Leica tps1100, User Manual, Page: 1088 / 1154

GeoB
ASIC
Reference Manual Appendix G — Geodesy Mathematical Formulas
TPS1100-Version 1.30 G-17
Formula :
∆
∆
∆
∆
y = y ' y
x = x ' x
y ' = y y * cos( ) x * sin( )
x ' = x y * sin( ) x * cos( )
0 0
0 0
i i i
i i i
−
−
+ −
+ +
ϕ ϕ
ϕ ϕ
G.7.2 of geodetical coordinate systems
Picture:
x
i
y
i
x
y
ϕ
P
i
P
o
N
E
∆
∆
N
E
i
i
y
x
Nomenclature :
GIVEN :
Po : in both system known common points
ϕ
: Rotation angle between the two coordinate systems. This is the
angle (clockwise is negative) between the old and the new
system.
∆ ∆
y, x
: Coordinate difference of the common point Po of both
coordinate systems.
Ei, Ni : Coordinates in the old system (i.e. country coordinate system)