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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                                50. For computing the attractions which determine the
difference of gravity at the upper and lower stations: if
we refer to the simple investigation in article 2, it
will appear desirable to conduct the <s>[?]</s> calculation which
is to apply to the earth's irregular form in such a
manner as to preserve the characteristics of that
simpler investigation as <s>nearly</s> closely as possible. The characteristics
are,
     1. That a shell may be traced whose inner surface passes
     through the lower station, and whose attraction
     at that lower station is = 0.
     2. That the attraction of the same shell at the
     upper station is the same as if its matter were
     collected at the center of the earth.
     3. That the attraction of the inclosed nucleus follows
     the same law, in reference to the difference at
     the upper and lower stations, as if all its
     matter were collected at the center of the earth.

And we are to find how nearly we can approach to
these circumstances on the supposition that the earth's
constitution is irregular, both in the neighbourhood of Harton
                            
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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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