/
Article

From Newton’s Moon to Einstein’s Moon

MAY 01, 1996
Continuing the lunar orbit’s 300‐year role as gravity’s testing ground, laser ranging to the Moon precisely confirms the foundations and structure of general relativity.
Kenneth Nordtvedt

Three centuries ago Isaac Newton and his contemporaries sought to understand the details of lunar motion in terms of Newton’s theory of gravity. Today, our most precise confirmations of key aspects of Albert Einstein’s relativistic theory of gravity are achieved by measuring features of the Moon’s orbit to 1‐centimeter precision using a technique known as lunar laser ranging (LLR). These present‐day measurements address some of the same questions posed by Newton. Do Earth and the Moon (figure 1) fall toward the Sun at the same rate? What, in detail, produces the precession of the lunar orbit’s major axis?

This article is only available in PDF format

References

  1. 1. J. O. Dickey et al., Science 265, 482 (1994).https://doi.org/SCIEAS

  2. 2. K. Nordtvedt, Icarus 114, 51 (1995).https://doi.org/ICRSA5

  3. 3. G. W. Hill, Am. J. Math. 1, 129 (1878).https://doi.org/AJMAAN

  4. 4. Quoted in F. Cajori, Sir Isaac Newton’s Mathematical Principles, U. California P., Berkeley (1946), p. 412. Cajori’s book is a translation of Newton’s Principia.

  5. 5. For additional discussion, see T. Damour, D. Vokrouhlicky, Phys. Rev. D 53, 4177 (1996).https://doi.org/PRVDAQ

  6. 6. K. Nordtvedt, Phys. Rev. 169, 1014 and (1968); https://doi.org/PHRVAO
    K. Nordtvedt, 170, 1186 (1968).

  7. 7. Y. Su, B. R. Heckel, E. G. Adelberger, J. H. Gundlach, M. Harris, G. L. Smith, N. E. Swanson, Phys. Rev. D 50, 3614 (1994).https://doi.org/PRVDAQ

  8. 8. C. Brans, R. H. Dicke, Phys. Rev. 124, 925 (1961).https://doi.org/PHRVAO

  9. 9. D. Brewster Memoirs of Sir Isaac Newton, 2nd ed., Edinburgh (1860), vol. 1, p. 180.

  10. 10. B. Bertotti, I. Ciufolini, P. L. Bender, Phys. Rev. Lett. 58, 1062 (1987).https://doi.org/PRLTAO

  11. 11. I. I. Shapiro, R. D. Reasenberg, J. F. Chandler, R. W. Babcock, Phys. Rev. Lett. 61, 2643 (1988).https://doi.org/PRLTAO

  12. 12. P. A. M. Dirac, Proc. R. Soc. London, Ser. A 165, 199 (1938).

  13. 13. M. K. Cheng, R. J. Eanes, B. D. Tapley, Geophys. J. Int. 108, 401 (1992).https://doi.org/GJINEA

  14. 14. J. F. Chandler, R. D. Reasenberg, I. I. Shapiro, Bull. Am. Astron. Soc. 25, 1233 (1993).https://doi.org/ASLBBH

  15. 15. R. W. Hellings, P. J. Adams, J. D. Anderson, M. S. Keesey, E. L. Lau, E. M. Standish, V. M. Canuto, I. Goldman, Phys. Rev. Lett. 51, 1609 (1983).https://doi.org/PRLTAO

  16. 16. W. de Sitter, Mon. Not. R. Astron. Soc. 77, 155 (1916).https://doi.org/MNRAA4

More about the authors

Kenneth Nordtvedt, Montana State University, Bozeman.

Related content
/
Article
/
Article
Cognizant of their role within the scientific community, scientific societies had to weigh how to respond to the actions by the Atomic Energy Commission.
/
Article
Interviews now available to the public bring the famed physicist’s lesser-known early years to life.
/
Article
Graduate students in physics and astronomy struggle with mental health. Support from peers and advisers is critical; so is institutional change.
This Content Appeared In
pt-cover_1996_05.jpeg

Volume 49, Number 5

Get PT newsletters in your inbox

pt_newsletter_card_blue.png
PT The Week in Physics

A collection of PT's content from the previous week delivered every Monday.

pt_newsletter_card_darkblue.png
PT New Issue Alert

Be notified about the new issue with links to highlights and the full TOC.

pt_newsletter_card_pink.png
PT Webinars & White Papers

The latest webinars, white papers and other informational resources.

By signing up you agree to allow AIP to send you email newsletters. You further agree to our privacy policy and terms of service.