126 



2". a correction for the slowly varying error (secnlar term) which 

 was deduced from the annual means of the A«. 



The sum of tliese corrections was reduced to corrections of the 

 R.A. by means of Newcomb's factors F and {v. a.). 



b. Corrections for })ersonal errors in the observation of the times 

 of transit of the two limbs of the moon. 



After mature consideration Prof. Bakhuyzf-n advised me to introdiu^e 

 new corj-ections deduced from Brown's lunar theorj' and corresponding 

 to the solar parallax 8". 80, instead of tiiose given above under 1°. 



In this it was kept in view, that inequalities with small amplitude 

 only need to be introduced for our purposes, when their period is 

 approximately commensurable with that of the mean anomaly g, as 

 otherwise their influence on the average almost disappears. 



The new inequalities calculated by Bkown, or their differences 

 with those according to Hansf-n, were taken from the third paper of 

 Battekmann ^}, where they appear on page J 6 — 18, numbered 1 — 45. 



Most of them are perturbations by the planets, some of them are 

 corrections to the perturbations due to the figure of the earth, and 

 a few are solar perturbations. The perturbations 23^29 by the 

 planets, the solar perturbation N". 39 and the term N", 44 produced by 

 the figure of the earth, when brought into the form asin{g-\~'^ 

 all show values of x^ with a {)eriod between 9 and 38 years. They 

 were not yet introduced as they stand in immediate i-elation to the 

 results to be derived from m.j investigation. 



The cori-ections introduced were the following: 



+ 1".37 sin D 

 -f 0".20 

 -j- 0".31 



— 0\20sin{D^g') 



— 0".12si?i{2D—g) , 

 + 0".25 ,mi g' 



— Ü'M9 sin ID. 



The values of these terms were collected in two now tables of 

 the same form as Newcomb's tables VII and VIII. 



In order not to break the connection with the years 1895 — 1902 

 too much, the old corrections were used for the years 1890 — 1894, 

 so that 1890 — 1902 form a homogeneous whole. From the results 

 for the years 1907 — 1909, which have been calcnlated with the old 

 and with tlie new corrections, which gave only insignificant differences, 

 it appears however, that the whole period 1890 — 1910 may also be 

 considered as one whole. 



mi {D — g) 



^) Beobachtungs-Ergebnisse der Königlichen Slernwarte zu Berlin n^. 13 1910, 



