Datasheet

11. Reference System Transformations in Detail
Find below the detailed equations used for the coordinates transformations.
(u, v, w)  (, ):
)2(
3
1
)(
3
1
)
2
3
2
3
(
3
2
)
2
1
2
1
(
3
2
vuwvwv
awvu
ggggggg
ggggg




(, )  (u, v, w):
2/)3(
2
3
2
1
2/)3(
2
3
2
1



ggggg
ggggg
gg
w
v
u



(, )  (d, q):
)cos()sin(
)sin()cos(




ggg
ggg
q
d


t  
(d, q)  (, ):
)cos()sin(
)sin()cos(




qd
qd
ggg
ggg


t  













)3/4cos(
)3/2cos(
)cos(
0
0
0



tGg
tGg
tGg
w
v
u









)sin(
)cos(
0
0




tGg
tGg









)sin(
)cos(
0
0


Gg
Gg
q
d