ensuite
9. Or
donc, en faisant ces différentes substitutions, la formule des variations dues à la Terre deviendra
![{\displaystyle {\begin{alignedat}{2}r^{\scriptscriptstyle {\text{IV}}}[r''',r^{\scriptscriptstyle {\text{IV}}}]_{4}=&0{,}149168\qquad \qquad &\log .\quad &9{,}1736751,\\r^{\scriptscriptstyle {\text{IV}}}[r''',r^{\scriptscriptstyle {\text{IV}}}]_{5}=&0{,}097583&&8{,}9893743,\\r^{\scriptscriptstyle {\text{IV}}}[r''',r^{\scriptscriptstyle {\text{IV}}}]_{6}=&0{,}064765&&8{,}8113438,\\r^{\scriptscriptstyle {\text{IV}}}[r''',r^{\scriptscriptstyle {\text{IV}}}]_{7}=&0{,}043323&&8{,}6367227,\\r^{\scriptscriptstyle {\text{IV}}}[r''',r^{\scriptscriptstyle {\text{IV}}}]_{8}=&0{,}029019&&8{,}4626867,\\\ldots \ldots \ldots \ldots &\ldots \ldots \ldots &&\ldots \ldots \ldots ,\end{alignedat}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1faf96d24f184dc244a8a6e193605debc4b54db2)
![{\displaystyle {\begin{alignedat}{2}2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r''',r^{\scriptscriptstyle {\text{IV}}}]\ \,}{dr^{\scriptscriptstyle {\text{IV}}}}}=&0{,}8601308\qquad \qquad &\log .\quad &9{,}9345641,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r''',r^{\scriptscriptstyle {\text{IV}}}]_{1}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&2{,}378334&&0{,}3762546,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r''',r^{\scriptscriptstyle {\text{IV}}}]_{2}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&2{,}166493&&0{,}3357567,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r''',r^{\scriptscriptstyle {\text{IV}}}]_{3}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&1{,}820720&&0{,}2602432,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r''',r^{\scriptscriptstyle {\text{IV}}}]_{4}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&1{,}475006&&0{,}1687938,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r''',r^{\scriptscriptstyle {\text{IV}}}]_{5}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&1{,}170062&&0{,}0682088,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r''',r^{\scriptscriptstyle {\text{IV}}}]_{6}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&0{,}916176&&9{,}9619790,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r''',r^{\scriptscriptstyle {\text{IV}}}]_{7}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&0{,}712027&&9{,}8524965,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r''',r^{\scriptscriptstyle {\text{IV}}}]_{8}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&0{,}552119&&9{,}7420326,\\\ldots \ldots \ldots \ldots \ldots \ldots &\ldots \ldots \ldots &&\ldots \ldots \ldots .\end{alignedat}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/30666392b6dca398aa283d4963599d69aec593a4)
![{\displaystyle {\begin{aligned}-\mathrm {T} '''&\left[+\ \ 8{,}009396\,\sin \ \ (p^{\scriptscriptstyle {\text{IV}}}-p''')+18{,}250004\sin 2(p^{\scriptscriptstyle {\text{IV}}}-p''')\right.\\&-11{,}584334\sin 3(p^{\scriptscriptstyle {\text{IV}}}-p''')-\ \ 1{,}687239\sin 4(p^{\scriptscriptstyle {\text{IV}}}-p''')\\&-\left.\ \ 0{,}551945\sin 5(p^{\scriptscriptstyle {\text{IV}}}-p''')-\ \ 0{,}231833\sin 6(p^{\scriptscriptstyle {\text{IV}}}-p''')-\ldots \right].\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d2cc4dbf2222c058f2b126ac70657159602cdc65)
