Account of pendulum experiments undertaken in the Harton Colliery, for the purpose of determining the mean density of the earth, by G. B. Airy
Addendum On communicating with Professor Stokes, in reference to the effect of the Earth's rotation and ellipticity <s>[?]</s> in modifying the numerical results of the Harton Experiment, I was favoured by that gentleman with an investigation, which, with his permission, I [?] as a valuable addition to my own paper. "I shall suppose the surface of the Earth to be an ellipsoid of revolution, and will employ the notation made use of in my paper on Clairaut's Theorem published in the 4<sup>th</sup>. vol. of the Cambridge and Dublin Mathematical Journal. In this, Ɣ is the potential of the Earth's mass. r, θ, are the polar coordinates of any point in or exterior to the Earth's surface; r being measured from the center, and θ from the axis of rotation. a is the equatorial radius.
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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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