198 PERTURBATION OF THE ORBIT OF THE NOVEMBER METEORS. [10 

 we have 



X = 2^ \( A + * a ' e '} b ~ ( Ac> + a "> C S ^ bl + ^ a ' e ' C S 2/3 

 Y = ~ \Bb, - (Be' cos /8 + a' sin ) 6, + 1 aV sin 2/8 &,1 , 



Now writing, after Gauss, 



1 P T si 



., . \v/ 



.1 /j\ -.'i 2"7r I n / 3 



p= i r 21 



6 + n sin 2 6) * 

 put 



20 = 77 + ^, 



r = K" ( 1 + a)", ri = K- ( 1 a)-, 



and we have 



o ( 1 2a COS , 



L\^ 



-t-a'f = 4^ (6o + 6l); 



moreover we know that 



a 

 Hence 



Now returning to the formula for <S, 



*S= X sin CK' sin i Y cos o/ sin i + Z cos i, 

 and remarking that the focus of the orbit of the disturber lies in the 



