296 DR. S. CHAPNfAN ON THE DIURNAL VARIATIONS OF THE 



terms containing d tt> d d* It is convenient to write down first of all the values of 

 /,///'./'., A omitting d, and higher terms. 



cos S cos 0-e l sin ^ sin 6, 

 fi = &i cos S cos 0-2e^ sin ^ sin 6, 

 f a = e^ cos S cos 0. 



R/(0)= -n 



Q/]. ' 



As already stated, in the last two lines we have substituted a- = n I in working 

 out the numerical coefficients, as also in all other terms with d 2 as factor. 





w , 



n(n+8)(2n-l)(n-l) 



+ 3 (n- ij !(n-2) (+ 1) (2n+ 1)} Q/ 



If in the above expressions the term Q,,- 1 occurs, it may be replaced by 



