59G 



DR. GOLDSCHMIDT ON THE OBSERVATIONS 



them all to the 1st of October, employing 4' 57"'l as the secular 

 change in the year 1838 to 1839. We thus obtain 



Lastly, we obtain from the six years the following mean 

 values of these differences : — 



The numbers of the first column give the differences between 

 the forenoon declination in the several months, and the mean 

 forenoon declination in the whole year ; applied with their sign 

 to the mean declination of the year, they give the mean fore- 

 noon declinations of the several months freed from the secular 

 change, so far as the latter can be derived from six years^ ob- 

 servations. The same remark applies to the second column in 

 respect to the afternoon declinations. 



If we rejjresent these two columns by periodical functions, 

 we find for the first 



— 83"'7 cos <+> — 118"-3 sin <i> — 45"-8 cos 2 45 + ll"-2 sin 2 <p 



— 12"-7 cos 3 $ — 9"-2 sin 3 4>- lS"-5 cos 4 4> + 13"-2 sin 4 'p 



— ll"-3 cos 5 4> — 0"-3 sin 5 4)— 4"-9 cos 6 (p. 

 For the second column we find 



