Page:Laplace - Œuvres complètes, Gauthier-Villars, 1878, tome 4.djvu/135

$+m'\left\{{\begin{aligned}&-0{,}00070942\\&+0{,}04137743.\cos \ \ (n't-n''t+\varepsilon '-\varepsilon '')\\&+0{,}00091726.\cos 2(n't-n''t+\varepsilon '-\varepsilon '')\\&+0{,}00021712.\cos 3(n't-n''t+\varepsilon '-\varepsilon '')\\&+0{,}00007409.\cos 4(n't-n''t+\varepsilon '-\varepsilon '')\\&+0{,}00002980.\cos 5(n't-n''t+\varepsilon '-\varepsilon '')\\&+0{,}00001318.\cos 6(n't-n''t+\varepsilon '-\varepsilon '')\end{aligned}}\right\}$

$+m''\left\{{\begin{aligned}&0{,}00006850\\+&0{,}00075191.\cos \ \ (n'''t-n''t+\varepsilon '''-\varepsilon '')\\-&0{,}0044961.\cos 2(n'''t-n''t+\varepsilon '''-\varepsilon '')\\-&0{,}00039801.\cos 3(n'''t-n''t+\varepsilon '''-\varepsilon '')\\-&0{,}00010474.\cos 4(n'''t-n''t+\varepsilon '''-\varepsilon '')\\-&0{,}00003569.\cos 5(n'''t-n''t+\varepsilon '''-\varepsilon '')\\-&0{,}00001379.\cos 6(n'''t-n''t+\varepsilon '''-\varepsilon '')\end{aligned}}\right\}$

${\begin{aligned}&+0{,}00003944\\&-0{,}00003944.\cos(2{\rm {M}}t-2n'''t+2{\rm {E}}-2\varepsilon ''')\,;\end{aligned}}$

$\delta v'''=m\left\{{\begin{alignedat}{3}&+&14''&{,}2458.\sin \ \ &(nt-n'''t+\varepsilon -\varepsilon ''')\\&-&0''&{,}0206.\sin 2&(nt-n'''t+\varepsilon -\varepsilon ''')\end{alignedat}}\right\}$

$+m'\left\{{\begin{alignedat}{3}&&22''{,}4521.\sin \ \ &(n't-n'''t+\varepsilon '-\varepsilon ''')\\&-&0''{,}3085.\sin 2&(n't-n'''t+\varepsilon '-\varepsilon ''')\\&-&0''{,}0540.\sin 3&(n't-n'''t+\varepsilon '-\varepsilon ''')\end{alignedat}}\right\}$

$+m''\left\{{\begin{alignedat}{3}&-&35''{,}4372.\sin \ \ &(n''t-n'''t+\varepsilon ''-\varepsilon ''')\\&-&15''{,}9570.\sin 2&(n''t-n'''t+\varepsilon ''-\varepsilon ''')\\&-&3''{,}3293.\sin 3&(n''t-n'''t+\varepsilon ''-\varepsilon ''')\\&-&1''{,}0197.\sin 4&(n''t-n'''t+\varepsilon ''-\varepsilon ''')\\&-&0''{,}3735.\sin 5&(n''t-n'''t+\varepsilon ''-\varepsilon ''')\end{alignedat}}\right\}$

$+12''{,}9881.\sin(2n'''t-2{\rm {M}}t-2\varepsilon '''-2{\rm {E),}}$