

32 



THE ORBIT OF URANUS. 



Action of Venus, 

 Earth, 

 Mars, 

 Jupiter, 

 Saturn, 

 Uranus, 

 Neptune, 



t( 

 tt 

 It 

 tt 

 tt 



Sum, 



log a 



The uncorrected mean distance is deduced from the mean motion by the rela- 

 tion 



a 



We thus have 



Uncorrected mean dist. (log) 

 Action of the planets 

 Corrected log a 



The following functions of the elements are derived from the preceding ele- 

 ments by well known formulae: 



y (mutual inclination) 1 57' 24.4" 



log sin i y = a 8.232373 



log cos \ y 9.9999367 

 t (long, of ascending node of Saturn on Uranus) 126 44' 51" 



o 41 31 40 



vf 323 18 21 



' o = (o) 281 46 41 



log sin (o) 9.990759 



log cos ( u ) +9.309888 



sin 2(o) 0.39966 



cos 2(o) 0.91667 



a 0.497249 

 1 



4.04438 



a 



The following functions of a, necessary in computing the coefficients h, are 

 derived from Eunkle's Tables, published by the Smithsonian Institution: 



