DISTANCE COMPUTING FORM, FORSYTH-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, f764 = 0.1795720390 x lO"' 



1 radian = 206,264.8062 seconds 



O I .1 O . M 



21 Z6 06.O ^ ///9m^ri A, /S8a/33^ 



rA^;=y,frA,+ rA-1 ^■^" ^S 76'^^ 2. Always west of 1. AA = X--A, ^ ^7 ^^'^ 



3in ^^ ^.2622^/70 ,i„ A^^ ^. 108^3193 sin aa ^.S/y^S^^S^ 

 cos ^^-LlM^^SZ^__ cos A, /.^-^/^.^^^^ sin ,K.^. 632 3842 B 



k = sin^^cosA0,A^^^^5Z^ K.sinA<^ cos <^„ZLZ^^^^^^ 



H = cos^A</, - .;n'^_^^= rns^^^^^ - sin^A.A^_^ ^. 9/9^39S50 1-T. ^.SSOS^rS3 



L=si„^A0\HsinL^ ^.^rSi^r^yr cosd^l-2L---^^-/^-^''-^^^ 



^. /.327S4288S ,;„ h . ■ 970S//2^ -v ^au:. ^ . /.^^r675S22 



^^2vv{\-ut.2/9a7^sza_ v^ov^n ^.as/s//9^^y E = 30 cos d -^^.^^/^^^s 



A = 4T(8 + ET/15)'ti^^^^^ C=T-y.(A+E)i^£M£2>^^ B= -2D ^^£.M^^2^ 



uk^miiLiii^iz^^i— vm.FY^ -f.u^y3ez3 nYY ^/J^'S'7^^4o(. 



(TV - qy^ — ^ /^' ^"'^ fSZ^HC gf = _ (f/4) (TV-3Y) -^/^ 9o72 i K/0~^ 



T + Sf ^ A 3C?77'^Z9Q S,=a sin d(T + Sf) <^ ^<g^^ . <^/-^> ^<i^ meters 



S=X(A + CX)+Y(B + EY) + DXY -^2 .■^^C 3 S 7S S' 5f^ = + (f764)2 ■^4.6>/Z^ X/O''^ 

 T + Sf +SP y-A 3^7 7'^'3S4> S2 = a sin d(T + 5f + 5P) ^^'fiij^7/ j/ meters 



sin(a, + a.) = (KsinAA)/L -J- 270 ^ ^^'^^ ^ a,+a, 5^^"° //' /ri/ff 



sin (a,-a.) = (ksinAA)/(l-L)-2^.j:f>/^^^^__ a,-a, /^-^ -^/ J^^' /^^ 



'/.(S«.-Sa,)=-(f/2)H(T-l)sin(a,-a,)^£,^^^7^^^<^ Sa, -/.^53 ^^^^5^/? X/<3 '-^ 



;>., -> ^ 57. /^o g,^ — ^ /^.-j?^^ 



„,_^ /6? ^7 /^^i^J'/ ,,_. ^^^^ $7 /(i'773 



Figure 21. 



80 



