Page:Joseph Louis de Lagrange - Œuvres, Tome 5.djvu/269

${\begin{array}{ll}{\text{Nœud moyen}}\ldots &41''{,}1627-0''{,}0853\mu -2{,}6588\mu '-0''{,}0759\mu ''\\&-6''{,}6908\mu '''+0''{,}3402w^{\scriptscriptstyle {\text{V}}}m,\\{\text{Inclin. moyenne}}.&-0''{,}0162-0''{,}0055\mu -0''{,}0381\mu '+0''{,}0021\mu ''\\&+0''{,}0253\mu ^{\scriptscriptstyle {\text{V}}}.\end{array}}$

Mercure.

${\begin{array}{ll}\mathrm {Aph{\acute {e}}lie} \ldots \ldots \ldots &56''{,}9938+0''{,}0790\mu +1''{,}5599\mu '+0''{,}0408\mu ''\\&+0''{,}8391\mu ''+4''{,}1412\mu ^{\scriptscriptstyle {\text{IV}}},\\\mathrm {{\acute {E}}quation} \ldots \ldots \ldots &0''{,}0216+0''{,}0002\mu -0''{,}0126\mu '-0''{,}0022\mu ''\\&+0''{,}0058\mu '''+0''{,}0304\mu ^{\scriptscriptstyle {\text{IV}}},\\{\text{Nœud vrai}}\ldots \ldots &41''{,}3513-0''{,}1176\mu -2''{,}1843\mu '-0''{,}1431\mu ''\\&-0''{,}8696\mu '''-5''{,}5698\mu ^{\scriptscriptstyle {\text{IV}}}-0''{,}0976\mu ^{\scriptscriptstyle {\text{V}}},\\{\text{Inclin. vraie}}\ldots &0''{,}2043+0''{,}0104\mu +0''{,}0987\mu '+0''{,}0006\mu ''\\&+0''{,}0946\mu ^{\scriptscriptstyle {\text{IV}}},\\{\text{Nœud moyen}}\ldots &45''{,}5408-0''{,}0691\mu -1''{,}3968\mu '-0''{,}0292\mu ''\\&-0''{,}8696\mu '''-2''{,}4278\mu ^{\scriptscriptstyle {\text{V}}},\\{\text{Inclin. moyenne}}.&-0''{,}1530-0''{,}0032\mu -0''{,}0289\mu '+0''{,}0006\mu ''\\&-0''{,}1215\mu ^{\scriptscriptstyle {\text{IV}}}.\end{array}}$

Soleil.

${\begin{array}{ll}\mathrm {Apog{\acute {e}}e} \ldots \ldots \ldots &63''{,}6450+0''{,}1914\mu +6''{,}7938\mu '+1''{,}5461\mu ''\\&+5''{,}1969\mu ^{\scriptscriptstyle {\text{IV}}}-0''{,}4165\mu ^{\scriptscriptstyle {\text{V}}},\\\mathrm {{\acute {E}}quation} \ldots \ldots \ldots &-0''{,}1766-0''{,}0008\mu -0''{,}1602\mu '-0''{,}0494\mu ''\\&+0''{,}0418\mu ^{\scriptscriptstyle {\text{IV}}}-0''{,}0080\mu ^{\scriptscriptstyle {\text{V}}}\\\end{array}}$

${\begin{aligned}&\mathrm {Mouvement\ des\ points} \\&\mathrm {{\acute {e}}quinoxiaux\ en} \\&\mathrm {longitude} .\end{aligned}}\left\{{\begin{aligned}&0''{,}2614-0''{,}0123\mu -0''{,}0485\mu '\\\\&\quad +0''{,}0218\mu ''+0{,}2809\mu ^{\scriptscriptstyle {\text{IV}}}+0'',0196\mu ^{\scriptscriptstyle {\text{V}}}.\end{aligned}}\right.$

${\begin{aligned}&\mathrm {Diminution\ de\ l'obli-} \\&\ \ \mathrm {quit{\acute {e}}\ de\ l'{\acute {e}}cliptique.} \end{aligned}}\ \ \left\{{\begin{aligned}&0''{,}6156+0''{,}0139\mu +0''{,}1586\mu '\\&\quad +0''{,}0103\mu ''+0''{,}4244\mu ^{\scriptscriptstyle {\text{IV}}}+0''{,}0084\mu ^{\scriptscriptstyle {\text{V}}}.\\\end{aligned}}\right.$

Ces valeurs, étant multipliées par $100,$ donneront les variations séculaires, et pour cela il n’y aura qu’à faire avancer de deux chiffres la virgule qui sépare les décimales.