Leica tps1100, User Manual, Page: 1114 / 1154

GeoB
ASIC
Reference Manual Appendix G — Geodesy Mathematical Formulas
TPS1100-Version 1.30 G-43
Formula and proceeding calculation :
1. Calculation of angle
τ
(see formula in general)
2. Calculation of coordinate of point Pi in the unity clothoid system (see
calculation of coordinate)
3. Calculation of angle
β
:
β
= atan (
y
x
)
4. Calculation of rotation -angle
if (A > 0)
then = (Z )
else = (Z )
if (Transformation direction : Klothoidensystem into Country system)
then = 2
P -P
P -P
0 1
0 1
α β
α β
α π α
−
+
−
5. Calculated transformation with Po as common point,
α
as rotation angle and
point Pi.
(see coordinate -transformation [geodetic Systems])