888 



the numbers in brackets are logarithms ; ii, lias been expressed in 

 degrees, which fact has been denoted bj' the symbol (0). 

 The quantity ^, can be determined by the equation: 



/i = 



' ay 



dööp 



(31) 



r^yi r ^y 



o^' + Lö^> + Laoö7>Jo'^ 



the symbol [ j, being an abbreviation for [ ]p=^„, ,=,,, e=^^. 



The right member is the constant term of an even periodic function 

 of T, which changes its sign if t is replaced by .t — t. Thus: 



X. = 0. (32) 



5. The development of the function — from § 2 of this paper 



oe 



enables us to compute the numerical value of ^, and ^,. To derive 

 the function ~ , the variable ?/; is to be expressed as function of 



0/(11]) 

 T in the development of — ^ — - as function ot ?/; according to for- 

 mula (10). 



From the relation (Investigations p. 26) 



w -^ xtin2w=zx, jr =r 4- 0.00318, 



results : 



J! I COS [p -{''2)t — COS (p 2) T } -\- \ . . \ X* -\- 



(33 



(34) 



cos p w :=■ cos p r - 



and thus: 



cos 2 IV — cos2t = -f 0.0032 — 0.0032coa4T, 

 CO» Alo — cos At = -{- 0.01 cos 2r — 0.01 co»6x. 

 With aid of these formulas the following value for the development 



dn 



-^ , as function of t, can be deduced : 



of 



Thus 



m 



10' 



108153 



— 484 cos 2 X 



-f 23 cosix 



-\- 1 co»6t. 



:— 108153 ; 



(35) 



T 



1^' • 1 / — / I \dx=— 242 sin 2t + 6 sin 4i 



(36) 



