Table 3: Comparison between different values of the coefficient  $C/\left (M {R_{\rm e}}^2\right )$ and of the constant part for H: (1) IAG values (Groten 1999) - (2) MHB values (Mathews et al. 2002) - (3) Constant part H** obtained from Eq. (8) using the M, $R_{\rm e}$ and C IAG values - (4) Method of "Clairaut'' (Sect. 3.2), assuming hydrostatic equilibrium. The third and fourth methods use a constant part for  $\bar{C}_{20}$ of  $-4.841695 \times 10^{-4}$ in Eq. (8) (i.e.  $J_2=1.0826358 \times 10^{-3}$). The sense of the computation is indicated by the arrows.
  (1) (2) (3) (4)
  IAG (1999) MHB 2000 Separate values for Clairaut
       M, $R_{\rm e}$ and C Theory

$C/\left(M~{R_{\rm e}}^2\right)$		 0.330701 0.330698   0.330722**   0.331370*
    $\pm2 \times 10^{-6}$  
   $\Uparrow$  $\Uparrow$   $\Downarrow$   $\Downarrow$

H		   $3.273763 \times 10^{-3}$   $3.27379492 \times 10^{-3}$   $H^{**}=3.27355562 \times 10^{-3}$   $H^* = 3.26715240 \times 10^{-3}$
    $\pm2 \times 10^{-8}$  


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