Hostname: page-component-7dd5485656-npwhs Total loading time: 0 Render date: 2025-10-31T08:50:25.478Z Has data issue: false hasContentIssue false
  • English
  • Français

On the second-order correction terms to values of gravity measured at sea

Published online by Cambridge University Press:  24 October 2008

Beatrice H. Worsley
Beatrice H. Worsley
Affiliation:
University Mathematical LaboratoryCambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

The motion of a pendulum on a periodically accelerated support has been studied by means of an electronic computing machine. The results have been applied to the problem of calculating the second-order correction to measurements of gravity made at sea with the Vening Meinesz three-pendulum apparatus. It is found that the correction for a single horizontal acceleration under typical conditions is likely to be more than twice that found analytically by Browne. His correction for vertical acceleration is valid for a wide range of frequency of the disturbing motion.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 4 , October 1952 , pp. 718 - 732
Copyright
Copyright © Cambridge Philosophical Society 1952

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

(1)Browne, B. C.Mon. Not. R. astr. Soc. geophys. Suppl., 4 (1937), 271–9.CrossRefGoogle Scholar
(2)Browne, B. C. and Cooper, R. I. B.Philos. Trans. A, 242 (1950), 243–310.Google Scholar
(3)Cooper, R. I. B.Proc. roy. Soc. A, 197 (1949), 523–45.Google Scholar
(4)Erdélyi, A.Z. angew. Math. Mech. 14 (1934), 235–47.CrossRefGoogle Scholar
(5)Gilbert, R. L. G.Proc. phys. Soc. Lond. B, 62 (1949), 445–54.CrossRefGoogle Scholar
(6)Hartree, D. R.Mem. Manchr lit. phil. Soc. 77 (1933), 91–107.Google Scholar
(7)Hirsch, P.Z. angew. Math. Mech. 10 (1930), 41–52.CrossRefGoogle Scholar
(8)Nørgaard, N.C.R. Comm. giod. balt., Stockh., 7 (1933), 279–86.Google Scholar
(9)Stoker, J. J.Non-linear vibrations in mechanical and electrical systems (London, 1950).Google Scholar
(10)Vening, Meinesz F. A.Theory and practice of pendulum observations at sea, part 1 (Delft, 1929).CrossRefGoogle Scholar
(11)Vening, Meinesz F. A.Proc. Acad. Sci. Amst. 41 (1938), 540–51.Google Scholar
(12)Vening, Meinesz F. A.Theory and practice of pendulum observations at sea, part 2 (Delft, 1941).Google Scholar
(13)Wilkes, M. V.Nature, Lond., 164 (1949), 557.CrossRefGoogle Scholar