1. Historical background. It was in 1783 that William Herschel first determined the direction of the sun's motion using only thirteen bright stars in his solution. Literally hundreds of determinations have been made during the intervening 174 years with the exasperating diversity of results illustrated in Figure 1. Why this should have been so was a puzzle for a long time. We now know at least four of the reasons. In the first place systematic errors in stellar motions were actually much larger than was once realized. Even today these errors are far from negligible. The position of the apex of the sun's motion derived from the motions of bright near-by stars in one modern catalogue differs by some five degrees from that derived from the motions of the same stars in another recent catalogue. The best of the modern fundamental catalogues, the FK3, is even now being revised by a staff of experts in Germany in the hope of reducing its systematic errors ; this revision may well modify our best position of the apex once again. The second difficulty arose from galactic rotation. Back in 1882, Schonfeld had introduced a term into the equations of solar motion to allow for a wheel-like rotation of stars around the galactic center. This was not very successful, as it was usually assumed that the sun was not far from the galactic center. It was only after Shapley had established that the distance to the center was much greater than had been supposed that Oort could formulate his famous equations for determining the constants of rotation. Now, unless these constants have been reliably determined and due correction is made for their effect on proper motions and radial velocities, they distort the motions very much a*> systematic errors would, particularly in the case of the more distant objects such as the B-type stars. Incidentally, the currently accepted values are far from definitive.
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