... account

The perturbations of the asteroids on all the main planets have also been taken into account in DE414 (Konopliv et al. 2006) and beginning with EPM2000 (Pitjeva 2001).

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... coefficients

The Laplace coefficients $b_s^{k}(\alpha)$ are defined as the coefficients of the Laurent series (see Laskar 2005)

$$(1-\alpha z)^{-s} (1-\alpha z^{-1})^{-s}= {{\displaystyle\str... ...e\strut2}} \sum_{k=-\infty}^{+\infty} b_{s}^{(k)}(\alpha) z^k.$$

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... 1)

In the P03 model, $\dot {J_2}=-3.001\times 10^{-9}/cy$, but the $0.001\times 10^{-9}/cy$ difference is meaningless because of the very coarse relative precision of the determination of this value. Indeed, a significant change in $\dot {J_2}$ has been recently observed (Cox et al. 2002).

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