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 



O ( II , _, o » 



q;>^='/2(<?S,+ 0,) (^ -^ -^-^ /f-^f ^ 2. Always west of 1. \\^\ .-\ y<r S9 ^^.J'ff 



sin 0^ 7^- ^-^f^--^^^-^^ sinA0^-^ ^<?^/ 9 V ^^/^ sin AA -t-.J^^^^f^^ ^ 



rn. / V . S^S r^f ^^ nn. A^ _^^ T^- F$^^ f ^ ^ / j^? sin AA,^, 7^. /S^^/S'-J'^ 



k = sin <^^ COS A<^^ A ^^-J'^ ^o^'-^ ?^ (^ K =. sin Ac^^^.cos 0^ ^^<^ \^^9'^^^^J '9 



H =cos'A0^-sinX = cos'</.^-sin^A0^ 7^- //f J? J ^T 9 ^-S^ j-L /: ^f^^^^ 5^^ 



T..«;n^A^^^_^Hs;n^AA_^ ^O0^/97 A^ 9 V m. d . 1-9T. 7^. 9f-f(i'^i>''^^ :^ 



d^ .^/^f 7f9frf^^ s;nd+ .^f^C,4^y9/ T^d/sin d + ^^ ^^^^^^^^/ 



TI^9k^/n -K^ 7^/ ^^^ ^/^ X^ .^ V = 2KVL -/-.^<^d>V^>y A^<:^V 



x^ ^-f. y^j^ //:r y^i^ Y2 7^^. /-JJIJ'^.J. 7 9/ F ^(so cos A y-r%7S^J<^'^^'/ 



A = 4 [ 16T + (E/15)T^] i^^<^"^ ^<^V^S 4/^ D ^ 8(6 + T^) V-^^ - ^J^¥^9F^S^ 



R=-9n w/-^^ c^/g f /.F ^X/ r =. 9T - y.( a 4- e^ -C 7. 9^ ^U^-^ 



T4->^f ~^/.^i>^<7^97^ 9 S. = asind(T + gf)-r.f ^ f^^ -^-^-^^m 



Sf2 = + (fyi28) (AX + BY + CX^ + DXY + EY=) J- 7 - -"i^ 7J 3 Y /(7 ~^ . 



T + §f + Sp i-/'<^0'/y^S''^'^f S, = a sin d (T + Sf +Sf.)_l£^^L.^^^-f^„ 



sin(^,+r7,)=(KsinAA)/L — , <^17 J?V^.^<^ a, + a^ ^-7^" /6 ^<^ . '^f? 



.\r.^n.^-n^^(^. .in AA u( 1 - 1 .) /t ^.^^ 99^^,^ a,- a, T^JZ /7 ^7' 7^7 



ma,4-ga.)=-(f/2)H(T+l)sin(a.+ a,) 7^. ^371 7 7 fJ^SX' /^ ~^ ^a, ^. SS^ ^S9j./ 7^''^ 

 y^iSa, - Sa,) = -(f/2)H(T-l) sin (a, - g^) ^. <^^T79/ X ^^ "^ Sa, 7^ . -3 2? /7S '/ ){/^- 9 



J2lo '/7 o.7?.9,^^ ^'l^ • ^^9 sA'/^7 



8a,^±l ^<^ ^^.^7JO 8a, _^ a^ ^^< 9'.f f 



ai_2 = + a, + Soi Qa-i = + aj + Soj 



d = ^- -J-^ ^^'^7^/ True distance ^77>, OOP • ^O meters 



True Azimuths ^^(p /^ 09'77 9-^~ <^'^ '^ ^ .tC^<^(r^ 



Line No. 12 



137 



