Account of pendulum experiments undertaken in the Harton Colliery, for the purpose of determining the mean density of the earth, by G. B. Airy

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                                I have, in all the subsequent calculations,adopted that
quantity (1256 feet) as unit of measure. In all the preceding formulae, c must now be made = 1. The earth's
radius corresponding to Harton is then 16621.7. <s>[?]</s>
its attraction at the lower station is 4π/3 x 16621.7 x D, or 69625 x D, and at the
upper station {69625 - 8π/3} x D. The attraction
of the shell upon the upper station, or the difference
of attractions of the indefinite horizontal stratum upon
the upper and lower stations, is 4π x d. The formula
applicable to the <s>sea</s> depression of the sea will be
2b/a x d; and that applicable to any other elevation or
depression will be volume/(p<sup>2</sup> + 1)<sup>3/2</sup> x d; where all linear
measures are to be referred to the mine-depth as unit.

58. On my making known that information on
the irregularities of the ground <s>was</s> would be required for the
final calculations, the Mayor and Corporation of
South Shields directed that the necessary surveys should
be made, and the execution of this work was intrusted
to Christopher Thompson Esq, surveyor for the
Corporation. This gentleman entered <s>[?]</s> fully into
                            
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Manuscript details

Author
George Biddell Airy
Reference
PT/54/5
Series
PT
Date
1855
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Account of pendulum experiments undertaken in the Harton Colliery, for the purpose of determining the mean density of the earth, by G. B. Airy, 1855. From The Royal Society, PT/54/5

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