On the Connexion of the Physical SciencesSomerville, Mary
Science
On the Connexion of the Physical Sciences
Somerville, Mary
Physical sciences; Science
Although the method described is sufficiently accurate for finding the
parallax of an object as near as the moon, it will not answer for the
sun, which is so remote that the smallest error in observation would
lead to a false result. But that difficulty is obviated by the transits
of Venus. When that planet is in her nodes (N. 132), or within 1-1/4° of
them, that is, in, or nearly in, the plane of the ecliptic, she is
occasionally seen to pass over the sun like a black spot. If we could
imagine that the sun and Venus had no parallax, the line described by
the planet on his disc, and the duration of the transit, would be the
same to all the inhabitants of the earth. But, as the semi-diameter of
the earth has a sensible magnitude when viewed from the centre of the
sun, the line described by the planet in its passage over his disc
appears to be nearer to his centre, or farther from it, according to the
position of the observer; so that the duration of the transit varies
with the different points of the earth’s surface at which it is observed
(N. 133). This difference of time, being entirely the effect of
parallax, furnishes the means of computing it from the known motions of
the earth and Venus, by the same method as for the eclipses of the sun.
In fact, the ratio of the distances of Venus and the sun from the earth
at the time of the transit is known from the theory of their elliptical
motion. Consequently the ratio of the parallaxes of these two bodies,
being inversely as their distances, is given; and as the transit gives
the difference of the parallaxes, that of the sun is obtained. In 1769
the parallax of the sun was determined by observations of a transit of
Venus made at Wardhus in Lapland, and at Tahiti in the South Sea. The
latter observation was the object of Cook’s first voyage. The transit
lasted about six hours at Tahiti, and the difference in duration at
these two stations was eight minutes; whence the sun’s horizontal
parallax was found to be 8ʺ·72. But by other considerations it has been
reduced by Professor Encke to 8ʺ·5776; from which the mean distance of
the sun appears to be about ninety-five millions of miles. This is
confirmed by an inequality in the motion of the moon, which depends upon
the parallax of the sun, and which, when compared with observation,
gives 8ʺ·6 for the sun’s parallax. The transits of Venus in 1874 and
1882 will be unfavourable for ascertaining the accuracy of the solar
parallax, and no other transit of that planet will take place till the
twenty-first century; but in the mean time recourse may be had to the
oppositions of Mars.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account