Account of pendulum experiments undertaken in the Harton Colliery, for the purpose of determining the mean density of the earth, by G. B. Airy
If L be the <s>eccentric</s> astronomical latitude of the place, we may in the small term replace θ by 90<sup>o</sup>  L; and since cos<sup>2</sup>θ = sin<sup>2</sup>L = 1/2 (1  cos2L), we find R = 1 + m  ε/2 + 3ε/2cos 2L Now m = 1/289 = 0.00346 ε = 1/300.8 = 0.00333 L, <s>[?]</s>, for Harton, = 54sup>o</sup>.<s>4</s>58sup>'</sup>; R = 1 + 0.00346  0.00334 = 1.00012. That R should have been so very nearly equal to unity, depends upon an accidental numerical relation between the values of m, ε, and L. At the equator, R  1 would have been as great as 0.00679. In article 60 of the "Account", F  1 was found = .00012032: whence R.(F  1) = .00012033; which only alters the final value of the mean density in the ratio of 6836 to 6835, giving for result 6.565 At the equator, the correction to the deduced value 6.566 would have been  .077."
Please login to transcribe
images
Manuscript details
 Author
 George Biddell Airy
 Reference
 PT/54/5
 Series
 PT
 Date
 1855
 IIIF

(What's this?)This is a link to the IIIF web URL for this item. You can drag and drop the IIIF image link into other compatible viewers
Cite as
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
Comments