Page:Laplace - Œuvres complètes, Gauthier-Villars, 1878, tome 4.djvu/129

Second et troisième satellites.

$\alpha =0{,}626926714,$

d’où l’on a conclu

$b_{-{\frac {1}{2}}}^{(0)}=2{,}201911334,\qquad b_{-{\frac {1}{2}}}^{(1)}=-0{,}594386339.$

Ensuite

${\begin{alignedat}{3}b_{\frac {1}{2}}^{(0)}=&2{,}2570986,\qquad &b_{\frac {1}{2}}^{(1)}=&0{,}7515340,\qquad &b_{\frac {1}{2}}^{(2)}=&0{,}3609108,\\b_{\frac {1}{2}}^{(3)}=&0{,}1906386,&b_{\frac {1}{2}}^{(4)}=&0{,}105293,&b_{\frac {1}{2}}^{(5)}=&0{,}059691,\\b_{\frac {1}{2}}^{(6)}=&0{,}034428,&b_{\frac {1}{2}}^{(7)}=&0{,}020107\,;\\\\{\frac {db_{\frac {1}{2}}^{(0)}}{d\alpha }}=&1{,}093150,&{\frac {db_{\frac {1}{2}}^{(1)}}{d\alpha }}=&1{,}743650,&{\frac {db_{\frac {1}{2}}^{(2)}}{d\alpha }}=&1{,}444842,\\{\frac {db_{\frac {1}{2}}^{(3)}}{d\alpha }}=&1{,}076290,&{\frac {db_{\frac {1}{2}}^{(4)}}{d\alpha }}=&0{,}765517,&{\frac {db_{\frac {1}{2}}^{(5)}}{d\alpha }}=&0{,}530315,\\{\frac {db_{\frac {1}{2}}^{(6)}}{d\alpha }}=&0{,}361124\,;\\\\b_{\frac {3}{2}}^{(3)}=&2{,}537577.\end{alignedat}}$

Second et quatrième satellites.

$\alpha =0{,}356447000,$

d’où l’on a conclu

$b_{-{\frac {1}{2}}}^{(0)}=2{,}064048552,\qquad b_{-{\frac {1}{2}}}^{(1)}=-0{,}350692291.$

Ensuite

${\begin{alignedat}{3}b_{\frac {1}{2}}^{(0)}=&2{,}0685085,\qquad &b_{\frac {1}{2}}^{(1)}=&0{,}374917,\qquad &b_{\frac {1}{2}}^{(2)}=&0{,}1008003,\\b_{\frac {1}{2}}^{(3)}=&0{,}0300272,&b_{\frac {1}{2}}^{(4)}=&0{,}0093817,&b_{\frac {1}{2}}^{(5)}=&0{,}0030277\,;\\\\{\frac {db_{\frac {1}{2}}^{(0)}}{d\alpha }}=&0{,}415141,&{\frac {db_{\frac {1}{2}}^{(1)}}{d\alpha }}=&1{,}164667,&{\frac {db_{\frac {1}{2}}^{(2)}}{d\alpha }}=&0{,}599392,\\{\frac {db_{\frac {1}{2}}^{(3)}}{d\alpha }}=&0{,}263317,&{\frac {db_{\frac {1}{2}}^{(4)}}{d\alpha }}=&0{,}108542.\end{alignedat}}$