Another method of getting the distance from the sun is to measure the
velocity of the earth’s orbital motion, giving the circumference
traversed in a year, and so the radius of the orbit. This has been done
by comparing observation and experiment. The aberration of light is an
angle 20” 48, giving the ratio of the earth’s velocity to the velocity
of light. The velocity of light is 186,000 miles a second; whence the
distance to the sun is 92,780,000 miles. There seems, however, to be
some uncertainty about the true value of the aberration, any
determination of which is subject to irregularities due to the
“seasonal errors.” The velocity of light was experimentally found, in
1862, by Fizeau and Foucault, each using an independent method. These
methods have been developed, and new values found, by Cornu,
Michaelson, Newcomb, and the present writer.
Quite lately Halm, at the Cape of Good Hope, measured spectroscopically
the velocity of the earth to and from a star by observations taken six
months apart. Thence he obtained an accurate value of the sun’s
distance.[5]
But the remarkably erratic minor planet, Eros, discovered by Witte in
1898, approaches the earth within 15,000,000 miles at rare intervals,
and, with the aid of photography, will certainly give us the best
result. A large number of observatories combined to observe the
opposition of 1900. Their results are not yet completely reduced, but
the best value deduced so far for the parallax[6] is 8".807 ±
0".0028.[7]
FOOTNOTES:
[1] In 1480 Martin Behaim, of Nuremberg, produced his _astrolabe_ for
measuring the latitude, by observation of the sun, at sea. It
consisted of a graduated metal circle, suspended by a ring which was
passed over the thumb, and hung vertically. A pointer was fixed to a
pin at the centre. This arm, called the _alhidada_, worked round the
graduated circle, and was pointed to the sun. The altitude of the sun
was thus determined, and, by help of solar tables, the latitude could
be found from observations made at apparent noon.
[2] See illustration on p. 76.
[3] See Dreyer’s article on these instruments in _Copernicus_, Vol. I.
They were stolen by the Germans after the relief of the Embassies, in
1900. The best description of these instruments is probably that
contained in an interesting volume, which may be seen in the library
of the R. A. S., entitled _Chinese Researches_, by Alexander Wyllie
(Shanghai, 1897).
[4] Sir George Airy was very jealous of this honourable title. He
rightly held that there is only one Astronomer Royal at a time, as
there is only one Mikado, one Dalai Lama. He said that His Majesty’s
Astronomer at the Cape of Good Hope, His Majesty’s Astronomer for
Scotland, and His Majesty’s Astronomer for Ireland are not called
Astronomers Royal.
[5] _Annals of the Cape Observatory_, vol. x., part 3.
[6] The parallax of the sun is the angle subtended by the earth’s
radius at the sun’s distance.
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