DISTANCE COMPUTING FORM, ANDOYER-LAMBERT TYPE APPROXIMATION 



WITH SECOND ORDER TERMS 



(No conversion to parametric latitudes) 



Clarke Spheroid 1866, a = 6,378,206.4 meters 



f/2 = 0.00169503765, f/4 = 0.000847518825, fVl28 = 0.0897860195 x 10'' 



1 radian = 206,264.8062 seconds 



/f s-/ J'/. »y^ 1 ^^^j/^ 



A, 



rk ^^^^ U ( rA^^ rk^ '='^ -3'/ V^. fS ^ 2. Always west of 1. AA=A,-A,_Z j'-T' ^/> ^/ ^ 



A0^='/2(<^,-0.)^ AA„='/,AA^f y-^ VS./fy 



.-.^A,^ -^..?^^ /<^^/^ .;nA^__^ ^.^^ ^^J?S/ sinAA ^,/S'^ <^^^f/ 



P.,/ ^9:?^ ^.^^-^ ^ ^--A^__^ ^.^9f ^Af^-^^L. sin AA^ y-^^<^<^ /9a^^9 



k = sin <^^ cos A0„ t,^ , r:i-Vi^'^ ^ .^^ K = sin A0 ^, cos <^„ -7^, <^ ^S ^ y^" ^ ^^ 



H =cos-A.^^-sinV^^cosV^-sin-A0^ ^- ^.f 7 <^yS ^ ^^ i-L ^. f 9^ ^ ^94--/ 9 



T^.;n'A^^^-^H.;n^Ax__ y-. ^^.r-- ^<^^ ^^".^ . cosd=^l-2L ^'^fS^ yff^^ 



A^ ^/r~S7f^J'V^':^ sind+ ^yS^S/9Vf<^ T = d/sind+ A^^^Sf^zz^^s 



Ti^9i.vn-T^ ^,.^9'/^S^fVf V = 2KVL rf^^^r^^^ ^ ^^ 



Y^TT. VT^.^^^^^-f-J-J' ^ Y=TT-V -.J-J^^.-?*J*/V^<J XY - - J'^^^^^ -^^^ 



Y^ ^. ^-r/.-r-V^ crV^ Y2 ^. /// /^^ >^i^^ F,^fin COS ^ ^s-f^J^f/^^S'^ '^^ 



R— 9n -y/^. /a^ ^^/^^ r = 9T - u( A -. E^ - ^ ^- ^j'-^ ^»<r -y^^ 



nYY -/^- ^^^^^<^ / ^j^ Yx^ r^jj^r9fA2^\ = -(f/4) rxY -^Y^ - -^^/^^^^ 9^^ 



T .. ;;f T^X ^^^ ^/y ^ -Cr-O" S, = asind(T + gf) ^^^■^■^'V^- ^^7 ^ 



Sp = + (fVl28) (AX + BY + CX^ + DXY + EY^) V-^^ y<^ ^S XX^ "" ^ 



T^ gp+fif. X^^^ ,/^.i' ^/^ S,^asind(T + gf+gfO-^^-^°^-^-^' ^^^ ^ 



II O I " 



sin {n,^n^\ ==(KsinAA)/L ^^ 9^3 ^^J? -^-^^^ g. +a, -^^Sj/ o>^ ^^> ^"^ / 



sin (a,- a.) =(k sin AA)/(1-L) ^-^^O fS-f^f a,- a, Z^2 ^^ ^^, /S/ 



y.(Sa,+ Sa,)=-(f/2)H(T+l) sin (g.+ g,)-^ . 9f4^d ff/^ X/^ ' Ha. -^. ^^T.f-y^^^J'^^ Y 

 y.(Sa, - Sa.) = -(f/2)H(T-l) sin (a. - g.) ^.^^^-^ /^ ^^^"Y/^ "^^ 5a. -^ ^^^fS^? -^9 /S//^- ^ 



yJ;e ^^ ^"?^^^^ a,^ 4^?::2 ^^' f^^ 



„,^ /Jf .?.^ ^9. /^^ g,., .^^4-- ^£ --^- ^^^ 



ai_2 = + ai + Soi a2-i = + a. + Scz ^^^ 



d = / ^f J'% V^ J True distance 999,^r/ .J^S ^^^^^^ 



True Azimuths ^;^J^ J>J> ^^ .^ / ^-/^^J^ .^^ /S.^^ 



Line No. 14 



139 



