226 EFFECT OF THE LONG INEQUALITY OF JUPITER AND SATURN. [12 



where v = * and the degrees, &c. are sexagesimal ; and (ibid, tome xi. 



oOU 



pp. 106, 273), 



1=160 l'20"-3 + 109256"719rt _, , 

 P. 14 50' 40"'6+ 43996"-127*J Ep Ch ] 



If we integrate we obtain for Satellite IV the inequality 



or in seconds of synodic time, the coefficients are for epoch 1850 : 



coefficient change in 500 years 



IV 12 s -344 -O s '1488, 



whence we derive 



I 8 '0265 -0 8 '0003, 



II 6 '757 -O s '0091, 



III 2 8 '235 -0 8 '0269. 



[June, 1885. 



