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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                                    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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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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