Account of pendulum experiments undertaken in the Harton Colliery, for the purpose of determining the mean density of the earth, by G. B. Airy
end of a Swing were made by different observers, I compared the logarithms of apparent rates of Earnshaw/Shelton during that swing, with the logarithms for the preceding and following swings (in three instances, however, with only the preceding swing), and formed the <s>[?]</s> <s>[?]</s> excess of the logarithm of the intermediate swing <s>[?]</s> above the mean of the preceding and following logarithms. This numerical <s>[?]</s> excess may be compared with a symbolical formula, in which the symbols represent, not the actual error in time committed by each observer, but the logarithm (in 8figure units) of the influence of this error on rates deduced from comparisons at 4hour intervals. Twentyseven equations were thus formed. By the method of minimum squares, these were reduced to six, of which (from the nature of the case) one was unnecessary, their sum being identically equal to zero. Assuming D (Mr. Dunkin's error) = 0, the others are found by solution of the equations. Though the equations are not very favourable, they suffice for giving very good corrections, and they show in particular that Mr. Simmonds recorded his times too early by nearly half a second. The following table <s>represents</s> exhibits this work: the fundamental numbers being obtained from a table which is to follow.
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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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