From Newton’s Moon to Einstein’s Moon
DOI: 10.1063/1.881496
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?
References
1. J. O. Dickey et al., Science 265, 482 (1994).https://doi.org/SCIEAS
2. K. Nordtvedt, Icarus 114, 51 (1995).https://doi.org/ICRSA5
3. G. W. Hill, Am. J. Math. 1, 129 (1878).https://doi.org/AJMAAN
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. For additional discussion, see T. Damour, D. Vokrouhlicky, Phys. Rev. D 53, 4177 (1996).https://doi.org/PRVDAQ
6. K. Nordtvedt, Phys. Rev. 169, 1014 and (1968); https://doi.org/PHRVAO
K. Nordtvedt, 170, 1186 (1968).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. C. Brans, R. H. Dicke, Phys. Rev. 124, 925 (1961).https://doi.org/PHRVAO
9. D. Brewster Memoirs of Sir Isaac Newton, 2nd ed., Edinburgh (1860), vol. 1, p. 180.
10. B. Bertotti, I. Ciufolini, P. L. Bender, Phys. Rev. Lett. 58, 1062 (1987).https://doi.org/PRLTAO
11. I. I. Shapiro, R. D. Reasenberg, J. F. Chandler, R. W. Babcock, Phys. Rev. Lett. 61, 2643 (1988).https://doi.org/PRLTAO
12. P. A. M. Dirac, Proc. R. Soc. London, Ser. A 165, 199 (1938).
13. M. K. Cheng, R. J. Eanes, B. D. Tapley, Geophys. J. Int. 108, 401 (1992).https://doi.org/GJINEA
14. J. F. Chandler, R. D. Reasenberg, I. I. Shapiro, Bull. Am. Astron. Soc. 25, 1233 (1993).https://doi.org/ASLBBH
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. 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.