144 



DETEEMINATION OF ELLIPTIC DEBITS. 



VIII. 



The logarithms of the calculated values of the intervals of time 

 exceed those of the given values by '0002416 for the first interval (r s ) 

 and '0002365 for the second (r^. Therefore, since the corrections for 

 aberration have been incorporated in the data, we set for the correction 

 of the formula (for the second hypothesis) 



A log TI = - '0002365 A log r 3 = - '0002416 

 This gives A log A t = '0000026 A log A B = - '0000025 

 A log B l = - -0004872 A log 2 = - -0004782 A log B 3 = - -0004665 

 The new values of the logarithms of A v A 3 are 



log A l = 9-6854923 log A B = 9-7120418 



Applying these corrections to equations III^ III 2 , III 3 ,* we get the 

 following : 

 r* = g^ +-8645336 



a 1= - [8-6700193] (g 1 - 



&! = [9-6687241] r^* II corrected. 



ft = + [9-6833950] ( 3l + -0900552)(1 + j^) 



7l = - [7-9242073] (ft + -3874081X1 + ^) 



-1006681 



a 2 = + [9-2282738] (q 2 + 1'7286820)(1 - 



ft = - [9-9900800] (g 2 - -0361309X1 - 

 72 = _ [9-1026549] (g 2 - '9314223)(1 - 



III 2 corrected. 



* The corrections may be made without rewriting the equations. 



