at
different distances seem to a beholder in motion to move relatively to
each other. This principle Galileo, in the third of his Dialogues on the
Systems of the World,[24] proposed to employ for the determination of
stellar parallax; for two stars, lying apparently close together, but in
reality separated by a great gulf of space, must shift their mutual
positions when observed from opposite points of the earth's orbit; or
rather, the remoter forms a virtually fixed point, to which the
movements of the other can be conveniently referred. By this means
complications were abolished more numerous and perplexing than Galileo
himself was aware of, and the problem was reduced to one of simple
micrometrical measurement. The "double-star method" was also suggested
by James Gregory in 1675, and again by Wallis in 1693;[25] Huygens
first, and afterwards Dr. Long of Cambridge (about 1750), made futile
experiments with it; and it eventually led, in the hands of Bessel, to
the successful determination of the parallax of 61 Cygni.

Its advantages were not lost upon Herschel. His attempt to assign
definite distances to the nearest stars was no isolated effort, but part
of the settled plan upon which his observations were conducted. He
proposed to sound the heavens, and the first requisite was a knowledge
of the length of his sounding-line. Thus it came about that his special
attention was early directed to double stars.

"I resolved," he writes,[26] "to examine every star in the heavens with
the utmost attention and a very high power, that I might collect such
materials for this research as would enable me to fix my observations
upon those that would best answer my end. The subject has already proved
so extensive, and still promises so rich a harvest to those who are
inclined to be diligent in the pursuit, that I cannot help inviting
every lover of astronomy to join with me in observations that must
inevitably lead to new discoveries."

The first result of these inquiries was a classed catalogue of 269
double stars presented to the Royal Society in 1782, followed, after
three years, by an additional list of 434. In both these collections the
distances separating the individuals of each pair were carefully
measured, and (with a few exceptions) the angles made with the
hour-circle by the lines joining their centres (technically called
"angles of position") were determined with the aid of a "revolving-wire
micrometer," specially devi