9] REPETITION OF SOME NUMERICAL CALCULATIONS ETC. 193 



Conducting the remaining calculations of No. 20 with the values of a 

 or a : a' derived from these results, there appears no difference to mention 

 except for Satellites III and IV, where we should have 



db db' 



-^- = 0-879085, .ys- = 1-546154, 



da. da 



in place of 0'878931, 1 "545882. 



(1223 April, 1862.) 



In No. 22, Laplace takes n 2n' = 3001300"; employing the mean motions 

 derived from Damoiseau which are given on p. 179, its value is 300 11 67" '4; 

 further Q" is erroneous; each term is too great by the factor 1 '000 1686; 



in the second equation for g, for 143201 read 143401, 



for -196037 read -193744, 



for 34596 read 34590, 



for 22518 read 22005, 



for -94603 read -94587; 



in the third equation for g, for 28176 read 28171, 



for -10279 read -10302; 



in the third equation for p, for 15494'62 read -15492'62. 



If these corrections are made it is verified that the value of g as- 

 sociated with the perijove of Satellite IV, and that of p associated with 

 the node of Satellite II, together with the other constants adopted or 

 derived by Laplace, still satisfy closely the equations for g and p. This 

 amounts to a verification of Laplace's calculation of the masses. 



(2024 August, 1875.) 



A. II. 



