« Page:Laplace - Œuvres complètes, Gauthier-Villars, 1878, tome 3.djvu/320 » : différence entre les versions
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\begin{alignat}{4} |
\begin{alignat}{4} |
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&-&2073''{,}&46\quad& &-&2063''{,}&58.sin(\text{anom. moy. ☉})\\ |
&-&2073''{,}&46\quad& &-&2063''{,}&58.\sin(\text{anom. moy. ☉})\\ |
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&-&18''{,}&52&&-&27''{,}&47.sin(\text{anom. moy. ☉})\\ |
&-&18''{,}&52&&-&27''{,}&47.\sin(\text{anom. moy. ☉})\\ |
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&+&166''{,}&36&&+&172{,}&53.sin |
&+&166''{,}&36&&+&172{,}&53.\sin |
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\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad +\text{anom. moy. ☉}\end{align}\right)\\ |
\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad +\text{anom. moy. ☉}\end{align}\right)\\ |
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&+& 236''{,}&11&&+& 232''{,}&41.sin |
&+& 236''{,}&11&&+& 232''{,}&41.\sin |
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\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad -\text{anom. moy. ☉}\end{align}\right)\\ |
\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad -\text{anom. moy. ☉}\end{align}\right)\\ |
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&-& 178''{,}&40&&-& 178''{,}&40.sin |
&-& 178''{,}&40&&-& 178''{,}&40.\sin |
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\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad +\text{anom. moy. ☾}\end{align}\right)\\ |
\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad +\text{anom. moy. ☾}\end{align}\right)\\ |
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&+&14905''{,}&87&&+&14902''{,}&47.sin |
&+&14905''{,}&87&&+&14902''{,}&47.\sin |
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\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad -\text{anom. moy. ☾}\end{align}\right)\\ |
\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad -\text{anom. moy. ☾}\end{align}\right)\\ |
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&+& 109''{,}&26&&+& 108''{,}&02.sin |
&+& 109''{,}&26&&+& 108''{,}&02.\sin |
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\left(\begin{align}&4.\text{long. moy. ☾}-4.\text{long. vraie ☉}\\&\qquad -2\text{anom. moy. ☾}\end{align}\right)\\ |
\left(\begin{align}&4.\text{long. moy. ☾}-4.\text{long. vraie ☉}\\&\qquad -2\text{anom. moy. ☾}\end{align}\right)\\ |
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&+& 384''{,}&57&&+& 381''{,}&17.sin |
&+& 384''{,}&57&&+& 381''{,}&17.\sin |
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\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&-\text{anom. moy. ☾}+\text{anom. moy. ☉}\end{align}\right)\\ |
\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&-\text{anom. moy. ☾}+\text{anom. moy. ☉}\end{align}\right)\\ |
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&+& 146''{,}&91&&+& 143''{,}&52.sin |
&+& 146''{,}&91&&+& 143''{,}&52.\sin |
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\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&-\text{anom. moy. ☾}-\text{anom. moy. ☉}\end{align}\right)\\ |
\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&-\text{anom. moy. ☾}-\text{anom. moy. ☉}\end{align}\right)\\ |
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&+& 121''{,}&30&&+& 129''{,}&63.sin |
&+& 121''{,}&30&&+& 129''{,}&63.\sin |
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(\text{anom. moy. ☾}-\text{anom. moy. ☉})\\ |
(\text{anom. moy. ☾}-\text{anom. moy. ☉})\\ |
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&-& 66''{,}&05&&-& 70''{,}&06.sin |
&-& 66''{,}&05&&-& 70''{,}&06.\sin |
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\left(\begin{align}&\text{long. moy. ☾}-\text{long. vraie ☉}\\&\qquad -\text{anom. moy. ☾}\end{align}\right)\\ |
\left(\begin{align}&\text{long. moy. ☾}-\text{long. vraie ☉}\\&\qquad -\text{anom. moy. ☾}\end{align}\right)\\ |
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&-& 180''{,}&86&&-& 177''{,}&16.sin |
&-& 180''{,}&86&&-& 177''{,}&16.\sin |
||
\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad -2\text{anom. moy. ☾}\end{align}\right)\\ |
\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad -2\text{anom. moy. ☾}\end{align}\right)\\ |
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&+& 192''{,}&90&&+& 186''{,}&42.sin |
&+& 192''{,}&90&&+& 186''{,}&42.\sin |
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\left(\begin{align}&2.\text{long. moy. du nœud de l'orbe}\\&\qquad +\text{lunaires}-2.\text{long. vraie ☉}\end{align}\right)\\ |
\left(\begin{align}&2.\text{long. moy. du nœud de l'orbe}\\&\qquad +\text{lunaires}-2.\text{long. vraie ☉}\end{align}\right)\\ |
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&+& 35''{,}&49&&+& 52''{,}&47.sin |
&+& 35''{,}&49&&+& 52''{,}&47.\sin |
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\left(\begin{align}&\text{long. moy. ☾}-\text{long. vraie ☉}\\&\qquad +\text{anom. moy. ☉}\end{align}\right)\\ |
\left(\begin{align}&\text{long. moy. ☾}-\text{long. vraie ☉}\\&\qquad +\text{anom. moy. ☉}\end{align}\right)\\ |
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&+& 15''{,}&12&&+& 9''{,}&57.sin |
&+& 15''{,}&12&&+& 9''{,}&57.\sin |
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\left(\begin{align}&\text{long. moy. ☾}-\text{long. vraie ☉}\\&\qquad -\text{anom. moy. ☉}\end{align}\right)\\ |
\left(\begin{align}&\text{long. moy. ☾}-\text{long. vraie ☉}\\&\qquad -\text{anom. moy. ☉}\end{align}\right)\\ |
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&-& 14''{,}&20&&-& 11''{,}&42.sin |
&-& 14''{,}&20&&-& 11''{,}&42.\sin |
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\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad +2\text{anom. moy. ☾}\end{align}\right)\\ |
\left(\begin{align}&2.\text{long. moy. ☾}-2.\text{long. vraie ☉}\\&\qquad +2\text{anom. moy. ☾}\end{align}\right)\\ |
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&-& 32''{,}&72&&-& 38''{,}&27.sin |
&-& 32''{,}&72&&-& 38''{,}&27.\sin |
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\left(\begin{align}&4.\text{long. moy. ☾}-4.\text{long. vraie ☉}\\&\qquad -\text{anom. moy. ☾}\end{align}\right)\\ |
\left(\begin{align}&4.\text{long. moy. ☾}-4.\text{long. vraie ☉}\\&\qquad -\text{anom. moy. ☾}\end{align}\right)\\ |
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\end{alignat} |
\end{alignat} |