602 SOLUTION OF THE EQUATIONS. 



Thus the values of g 7 l and A 7 4 are more important than the values of g 

 and A 6 4 . 



Similarly in solving the equations with m = 4 and n even, it is found that 

 # 4 4 = -0029684, A 4 4 = -0217744, g*= '0642604 and A 4 = "0603230 ; 

 so that g and A 6 4 are more important than g* and A 4 4 . 



9. The relative importance of magnetic constants of different orders is 

 well shewn by the solution of the final equations for A/, h* and A 7 2 for the 

 period 1880. 



Keeping in the terms containing A 7 2 , the final equations derived by com- 

 bining the equations for X, Y and Z are 



24-1400624 A/- -2579706 A 5 2 - '1213933 A/ = '19111, 

 - -2579706 A 3 2 + 2-1 784697 A/- '0719819 h 7 *= -13841, 

 - -1213933 Ay- -0719819 V+ -1887180 V = -'02852. 



The solution of these equations gives the values 



hi= -00794, hi= -06041, A 7 2 = - -12298 (British units). 



Converting these into C.G.s. units, we get 



A 3 2 =-000366, /&== -0027855, A 7 2 = -'00567. 



Comparison with the tables of values of magnetic constants given below 

 (p. 605) shews that the effect of keeping in the constant A 7 2 is to make 

 a considerable change in the values of the constants A 3 2 and A/. 



The corresponding equations for fj~, g- and g 7 " are 



24-14006240,'- '2579706 g t > - '1213933 # 7 2 = -14-62295, 

 -2579706#, 2 + 2-l784697& 2 --0719819# 7 2 = - 1-11044, 

 -1213933ft'- -07198192 6 2 +-1887180# 7 2 = "05785, 



and the solution of these equations gives the values 



ft'=- -613670, ft'= --592789, ft= - '314308 (British units), 

 or ft'=- -028295, ft'=- '027332, ^ 7 2 = - '014492 (c.G.S. units). 



These values of g* and ft 2 do not differ much from the values obtained 

 and recorded in the Table (see p. 605), when # 7 2 is neglected. 



