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 lO'^ 

 1 radian = 206,264.8062 seconds 



55 09.138 



10 











1. Origin 



2. Terminus 



!., + 02)_9 57_ 



34.569 



2. Always west of 1. 



A<^^ = '/2(c!,,-q!.,) 2 25.431 



sin 4,^ + 0.17295377 



cos + 0.98492994 



sin A0_ + 0.00070507 



m 



cos A<^ + 0.99999975 



A, 



AA = A2 - Ai_ 

 ^X^ = Vi AA_ 



sin AA 



sin AA„ 



10 39 43.554 



18 







20 16.446 



40 08.223 



+ 0.12772073 



+ 0.06399152 



+ 0.17295373 



'0^- sin'A0 + 0.97008649 



k = sin (f> cos 



H = cos^A<;6 - sin"<;6j^ = cos" 



L = sin'A0^ + H sin'AA„ + 0.00397 292 



^m m 



d + 0.1261458534 sin d + 0.12581156 



U = 2kV(l - L) + 0.060064618 

 X = U + V + 0.060307385 



K = sinAqSjj^cos (t>^ + 0.00069444 

 1 - L 0.99602708 



V = 2KVL + 0.000242767 



cos d = 1 - 2L 0.99205416 

 T = d/sin d + 1.00265710 

 E=60cosd +59.52324960 



Y = U-V +0.059821851 



D = 8 (6 + T ' ) +56.04257008 



A = 4T (16 + ET/15) + 80.12738460 C = 2T - Viik + E) - 67.82000290 B= -2D -112.08514016 



DXY 



X(A + CX) +4.58561299 

 (TX - 3Y) -0.118997925 



T+ Sf + 1.00275795 



S = X(A + CX) + Y(B + EY) + DXY 

 T + Sf + Sf'+- 1.00275780 



Y (B + EY) - 6.49212745 



0.20218475 



Sf = - (f/4) (TX - 3Y) 

 Si = a sin d (T + Sf) 

 - 1.70432971 



+- 1.00853 X 10"" 

 804,665.223 meters 



8f = + (fVl28) 2 - 1.53 X 10" 



sin (a^ + a,) = (K sin AA)/L + 0.02232473 



sin (a^ - a,) = (k sin AA)/(1- L ) + 0.02217789 



Viiba, + 8a.,) = -(f/2) H (T + 1) sin (a^ + a,) - 7.351613 x 10"^ 



V2{8a^ - 8a,) = -(f/2) H (T- 1) sin (a^ - a,) - 0.000969006 x 10' 



Soj 



a,-2 



91 



16 30.040 



-15.162 



91 



16 14.878 



+ Sf + Sf ) 



804,665.102 meters 



oj + a, 



I 

 361 16 



45.188 



Oj - Qi 



178 43 



45.107 



8a, - 7.350644 x 10"' 



8a, - 7.352582 x 10'' 



aj 



1 

 270 00 



15.147 



8a.i 



_ 



15.166 



a,., 



269 59 



59.981 



= ai + Soi 



8a, 



d = 7° 13' 39':450 

 Line No. 6, see Tables 1 and 2. (Pages 65,66) 



131 



