Still, the desire to measure this parallax was only intensified by the
practical certainty of its existence, and by repeated failures. The
attempts of Bradley failed. The attempts of Piazzi and Brinkley,[1]
early in the nineteenth century, also failed. The first successes,
afterwards confirmed, were by Bessel and Henderson. Both used stars
whose proper motion had been found to be large, as this argued
proximity. Henderson, at the Cape of Good Hope, observed α Centauri,
whose annual proper motion he found to amount to 3".6, in 1832-3; and a
few years later deduced its parallax 1".16. His successor at the Cape,
Maclear, reduced this to 0".92.
In 1835 Struve assigned a doubtful parallax of 0".261 to Vega (α Lyræ).
But Bessel’s observations, between 1837 and 1840, of 61 Cygni, a star
with the large proper motion of over 5”, established its annual
parallax to be 0".3483; and this was confirmed by Peters, who found the
value 0".349.
Later determinations for α2 Centauri, by Gill,[2] make its parallax
0".75—This is the nearest known fixed star; and its light takes 4 1/3
years to reach us. The lightyear is taken as the unit of measurement in
the starry heavens, as the earth’s mean distance is “the astronomical
unit” for the solar system.[3] The proper motions and parallaxes
combined tell us the velocity of the motion of these stars across the
line of sight: α Centauri 14.4 miles a second=4.2 astronomical units a
year; 61 Cygni 37.9 miles a second=11.2 astronomical units a year.
These successes led to renewed zeal, and now the distances of many
stars are known more or less accurately.
Several of the brightest stars, which might be expected to be the
nearest, have not shown a parallax amounting to a twentieth of a second
of arc. Among these are Canopus, α Orionis, α Cygni, β Centauri, and γ
Cassiopeia. Oudemans has published a list of parallaxes observed.[4]
_Proper Motion._—In 1718 Halley[5] detected the proper motions of
Arcturus and Sirius. In 1738 J. Cassinis[6] showed that the former had
moved five minutes of arc since Tycho Brahe fixed its position. In 1792
Piazzi noted the motion of 61 Cygni as given above. For a long time the
greatest observed proper motion was that of a small star 1830
Groombridge, nearly 7” a year; but others have since been found
reaching as much as 10”.
Now the spectroscope enables the motion of stars to be detected at a
single observation, but only that part of the motion that is in the
line of sight. For a complete knowledge of a star’s motion the proper
motion and parallax must also be known.
When Huggins first applied the Doppler principle to measure velocities
in the line of sight,[7] the faintness of star spectra diminished the
accuracy; but Vögel, in 1888, overcame this to a great extent by long
exposures of photographic plates.
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