The motion of the stars. 2 7 

 All the stars brighter than 6™, which are treated in 4), are together 4041. 



Tn the following table I, I give the correlation tables for all squares for each 

 one of the named subdivisions 1), 2), 3) and 4). The observed coordinates are the 

 proper motion u and v, where 



The stars are distributed into classes, each having a breadth [w] of 0".0B0. The 

 provisory mean is taken to — 0,b m = — 0",02B in § as well as in a. Each correlation 

 table is divided into four parts through a horizontal and a vertical line, separating 

 stars having positive proper motion (in S or a) from those having a negative one. 



Further is: 



= the dispersion in u, 



= the dispersion in v, 



v^^. = tbe moment about the means of the i'Ji order with regard to u — Xq 



and of the fA order with regard to v — y^, 



= the shewness in the frequency curve for m, 



S = » » » » » » » V. 



y ' 



E = y excess » » ' » » » u, 



E = » » » » » » » V. 



^^ = Aa cos S, v = AS. 



Xq = the mean proper motion in a, multiplied by cos B = M [u), 



ownig manner: 



5 = — 



y 



V, 



03 



y 



3 ' 



E = 



V 



T further remind of the formulae: 



(27) 



V, 



02 



— a 



y 



2 



V 



11 



= ro o 



X y 



