132 



I _j_ 0" 66 sin \ g -h 298^47 + 0°10J075 t \ 

 -f .08 sin I ^ + 92 .28 — .020582 t \ 

 -f .07 sin I ^ -f 350 .40 -f .062456 t \ 

 -f .07 sin j (/ + 179 .20 — .062456 t \ 

 + .04 sin I (/ + 87 .95 + .035364 t \ 



Ï1 +1 .14 sin \g-\- 12 .85 -f .056550 t \ 



III _|_ .44 sin I (/ + 322 .7J — .026541 1 \ 



IV -f .28 sin 1 .(/ + 2 CO -f 180° \ 



V -f .50 sin ( cfl — 10°6 ) cos g 



in which t is expressed in days counted from 1900.0. For Newcomb*» 

 first series, on account of their smaller accuracy, only tlie 5 largest 

 terms, marked here by the numbers I— V were calculated. 



As these corrections must be applied to the tabular values and as 

 k and h have been taken in the sense calculation minus observation, 

 1 have now, indicating BR0w^■'s teims by Br, formed — h — Br 

 r^^nd — k — Br, so that these differences represent the corrections 

 which, according to the observations, must be applied to the tables 

 after they have been corrected according to Brown. 



After this the corrected values of — A and — k were freed from 

 their constant parts, which depend upon the corrections, which are 

 still required for the eccentricity and the longitude of the perigee 

 y — /i^, := _j- 2 (Se, — kc = — ^ e (i:r). This was done in two different 

 ways. The first time 1 regarded the mean values of — h — Brand 

 - — k — Br for each period as the constant parts to be subtracted from 

 the individual values. As the two following tables. Table I and 11, 

 show;, the results thus found for — he and — k,. for the three series 

 are in fairly good accordance with each other. 



The tables also contain the results — h^. and — k,. freed from the 

 constant parts. 



A second time 1 have tried to represent the constant parts for 

 the three series together by quantities varying linearly with the 

 time. In order to be able to dispose of 4 periods of about equal 

 length, 1 divided the last into two parts, and calculated he and kc 

 for each half-series (these values differed not much from those for 

 the whole series). I had therefore for each of the two unknown 

 quantities four equations of the form — hc=a-\-bt and —kc^a'-]-b'L 

 To the first series of Newcomb I gave a weight 1, and to each of 

 the other three series a weight 3. The results found were: 

 az= — 0".62 6 = + 0".0034 



^'=1— 0".47 6'= — 0".0090 



epoch 1894.5. 



