apparent motion of the six stars, will be much reduced. The quantities which are required for constructing another figure to represent the threefold motions of our six stars, when a different apex is fixed upon, are to be found by the same method we have pursued in the instance of λ Herculis; and the figure that has been given with respect to that star, shows evidently that the parallactic line S P should, be turned more towards the line s a, representing the apparent motion of Sirius. We shall accordingly try a point near the following knee of Hercules, whose right ascension is 270° 15', and north polar distance 54° 45'.
The result of a calculation of the angles and the least quantities of real motion of our six stars, according to this apex, is collected in the following Table, and represented in Fig. 3.
Table VI.
Stars. |
Angles of the parallactic Motion |
Angles of the apparent with the |
Least Quantities | ||||||
° | ' | " | ° | ' | " | " | |||
Sirius – | 68 | 51 | 5 | south-preceding | 0 | 1 | 25 | south preceding | 0,0004561 |
Arcturus | 29 | 30 | 32 | south-preceding | 25 | 59 | 10 | south-following | 0,9145072 |
Capella – | 77 | 54 | 0 | south-following | 6 | 18 | 38 | south-following | 0,0509727 |
Lyra – | 27 | 38 | 47 | north-following | 28 | 42 | 9 | north-preceding | 0,1557761 |
Aldebaran | 66 | 20 | 17 | south-following | 10 | 9 | 21 | south preceding | 0,0217607 |
Procyon – | 64 | 48 | 27 | south-following | 14 | 46 | 1 | south-preceding | 0,3159051 |
Sum | 1",4593779 |
By this Table it appears that the annual proper motion of our six stars may be reduced to 1",4594, which is 0",7655 less than the sum in the 5th Table, where the apex was λ Herculis.
In the approximation to this point it appeared, that when the line of the parallactic motion of Sirius is made to coincide