Salviati deals also with the standing difficulty that the annual
motion of the earth ought to cause a corresponding apparent motion
of the stars, and that if the stars be assumed so far off that this
motion is imperceptible, then some of the stars themselves must be at
least as large as the earth’s orbit round the sun. Salviati points out
that the apparent or angular magnitudes of the fixed stars, avowedly
difficult to determine, are in reality almost entirely illusory, being
due in great part to an optical effect known as =irradiation=, in
virtue of which a bright object always tends to appear enlarged;[75]
and that there is in consequence no reason to suppose the stars nearly
as large as they might otherwise be thought to be. It is suggested
also that the most promising way of detecting the annual motion of
stars resulting from the motion of the earth would be by observing
the relative displacement of two stars close together in the sky (and
therefore nearly in the same direction), of which one might be presumed
from its greater brightness to be nearer than the other. It is, for
example, evident that if, in the figure, E, E′ represent two positions
of the earth in its path round the sun, and A, B two stars at different
distances, but nearly in the same direction, then to the observer at
E the star A appears to the left of B, whereas six months afterwards,
when the observer is at E′, A appears to the right of B. Such a motion
of one star with respect to another close to it would be much more
easily observed than an alteration of the same amount in the distance
of the star from some standard point such as the pole. Salviati points
out that accurate observations of this kind had not been made, and that
the telescope might be of assistance for the purpose. This method,
known as the =double-star= or =differential method of parallax=, was in
fact the first to lead—two centuries later—to a successful detection of
the motion in question (chapter XIII., § 278).
[Illustration: FIG. 57.—The differential method of parallax.]
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