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 , ^ O I II 



<^. ^^ VS a^' ^^/ 1. (^/fOf A, 9 J'P ^f. ^S '^ 



4>i ^"^ ^'^ ^^^.^^^><^ 2. '^^/^/^//C A, /^ <^^ g^^ - <^^ <^ 



sin cS. ' f-^f ' S''iy~Z:r<^ 2. West of 1. AA = A,-A.= f ^ ^ 3 A -3^ 3 



cos ^,±Ai^^:^:Z^^?_:±_ sin <^, .939^9^^:^ ^.^ AA >^V^ ^S'^^<= ^ 



tan ^ -^^ ^/r ys'-pj^i/ ^^^ ^ . ^^^ ^^^x^ ^^^ ,, ^^y9 ^S^^^a. 



tan 0j -^- ^-^^y 'i/^-:^ ^°-\os d = sin 0^ sin ^i, + cos 0^ cos 0^ cos AA ' ^ ^'^ ^Sj/S^ 



M = cos(/S,tan 0,-sinc/.t cosAA T^^^-^g' /S^^ t rot A = M -y^. /^/ -^ -^ 9 f.^ 



sin AA 



N = cos,^,tan0,-sin<^,cosAA --^^^ ^^/-^/ ,,t B . N_ ^ ' ^^^^ ^V5^^ 



sinAA ^ ^ *> 



.in d - '°^ -^.sinAA -t,^r^J9/^3 ^.^ ^ ^£>, ^^^ ^g/^/ K S-^ ^ '^ '»^^- ^ ^^ 



sin B 



^ cos 0,sin AA T^ <)s-oj9/£3^ i„ g v-/^ g;'<g<^ aao^c g ^<£? ^i»g:? /X -f»C2 - 



sin A ^ ^ ~JL ^-X. ^'f^ 9<S-tP 



K = (sin <^,- sin 0,) ^ ^/. ^UJf^y/^- H = (d + 3 sin d)/(l -cos H^ ^^^'^> 9f^^^<^ 

 L = (sin <^, +sin.y,,)- ^J><r^^ ^/^y^ G = (d - 3 sin d)/(l + cos A^ -.^^^ ^ 9 i/ ^ 9 X - 



U =-(f/4) (HK + GL) y. ^^^/^^/^<^ s = a (d . 5d) ^J-/, i^*^^ ^^^ meters 



d (radians) -f-^ 0^^3 /^ 9<S'^ s ^ ^^ ' ^^"^ ^ n .m. 



d 4- hA (r.d) -»-■ ^-^-^^ 6>J19^9 T = d/sind^^^_^f:^^^^^: 



2A /^^ yj' ^<r. /^V 2B yf^ ^i? J^l6fl/ 



^\.ik±iA2/_Aj2±^LL .;. 9R —' ^^^ /^99r 



U = (f/2) cos^<^, sin 2A ^^ Vf/<g^//^-^ v ^ (f ;2) cos ^<^, sin 2B -^- ^f J )f y^ ~ ^ 



VT —^ > //^ )C /'O "^ UT -/^ >5^ y/'>^'^ ^ ^^ ~-^ 



8A^VT-u -^-V^^>' V/^—^ m = -TIT .V -v^T ^i^<^ -^ Y y^ ~^~ 

 + 5A rz yA -^a-// +gB _Zi: /A J/ 4 



+ 180 o , „ + 180 o , 



2^3 = 180°- A + M a^-, =ag^= 180°+ B + SB 



Line No. 3 (See Tables 1,2 - pages 65,66) 



114 



