Thus great accuracy
was necessary in making the adjustments required for the taking of the
photographs, and in their subsequent measurement.
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 :
Table 01: file table01.gif
(c) Displacement of Spectral Lines Towards the Red
In Section 23 it has been shown that in a system K1 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 = wr
where w represents the angular velocity of rotation of the disc K1
with respect to K. If v[0], represents the number of ticks of the
clock per unit time (" rate " of the clock) relative to K when the
clock is at rest, then the " rate " of the clock (v) when it is moving
relative to K with a velocity V, but at rest with respect to the disc,
will, in accordance with Section 12, be given by
eq.
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