ^'^ 



sin d = ""^'^■"'"^^ ./^J-Z^v^ ^f ^ ,7^3 ^^<i f'<^ A /vJ^^ /V" aV.3/ ^ 



sin B 



_ cos 02 sin AA , /^r/^y'^ ><;„ R . 7'^^ f^'SC'^ ^ ^^ ^3 »^^' -^' ^ 



sin A J d 7 ^ -^ '^^ ■ -^ "^ "^ 



K = (sin 0,- sin 0J^ ^ .99 /f^^ y^*^' H = (d + 3 sin d)/(l -cos A\ -^ C -3 . S C O y^ <i> ^' -' 

 L = (sin 0, +sinrA,)^ /^S"/? / ^S'^ J G = (d - 3 sin d)/(l + cos ^^ — ^ / JJ <i> ^ 9 S" 3^/ 



U =-(f/4) (HK + GU ~ > ^^^ ^/^r^ ^ s = a (d + 3d) ?^^j ^"^^'^-^ ^ters 



d (radians) ' /^C /^fS-ff s ^^^' ^i'S'X „ .^, 



d + Sd (rad) '^-^^ /:i'f1P ^-^ T = d/sin d ^' ^^^ ^^TF^^^ 



O I M O I ,1 



2A ^6^<^ ^r ^>f~ <i3^ 2B f ? V:?' -?^- »^^-a- 



sin .A - ■ '^U ^9 ^ S3 ^.„ 2B • ^ 5^ ^ ^ ^-^^ ^ 



U = (f/2) cos^0, sin 2A ^y,SrS-^<if^yc' ^y ^ (f/2) cos ^02 sin 2B ^ 9 ' 9 ^^ Sj^ Si X ^^ 

 VT -^ ^' f^S^ ^^'^ / /^ ~ '^ UT — /- ^^ 7^S-<i, X /'^ ~ "^ 



+ 180 o , „ + 180 o 



_/ 



a^g= 180°- A + 5A 02-1 =03^= 180°+ B + SB 



Line No. 7 (See Tables 1,2 - pages 65,66) 



118 



