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, f /128 = 0.0897860195 x 10"' 



1 radian = 206,264.8062 seconds 



O I II O t II 



^^ -.?? jT^ ^J'^S-f-i) 2. <^4P£ '^/'(Ty^^Z)//^/ '^, - /^ Jif ^/. y^^ r ^J 



A. __ .= U r .A.-^ ^^^ tV^ ^-/ SJ^. <P 2. Always west of 1. AA = A.-A ^// ^.r ^f*^! ^5 "^ 



A0^= /2(<^,- c^,) -^V^ ,522 yy^'^" AA^= Y, Ak ^9 c?^ y^ ^^ -^ 



.;„ A^^ r-./^/ ^ ^/.Ar^ .^n A^, , - - ^^^S-/^f^9 sinAA^L^^__^£Z^ 



.n. / y. 9S'/9J3P<^ nn.A^_^_ 7^. ^^ ^ ^^r/"/ .in Ak^JZ^Z^SZ^VAA/- 



k = sin 0^ cos A<^^ -!^-./3^ ^C?^^y9 K = sin A<^ cos 0^ <^ ? -^ W ^ "/Z 



H =cos'A0^-sinV^^cosV^-sin^A.^^ -T - ^^ ^ f^^/^ 1-L ^' '^^'9 ^^^ ^f 



d + /. -j-^v^^-rycj^^ sind+ . 999'99V:rf T^d/sin d + As-9/J'fJi ^^ 



TT ^ 9k^/n -T .^ -^,^'?SS'^ 9S<^ f v = 2KVL 7^/.f9fS'^<^^^''7 



x^TT4- v7^/. .^r:f .//(^v^r^ Y^TT-v -a f^/^^^^^^ \y -o'. ^rar^^.^^'r^^o 



A ^ 4 [ 1 fiT + (E /1 5)T^] 7"/^x ^^ '7^^<'3y6''X n=8(fi+r-) :^ ^ f. q <^ o :z f^ <^ /^ ^ 



R ^ - 9r> - / J"^ - J^^ -^^^J^ j^ r.9T-'/,(A + E) -»"^> ^^J' /^^W^L- 



Kx -i^/99. 3V/^'i^S- /r^ w^ V-j'^<^'S'93^39^3 rx- ^/^;f',^::^J^^SZ99 

 m y^i/^. ^j^^J'/S rf/ FY' -J. 9^ fsyj'/r /k^ = _(f/4) (TX-3Y^ ~ .^^ 7-ZJ> 9^ 9S - 



T.F^^ T^A rf'//<i^~.-i'^^ S, = . .in d (T^^if ) ^^ y^^^^^^. ^^^ __ 



Sf2 = + (f yi28) (AX + BY + CX^ + DXY + EY^) y-/- y9J~ V^ / /^ ~*^ 



T + Sf + gf2 y"/' S-'fy^/^i 7/9 7 S, = a sin d (T + gf +gfO ^-^^ ^'^'5, ^^9'S<i3 ^ 



O J H 



sin(a,+a,)=(KsinAA)/L -- ^VJ' 99^''^^<^ a. + a, J} <P (^ ^/ ^^ ■ 9j''9 



sin (a,- a,) =(k sin AX)/(1-I ,) y-> ^/^/ 6 ^ 9 f 9 a,- a, ^^^ 4^/ -J^X Z''^;:^ 



y,(;?.,+ g.,)=-(f/2m(T4-n sin (n,+ n,] V 9. /^S^ 3 f 93 )( /^-^ ?.n, 1^ 9. ^i"-^ i^ 999 X'/^ ^^ 

 'A{ha, - ha,) = -(f/2)H(T-l) sin (a, - .,) —V/9^^9ci:t A^ /^ - ^ 5a, 9- S. 6^-9^9 X/ ^ '^ 

 a, y^-" y^" ^<:^. ./^/^ a, X^? -Jp^ ^-SJ?- c^/3' 



Sa,^z^= ^ /<^' 9^3 ha, -^ ^ ^9./^:^ 



a,., ys- 9f /^•f39 a,_, ^^^ ^9 J/- ^^S^ 



ai_2 = + a, + Sci aj-i = + a, + Sctj 



O I II 



d = _ True distance — /^^ /<? ^^ (^-^ 9 • Q („ meters 



True Azimuths ^^ y/ /?. C7V / ^^ ,? .^ S-^.T^OS- 



Line No. 17 



142 



