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 I II O g M 



<I>,.^A ^^ ^^. ^ 2. A'/ ^J^/iZr A, ys-JT ^/ ^^.^ 



4>^^Vi{4>2^4>,) y^<~ ^-^ y^"-^" 2. Always west of 1. AA^^A.-A '^y 7^ ^ 9- <^ 



sin 0^2^!^^^=^ .■•nA^__ ^X^^-^f'X5^.? ,;n AX -^. 9^f ^S'^'^^^ 



k = sin <^^ cos A<^j„ •A.J2^^^X-2 <-y^ K = sin A0^cos <^^ r>^ ./^■Z 7J^J. 7<^ ^ 



H =cos'A<^^-sinV^ = cosV^-sin^Ac^^ 7^- f/f ^4 9 ^.^/^ 1-L ^ ^J^^J^ ?^^^ 



T.^sin'A^ __4-H^in'AA _^ -r.S99 V7JI /^.^ rn.. d = 1-9T . 7^- J 'i^/ ^ S'^ <^ <^ O 



d+ ^.7J>9'S /Jiffs- sind+ -/-'f7d)^y/ji9 T=d/sin d + y.^^;^ ^ ^J" i^^ ^ 

 Tl=9k^/n-T.^ ^.^/f ^yy^^r:? v=2k^/l ■t^^^s'^ y//f ^^ f 



\- y--^^<^^^^-/^-p^^ Y^ -r.^j^^^as-^V^^ E=6o cos d -^^^ V^^j'J ?< ^ 



A^drifiT4-(E/15^T^l 7^.^^ ^/^ ."T/,^/.^ n = 8(6 + T^) ^^>?. fni V'^-f S y<^ ^ 



R^-9n ^y^s^ 9.j2S'.r^/i ^^F r = 9T - v,f a 4- e^ - JT^ J^<^ 5^y^J? ^-^"^^ 



AY r^<^. ^i>f ^^f^^ -/ RY > ^^. . j'^^ -^^^ ^^ y'.^^ r\^ -.J*. ^^^ ^^i^ ^r:?^ 

 nxY ^.^> f//6^S'=X fJ2/ YX^y^aMZ^ll£^b{^-{{[\) (TX-3Y^ ;>"^> ^^^^y> " ^^ 



T ^ ;;f -^/.J^"/ 76 A f 9S-' S,=a sin d (T + gf) >^ VU^ ^ / f.^^^f ^ 



Sf2 = + (f yi28) (AX + BY + CX' + DXY + EY') ^ 9"- ^/-^jf >^ /fc? ~ ^ 



T -u Sj X f,^. 7^/. v/^g ^7^4S^^ S, ^ a sin d (T + gf +gf2)-.f /'^(^ ^^/.y/^ ^ 



O I It 



sin(>7,+a,)=(Ksi^AA)/L -7^-;^-7/7 V/tPi?/ a, +a, v7^;:^r^ V/ ^9- ^99 



sin (a,- a.) =(k sin AA 1/(1 -T 1 T"- y^/^ ^^:?^^ a^- a, ^i^T'T' VX W> ^^ / 



H(ga.+ ga, )=-(f/2)H(T+l) sin (g . + a,) -> ^^^^ f f 7!r^^f-S'/S gg, — 7^/ f^/^fl/f/^-^ 



'/2(gg, - ha^) = -(f/2)H(T-l) sin (a, - n^ — . <rJ<^^JS79C 709 ^ Sa, -/- ^^^^ f.<''^ 9J / /^ '^ 



8a,^ ^ ■ ? 7V^ ^ ga,^= V^ /V< ^^^ 



a,., y^9 .<-^ //.. fS'f g,_. ^^.f ^£_2 .^^^ 7/S 



gi_2 = + gi + go, Oa-i = + aj + gct2 



d = - True distance ff ^<^<^ <r'^/' ^/ meters 



True Azimuths ^^^ ^^ x^?- f^/ -X C ^ 3 7 /^^^9 



Line No, 16 



141 



