92 



and 



LOED KAYLEIGH ON THE ACOUSTIC SHADOW OF A SPHERE, 

 10 Xo (10) = cos 10 ism 10, 



10 2 Xl (10) = -A, cos 10 + sin 10 + * (cos 10 -& sin 10). 

 The angle (10 radians) = 540 + 32 57''4G8 ; thus 



sin 10 = - -5440210, cos 10 = '8390716, 



10 Xo = - -8390716 + -5440210 i, 

 10 2 Xl = -6279282 - 78466957:. 



From these, X .,, Xs> are to ^ e com P utecl ' m succession from (8), which may be 

 put into the form 



io+~ x ,, +1 = ' 2n ^~ 10 " +1 x - io-x-1- 



For example, 



10 3 X2 = -3( lo2 Xi) " 10 Xo = + '6506931 -- 7794218 i. 



When the various functions 10" +1 X// have been computed, the next step is the 

 computation of the denominators in (15). We write 



D,= 10" +1 { X; ,_ 1 -(, + l) x j 



= 10 X I0"x-i -( + 1)10" +1 X (18), 



and the values of D,, are given along with 10 ii+1 X ,, in the annexed table. 



