Ashtech Z-sensor Spécifications télécharger pdf (Page 85)

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101

Coordinate Transformation 65

Coordinate

The generic formula used to translate and rotate from coordinate system 1 to

coordinate system 2 is as follows:

where

expressed in radians, similarly for ε

and ε

Example: Define local datum as the WGS-72 datum

$PASHS,UDD, 0,6378135.0, 298.26,0,0,4.5,0,0,-0.554,0.23

$PASHS,DTM,UDD

This implements the transformations listed in Table 5.2 and below.

∆

y=0

∆

z= 4.5 meters m= 0.23ppm

= –2.686

-6

radians = –0. 554 in the following equation:

Table 5.2: Ellipsoid Parameters for WGS-72 and WGS-84

Datum Reference Ellipsoid a[m] 1/f

WGS-72 WGS-72 6378135.0 298.26

WGS-84 WGS-84 6378137.0 298.257223563

∆x

∆y

∆z

1 m

6–

×10+()

1 ε

–

–1ε

–1

WGS 84–

4.5

10.23

6–

+()

12.686–10

6–

× 0

2.686 10

6–

× 10

001

WGS 72–

1 2 ... 80 81 82 83 84 85 86 87 88 89 90 ... 261 262

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