SOLAR AND STELLAR PROPER MOTIONS. 165 
very great care. Arranging all the stars in four classes, ac¬ 
cording to the amount of observed proper motion, and taking 
the mean of the magnitudes and of the proper motions in 
each class, the following rather significant result was reached. 
In class I, which includes the largest proper motions, are 
found the faintest stars; in class II, which contains smaller 
proper motions, there is a slight increase in the size of the 
stars; and in all the classes as the mean proper motion 
decreases, the mean magnitude increases . I then examined 
the proper motions deduced by Newcomb 34 from 307 of 
Bradley’s stars ranging from the largest down to the 5th 
magnitude. These stars were not so well adapted for this 
investigation as those of Argelander’s list, because many of 
the deduced proper motions are so minute as to be at least 
doubtful. They were arranged and treated in the same way 
as the first list, and in many respects similar results were 
obtained. 
Finally, in order to show definitely the relations between 
magnitudes and proper motions the whole number of stars, 
652, were arranged in nine groups, according to magnitudes. 
Taking the mean of the magnitudes and the mean of the 
proper motions in each group, certain rather remarkable 
results were reached. The mean proper motion for the first 
magnitude stars, 0".52, is somewhat anomalous, inasmuch 
as the number of stars is quite small and there occurs three 
large proper motions. For the succeeding magnitudes, from 
the second to the ninth, inclusive, the mean proper motions 
are respectively, 0T16, 0A18,0T14, 0".17, 0".29, 0".42, 0T46 
and 0T68. 
These results were so decidedly opposed to the accepted 
theories that a further examination was considered very de¬ 
sirable. Since the publication of the paper just quoted, 
another investigation of the proper motions of Bradley’s 
stars has been made on the same general plan as the first. 
In Argelander’s list no star was used whose proper motion 
34 Newcomb, Simon. Astronomical Papers of the American Ephemeris, 
1882; 147. 
