List of tables. 



Table I. Direction cosines for the different squares 14 



> II. Distribution over the sky of stars, whose velocities in the line of sight are known 15 

 » III. The number of stars in the squares of each spectral group and their mean dis- 

 placements •. 16 



» IV. Apex, sun's relative velocity and the constant K from observations in the line 



of sight 20 



» V. Comparison with the values of the constant K obtained by Campbell (for each 



spectral class) 22 



» VI. The mean error in the coordinates of the apex, the solar velocity and the con- 

 stant K 26 



» VII. Distribution of the stars used by determining the velocity distribution and the 



mean velocities 27 



VIII. Direction cosines of the apex (a = 270°, o = -f- 30°) in relation to the system K s 28 



» IX. The mean velocities of the different spectral classes computed after the com- 

 bination of the diametrically situated squares 29 



» X. The mean velocity and its variation with spectral classes 30 



> XI. The axes of the velocity ellipsoids and their directions from observations in the 



line of sight 35 



» XII. Comparison between observed and recomputed dispersion in the line of sight 38 



> XIII. The mean vélocités in the three main directions in the galactic system 42 



' XIV. The values of the skewness — S — and the excess — E — in the three main 



directions of the galactic system 46 



» XV. Number of stars after rejecting those whose velocities in any directions are 



very large 49 



» XVI. The mean displacements in proper motion and radial velocity of stars of magn <; 4,0 54 



» XVIII. The parallaxes of stars brighter than magn. 4,9 • 57 



» XIX. The apex solution from the proper motions of stars brighter than magn. 4.9... 59 

 » XX. The moments of the second order of the observed proper motions and radial 



velocities 61 



» XXI. The distribution of the apparent velocities (proper motions) of stars of magn <^ 4,;> 62 



Printing finished April 10, 1915. 



