Stellar velocity distribution 



15 



From this comparison we see that the large velocities are mainly to be found 

 On the other side these stars are exclusively of so 



TABLE II. 



Distribution over the sky of stars, whose 

 velocities in the line of sight are known. 



amongst the fainter stars 

 called later types. 



11. The following table shows the 

 distribution of the remaining stars over the 

 sky. The second column contains the number 

 of stars, whose velocities do not come up to 

 14 Sm per St. The other columns contain 

 the number of rejected stars (see table II). 



In each square the stars were now 

 distributed according to their spectral classes 

 and magnitudes, brighter and fainter than 

 5.0. For every group the mean displace- 

 ment was computed. 



The table HI gives these results. The 

 table contains the number of stars, the mean 

 displacements in each square and finally the 

 number of rejected stars. The means are di- 

 rectly computed. In the two groups, «magni- 

 tude <4.9» and »all stars», five Oe class stars 

 are added. 



12. From these means we now go to 

 determine the solar apex and related con- 

 stants. 



Let us assume that the velocity of the 

 sun relative to the stars is S Siriometer, and 



let this velocity projected in the usual astronomical system of coordinates 

 K 2 — have the components 



U 0 ", T 



Square 



n 





Square 



n 



_ 



A l 



18 





A 



17 





A s 



30 



' 





24 













41 





jB, 



42 



2 



D t 



39 





B, 



36 



3 





24 



— 



/''a 



28 



1 



n ä 



12 





Bt 



27 



1 



A 



15 



_ 



Bs 

 B e 



30 



2 





25 



3 



24 







37 





B- 



24 



3 





31 





B 8 



35 



1 



1 



31 





Br, 



42 



2 





19 





B l0 



33 



1 



E, 



36 



2 



C\ 



24 



1 



E. 2 



38 



1 





29 



2 



E* 



45 



2 



c. 



55 



2 



E t 



69 



2 





34 



1 





55 







25 





E e 



51 







23 





El 



52 



1 





35 





E* 



46 



1 



OL 



31 





E 9 



36 



1 



& 



25 





e 10 



35 





c t0 



40 



2 









o lt 



29 



1 



F, 



40 





C 1S 



30 







29 



1 



ie system 



W' 1 



along the X", Y" and Z" axes, so that 



(i) s 2 = ?V' 2 + V 2 + WY' 2 - 



Assuming further the component of the same velocity in a certain square, or 

 with other words in the /^-system to have the value ,? 0 along the Z axis, the scheme 

 page 13 gives this latter component expressed through the former by the relation 



(2) 



Tis U u" + ÏM F o" + Yss W o' = ■ 



This relation is the very equation we have to solve with respect to the un- 

 known quantities 



U 0 ", V 0 ", W 0 ". 



