صفحة 202 من 212

The results of the measurements confirmed the theory in a

thoroughly satisfactory manner. The rectangular components of the

observed and of the calculated deviations of the stars (in

seconds of arc) are set forth in the following table of results:

image054

(c) Displacement of Spectral Lines Towards the Red

In Section XXIII it has been shown that in a system K′ which is

in rotation with regard to a Galileian system K, clocks of

identical construction, and which are considered at rest with

respect to the rotating reference-body, go at rates which are

dependent on the positions of the clocks. We shall now examine

this dependence quantitatively. A clock, which is situated at a

distance r from the centre of the disc, has a velocity relative

to K which is given by

v = ωr,