Development of Gravity Pendulums in the 19th Century: Contributions from the Museum of History and Technology, Papers 34-44 On Science and Technology, Smithsonian Institution, 1966 — John Shaqi
Development of Gravity Pendulums in the 19th Century: Contributions from the Museum of History and Technology, Papers 34-44 On Science and Technology, Smithsonian Institution, 1966Multhauf, Robert P.
History
Development of Gravity Pendulums in the 19th Century: Contributions from the Museum of History and Technology, Papers 34-44 On Science and Technology, Smithsonian Institution, 1966
Multhauf, Robert P.
Pendulum
The systematic survey of the gravity field of the earth was given a
great impetus by the contributions of Capt. Henry Kater, F.R.S. In 1817,
he designed, constructed, and applied a convertible compound pendulum
for the absolute determination of gravity at the house of Henry Browne,
F.R.S., in Portland Place, London.[24] Kater's convertible pendulum
(fig. 11) consisted of a brass rod to which were attached a flat
circular bob of brass and two adjustable weights, the smaller of which
was adjusted by a screw. The convertibility of the pendulum was
constituted by the provision of two knife edges turned inwards on
opposite sides of the center of gravity. The pendulum was swung on each
knife edge, and the adjustable weights were moved until the times of
swing were the same about each knife edge. When the times were judged to
be the same, the distance between the knife edges was inferred to be the
length of the equivalent simple pendulum, in accordance with Huygens'
theorem on conjugate points of a compound pendulum. Kater determined the
time of swing by the method of coincidences (fig. 12). He corrected for
the buoyancy of the air. The final value of the length of the seconds
pendulum at Browne's house in London, reduced to sea level, was
determined to be 39.13929 inches.
The convertible compound pendulum had been conceived prior to its
realization by Kater. In 1792, on the occasion of the proposal in Paris
to establish the standard of length as the length of the seconds
pendulum, Baron de Prony had proposed the employment of a compound
pendulum with three axes of oscillation.[25] In 1800, he proposed the
convertible compound pendulum with knife edges about which the pendulum
could complete swings in equal times. De Prony's proposals were not
accepted and his papers remained unpublished until 1889, at which time
they were discovered by Defforges. The French decision was to experiment
with the ball pendulum, and the determination of the length of the
seconds pendulum was carried out by Borda and Cassini by methods
previously described. Bohnenberger in his _Astronomie_ (1811),[26] made
the proposal to employ a convertible pendulum for the absolute
determination of gravity; thus, he has received credit for priority in
publication. Capt. Kater independently conceived of the convertible
pendulum and was the first to design, construct, and swing one.
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