Somewhat later Arago, then head of the Paris observatory, who had also
been impressed with the existence of such a planet, requested one of
his assistants, a remarkable young mathematician named Leverrier, to
undertake its investigation. Leverrier, who had already evidenced
his marked ability in celestial mechanics, proceeded to grapple with
the problem in the most thorough manner. He began by looking into
the perturbations of Uranus by Jupiter and Saturn. He started with
Bouvard’s work, with the result of finding it very much the reverse
of good. The farther he went, the more errors he found, until he was
obliged to cast it aside entirely and recompute these perturbations
himself. The catalogue of Bouvard’s errors he gave must have been an
eye-opener generally, and it speaks for the ability and precision
with which Leverrier conducted his investigation that neither Airy,
Bessel, nor Adams had detected these errors, with the exception of
one term noticed by Bessel and subsequently by Adams.[10] The result
of this recalculation of his was to show the more clearly that the
irregularities in the motion of Uranus could not be explained except by
the existence of another planet exterior to him. He next set himself
to locate this body. Influenced by Bode’s law, he began by assuming
it to lie at twice Uranus’ distance from the Sun, and, expressing
the observed discrepancies in longitude in equations, comprising the
perturbations and possible errors in the elements of Uranus, proceeded
to solve them. He could get no rational solution. He then gave the
distance and the extreme observations a certain elasticity, and by this
means was able to find a position for the disturber which sufficiently
satisfied the conditions of the problem. Leverrier’s first memoir
on the subject was presented to the French Academy on November 10,
1845, that giving the place of the disturbing planet on June 1, 1846.
There is no evidence that the slightest search in consequence was
made by anybody, with the possible exception of the Naval Observatory
at Washington. On August 31 he presented his third paper, giving an
orbit, mass, and more precise place for the unknown. Still no search
followed. Taking advantage of the acknowledging of a memoir, Leverrier,
in September, wrote to Dr. Galle in Berlin asking him to look for
the planet. The letter reached Galle on the 23d, and that very night
he found a planet showing a disk just as Leverrier had foretold, and
within 55′ of its predicted place.
[10] Adams, “Explanation of the Motion of Uranus,” 1846.
Public-domain text, read in full here on John Shaqi.
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