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Table 5:

Coefficients of the periodic terms in the analytical solution for Ceres.
    Coefficient
Frequency (i,j) Period (days) $M/\epsilon$ $\Lambda/\epsilon$ $\mu-\delta$ $\nu $ $\lambda $
(2,0) 840.250 -- $ 9.4943\times 10^{+04}$ $-1.0836\times 10^{-05}$ $-4.4828\times 10^{-08}$ KKK $ 1.0896\times 10^{-05}$
(2,-1) 0.35380 $-7.6334\times 10^{-02}$ $-1.5267\times 10^{-01}$ $ 2.4028\times 10^{-06}$ $-2.4028\times 10^{-06}$ $-8.7482\times 10^{-12}$
(0,1) 0.35365 $ 7.6249\times 10^{-02}$ - $ 2.4001\times 10^{-06}$ $-2.4001\times 10^{-06}$ $-8.7265\times 10^{-12}$
(2,1) 0.35350 $ 5.2298\times 10^{-05}$ $-1.0460\times 10^{-04}$ $ 1.6462\times 10^{-09}$ $-1.6462\times 10^{-09}$ $-1.8014\times 10^{-14}$
(2,-2) 0.17686 $-7.2861\times 10^{-05}$ $-7.2861\times 10^{-05}$ $ 2.2935\times 10^{-09}$ $-2.2935\times 10^{-09}$ $ 1.1475\times 10^{-17}$
(0,2) 0.17683 $-9.9901\times 10^{-08}$ - $-3.1446\times 10^{-12}$ $ 3.1446\times 10^{-12}$ $ 1.1465\times 10^{-17}$
(2,2) 0.17679 $-3.4244\times 10^{-11}$ $ 3.4244\times 10^{-11}$ $-1.0779\times 10^{-15}$ $ 1.0779\times 10^{-15}$ $ 7.8652\times 10^{-21}$

Notes. The coefficients of M and $\Lambda $ are scaled by $\epsilon=-5.40548\times10^{15}~{\rm kg~m^2/s^2}$ and are given in seconds; those of the angles are not scaled and are given in radians.


Source LaTeX | All tables | In the text

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