Table 2: Numerical values used in this study. H$\psi _1$ and $\omega _1$ are integration constants.

Initial values at J2000.0

H
  $H_{\mbox{\scriptsize MHB}}=3.27379492 \times 10^{-3}$

$\psi _1$
  $5038\hbox{$.\!\!^{\prime\prime}$ }481507$/cy

$\omega _1$
  $-0\hbox{$.\!\!^{\prime\prime}$ }02575$/cy

p1
  $5028\hbox{$.\!\!^{\prime\prime}$ }796195$/cy

$\chi_1$
  $10\hbox{$.\!\!^{\prime\prime}$ }556403$/cy

$\epsilon _0$
  $84~381\hbox{$.\!\!^{\prime\prime}$ }406 = 23^{\circ} 26' 21\hbox{$.\!\!^{\prime\prime}$ }406$
 

Contributions to the precession rate in longitude (in ''/cy)

Lunisolar first order
  $~~5494.062986 \times \cos \epsilon_0 \simeq 5040.7047$
Planetary first order    0.031
Geodesic precession  -1.919882


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