KT7NGL. SV. VET. AKADEMIENS HANDLINGAR BAND 60. N:0 8. 



21 



We start at the determinations from the equation K + cos a cos § X + sin a cos o 

 Y + sin oZ = V, where K means a systematic correction to the radial velocity V and 

 X, Y and Z are defined by the equation: 



v 2 = x 2 + r + z 2 , 



Y 



(10) 



sin D 



Z 



where A and 2) signify the right ascension and declination for the Apex and V the 

 speed of the solar motion. 



Concerning the appropriateness of this method to determine Apex vve beg to 

 call attention to the fact that, according to Manson's researches (A. J. 713), »it is 

 not necessary to assume that the radial motions are principally due to the motion 

 of the sun or that the exponential Law of Error is followed by the peculiar motions 

 of stars used in the solution». 



Table III. 



N. G. C. 



^lOOO 



ö ieoo 



V 



5024 



197,°0 



+ 18,°7 



- 170 km. sec 



5272 



204,4 



+ 28,9 



-125 



5904 



228,4 



+ 2,5 



+ 10 



6205 



249,5 



+ 36,7 



-300 



6333 



258,3 



-18,4 



+ 225 



6341 



258,5 



+ 43,3 



-160 



6626 



274,6 



-24,9 



± o 



6934 



307,3 



+ 7,1 



-410 



7078 



321,3 



+ 11,7 



- 95 



7089 



322,1 



- 1,3 



- 10 



We obtain, according to the equation given above the follovving equations of 

 condition, where 1000 km. is taken as a unit for the radial motions: 



K - 0,906 X - 0,277 Y + 0,321 Z = - 0,170 



K— 0,797 —0,362 +0,483 — 0,125 



if — 0,663 —0,747 +0,044 +0,010 



K — 0,281 —0,751 +0,598 —0,300 



K — 0,192 —0,929 —0,316 +0,225 



-K" — 0,145 —0,713 +0,686 —0,160 



K + 0,073 — 0,904 — 0,421 0,000 



