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 





rf.^^^^V.{rh.A.rh^) ^ ^V ^6" '^'^' f 2. Always west of 1. AA = A.-A^ 9 ^i" ^A_^fO 



..n A^^_ ^^^ //^ ^^ J6^ .\r.\^^^ --6?rj^r^r^/ sinAA ^-x^>^ ^^^^j 



k = sin <^„ cos A<^^ -r.^/SrS-^ ^ff K = sin A<^^,cos 0„ ^ ^^ '/'9 ^^//^^ 



H =cos'A.^^-sinV^ = cos^<^^-sin^A.^^ T^' SM /ffff^'j^ i-L ^- >^/^^ ^<^^ ^^xlT— 



T.=..;n^A^___^H.in^AA___ y-,^^9J^fV ^^^sT^ cos d = i-2L2t-^^_^:^£2:^^ 



H+ ^yXJ x^»g ^»<5^4^ sind+ ./^/>^^^^^ T = d /sin d + ^' ^^^ -^^^ ^c^J * 



TU^lVn -T.^ -f-/.S37/<^^^^'^ '^ V = 2KVL ^. </^/ C?'>^-^ ^^J2. d.s ^ 



X' r-.^.J'»^^^/>^^^^ Y^ :/-^'7yr~/^^ ^^^^ F^^n cos ^ y-^TJ", ^^ S^ <^/S ^ 

 A = 4 [ 16T + (E/15)T^] 7^ /'<^-^^jy^^^ ^^ D = 8(6 + T=) '>^Sr<i . ^^ ^ ^ ^ S^ j?-^ ^ 

 R=-9n -/y^ -^^^ ^6^^^^^r r = 9T-V.(A4-E.) -^^- <5'-<^ry^^ ^^^ 



AY 7" /</<^.f'//^'^/r6^9 RY - ^X J'f^r^^sj ^ r\^ ^j?^4r: 9fdP^s--^Ji^ ''/ 



nxY ^/g^. r^^J'vTy^ ^s'^^g-jp fy^ 7^^J?,/WJdfJa ;^^ = _(f/4) (tx -3Y) ?*: ^«^^ cs^/^.5 4'$ ^ 



T -. ;ij -^ /. ^^^.^ ^.:er".^ 5/^ s.=asind(T+gf) /^J^-^^^-^:^^/^? ^ 



Sp = + (f V128) (AX + BY + CX' + DXY + EY') — V. ^^^ " V«5":if~A^ /t^ — c 



T + gf + §f2 /- ^^^ f-^Z-J S""? S, ^ a sin d (T + gf +gf2) /; JPJ^^.^V'7- ^'^^ 



sin(a,+a,)=(KsinAA)/L — . ^i^"" ^'^Z X^ j^ a. +a, ^ ^^ X/* ^/.^^■S'l^ 



sin (aj- a.) =(k sin AA)/(1-I,) r*- /»</ V^/^J2 /^ a,- a, / ^/ orV cS^^> ^^/ 



y,(g^,+ g.7,) = -(f/2iH(T+i) sin (^,+ ^j '^9^!rj^jL/^9 //^-'^ Fin, -/■ 9^ j^^ 9^>i^JZ)C/^ - >^ 



ya(ga, - ga,)^= -(f/2)H(T-l) sin (a, - „^) - ^ ^^9^ ffS^J^/^ " ^^ Sa, ^ f'- ^^.9^^^ //'^ "^ 



Sa^^zz ^ jfj>,^99 ha, -r 3 ^-^^ ^9^ 



ai_2 = 4- a, + gai a2_i = + 02 + gcj 



d = ^ ll. ^"f- h'S'^ True distance /.^S^.^'^^- ^/ ^^^^^^ 



True Azimuths 



SS' /c ^^.^fi" c^^9 ^^ ^^^f^^ 



Line No. 15 



140 



