ensuite
enfin
12. La valeur de n {\displaystyle n} sera ici
et la formule des inégalités dues à Mercure deviendra
![{\displaystyle {\begin{aligned}r^{\scriptscriptstyle {\text{IV}}}[r^{\scriptscriptstyle {\text{IV}}},r^{\scriptscriptstyle {\text{V}}}]\ \,=&1{,}086081\qquad \qquad &\log .\quad &0{,}0358622,\\r^{\scriptscriptstyle {\text{IV}}}[r^{\scriptscriptstyle {\text{IV}}},r^{\scriptscriptstyle {\text{V}}}]_{1}=&0{,}605705&&9{,}7822615,\\r^{\scriptscriptstyle {\text{IV}}}[r^{\scriptscriptstyle {\text{IV}}},r^{\scriptscriptstyle {\text{V}}}]_{2}=&0{,}246589&&9{,}3919731,\\r^{\scriptscriptstyle {\text{IV}}}[r^{\scriptscriptstyle {\text{IV}}},r^{\scriptscriptstyle {\text{V}}}]_{3}=&0{,}110767&&9{,}0444097,\\r^{\scriptscriptstyle {\text{IV}}}[r^{\scriptscriptstyle {\text{IV}}},r^{\scriptscriptstyle {\text{V}}}]_{4}=&0{,}052084&&8{,}7167062,\\\ldots \ldots \ldots \ldots &\ldots \ldots \ldots &&\ldots \ldots \ldots ,\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8b99096694d44f955f2cb344aea302af25cb2681)
![{\displaystyle {\begin{alignedat}{2}2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r^{\scriptscriptstyle {\text{IV}}},r^{\scriptscriptstyle {\text{V}}}]\ \,}{dr^{\scriptscriptstyle {\text{IV}}}}}=&-2{,}589705\qquad \qquad &\log .\quad &{\overline {0}}{,}4132503,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r^{\scriptscriptstyle {\text{IV}}},r^{\scriptscriptstyle {\text{V}}}]_{1}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&-2{,}771835&&{\overline {0}}{,}4427674,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r^{\scriptscriptstyle {\text{IV}}},r^{\scriptscriptstyle {\text{V}}}]_{2}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&-1{,}638514&&{\overline {0}}{,}2144502,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r^{\scriptscriptstyle {\text{IV}}},r^{\scriptscriptstyle {\text{V}}}]_{3}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&-0{,}961669&&{\overline {9}}{,}9830257,\\2r^{\scriptscriptstyle {\text{IV2}}}{\frac {d[r^{\scriptscriptstyle {\text{IV}}},r^{\scriptscriptstyle {\text{V}}}]_{4}}{dr^{\scriptscriptstyle {\text{IV}}}}}=&-0{,}557815&&{\overline {9}}{,}7464901,\\\ldots \ldots \ldots \ldots \ldots &\ldots \ldots \ldots \ldots &&\ldots \ldots \ldots .\end{alignedat}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bcb3e32920051f9f93393dca52bf0b53a739d0c1)
sera ici
![{\displaystyle -\mathrm {T} ^{\scriptscriptstyle {\text{V}}}\left[0{,}136642\sin(p^{\scriptscriptstyle {\text{V}}}-p^{\scriptscriptstyle {\text{IV}}})-0{,}066733\sin 2(p^{\scriptscriptstyle {\text{V}}}-p^{\scriptscriptstyle {\text{IV}}})-\ldots \right].}](https://wikimedia.org/api/rest_v1/media/math/render/svg/47670a11a2ba0f8bdb8cb930903e1a9ba63ccee8)
