172 THE ORBIT OF URANUS. 



Giving these nineteen equations equal weights, we have the second of the 

 following solutions, and the second of the series of residuals the first corres- 

 ponding to the primitive solution. Solving them again and assigning the weights 

 attached to the respective equations, which I judge to be tnose to which they 

 are entitled when a liberal allowance is made for systematic errors of observa- 

 tion and of comparison of theory with observations, adding also the equations 

 given by the observations of Flamstead and Le Monnier, which are as follows : 



1690 0.05V 0.75V 0.15"e +0.0e5 2 7t -f 0.15V = "- 5 ; /> 2^' Wt > l 

 1715 0.1 -1.1 0.0 -0.2 +0.1 = .5 ^ 1 



1769 0.2 -1.2 -0.3 +0.2 +0.2 = +2 .2 1 1 



we have the second solution, and the third series of residuals. 



(I) (2) (3) 



M-! -0".39 -0.21 



5H -0.38 -0.19 



&e -0.33 -0.15 



<?5 2 7t +0.25 +0.19 



ay o -1.02 0.49 



RESIDUALS. 

 Year. AJ A,Z A 3 Z 



3' 

 n 



