Table 2: Effect of zonal variations in Earth's rotation: artefacts induced by omitting the variations when transforming the torque from the celestial frame to the terrestrial frame compared to the values of Bretagnon et al. (2001), and net contribution.
  Artefact Net effect
  $\Delta\psi$ $\Delta\epsilon$ $\Delta\psi$ $\Delta\epsilon$
  $\mu $as $\mu $as $\mu $as $\mu $as

l
l' F D $\Omega$ sin cos sin cos

0
0 0 0 1        
This study 4 -729 1 -1
Bretagnon et al. (2001) 4 -712    

0
0 0 0 2        
This study 71 19 0 0
Bretagnon et al. (2001) 69 19    

0
0 2 -2 3        
This study 9 -3 0 0
Bretagnon et al. (2001) - -    

0
0 2 -2 1        
This study -8 3 0 0
Bretagnon et al. (2001) - -    

Precession in longitude
$\mu $as/c    

This study
  4497    
Bretagnon et al. (2001)   4224    


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