PHYSICAL ASTRONOMY, 277 



and that which must be applied to S is 



.(48'. 44" n X 0".l) X 

 sin (5 S 2 I + 5.34/.8" n X 58".88). 



These equations are to one another nearly in the ra- 

 tio of 3 to 7. As the quantity 5S 2 I n X 

 58".S8, requires 918.76 years to increase from to 

 360 degrees, therefore the above equations require 

 that period to run through all their changes. See 

 LA PLACE, Mem. Acad. des Sciences, 1785, 1786, 

 Also LA LANDE, Astron. torn. in. 3670. 



Besides these two great inequalities, 

 there are ten others, arising from the action of 

 Saturn, to which Jupiter is subject, and which 

 may amount when greatest to 11 '5 6" ; there 

 are also six to which Saturn is subject from 

 the action of Jupiter, and these may amount to 



For the particular forms of these equations, see LA 

 LANDE, ibid, and VINCE, Astron. vol. in. p. 94-. 

 and 102. 



276. The motion of the apsides, and the 

 change of eccentricity in the orbits of Jupiter 

 and Saturn, are chiefly produced by the ac^ 

 tion of those planets on one another; but in 

 the disturbance which the planes of their orbits 

 suffer, the other planets have a sensible effect. 



JUPITER. 



