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 M , Old 



sin<6. ^ /^S^f^^-'S- 2. West of 1. AA^A,-A,= / ^f ^ V- /^ 3 



cos ^, ' 9.e^r/?^6 3in ^, ' /93zVr/r ,,, ^, .^jt^^./s-^s- 



tan 0. ^y^^^^rP^ ,„, .^^ ^ 9ri/ ^^<^^^- ,„^ ^, _:_Zf9_C^9AFr 



tan 0; ^ /7^ S^ ^ fy^ cos d = sin (/!)isin^j+ cos <^, cos (/)jCos AA ' ^ ^ 7 ^ ^/ V^ / 



M = cos.^.tan</>„-sincAtCosAA y-; ^g^'gi^// V>y*^ rot A = M y> ^<^ 5^ ^6 > f^S^ 



sin AA 



N A., A. -A. K.'^.aoo<:><}c3^ .n N ^,a^^'^/VfS 



IN = cos 0, tan 0, -sin0, cos A A *^ "' cot B = — : — rr— 



^ ' ^ sinAA o / // 



sin d = ^°^'^.^i"^^.^>jzrja^vr „ A - ^999 9^^"^ a F^ ^^ ^9.9(r ^ 



sin B 

 cos (^i^sin AA,<*'^rj**yf p, /, <^i?aPO<P<P<P <^<i^ ^<iy ^^,^^^ 



sin A 



sill n ^ 

 K = (sin<^l-Sin 0,)^ SJX/^^ H = M^.^«;n^Un -nn. ,1^ ^/ 9 ^ ^ 9A ^^^ 



L = (sin 0, +sin d.^^ ' y^^^rCrd/^ G = (d - 3 sin d)/(l + cos A)rzi.?lfl±^l^^ ^ 



U =-(f/4) (HK^GL) ^-^-'^-^-^^^^^^'^ s = a (d + 3d) /^^.ll^ll^r...... 



d (radians) -^^^^^^^^^^^ s /^^ > <r^<ry „.,. 



d + sd (rad) '^^iJ-^^^ /^:SJX. ^ __ j/^j„ J /,^^^y^^9J^^ 



2A y^f ^V //^ 9/»^ 2B /rh Ja y^ . /'^^ 



..„.A 7^> <^^'i^9 Ji4r7 0^ sin2B -' ^o<^o ^ 96 9^ 



U = (f/2) cos^<^. sin ^P, ^AV<^^3^^yy^- '.^ -_ (f/2) cos ^4>^ sin 2B ^ ^' T 9 F ^ y^ ^ ^ 



VT ^ *^.r9Jr / y^ — ^ UT '^'^' -^^ ^^/ X' /^ --^ 



.A.VT-TI -A V^^^X-/-^-^ .R--TIT.V -/• V^^V W" y^-^ 



+ 180 o , M + 180 o , " -. 



a, - 



a,-j = a^g = 180° - A + SA a^-, = ag^ = 180° + B + SB 



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



113 



