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Earth, Planets and Space

Table 8 Calculated transformation parameters by ADQA, MPA, and OMA

From: Analytical dual quaternion algorithm of the weighted three-dimensional coordinate transformation

Rotation matrix

   

\({\mathbf{R}}\)

0.8504164824

− 0.4945070945

0.1795954899

 

0.4793809210

0.8689811908

0.1227420983

 

− 0.2167619411

− 0.0182872521

0.9760531939

Rotation angles (°)

   

 θx

 

1.0733634149

 

 θy

 

− 12.5189170709

 

 θz

 

− 29.4100148194

 

Translation (m)

   

 tx

 

− 22.9656

 

 ty

 

29.3962

 

 tz

 

− 2.2652

 

Scale

   

 λ

 

1.000385442

 

Standard deviation of unit weight (m)

   

 σ

 

0.0301

 
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