Covariant calculation of general relativistic effects in an orbiting gyroscope experiment

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 67, Issue 6, 2003, Pages

  Will, Clifford M ^a  

^a WASHINGTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; ASTRONOMY; CALCULATION; COVARIANCE; GRAVITY; GYROSCOPE; MEASUREMENT; SPACE FLIGHT;

EID: 0037732987     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.67.062003     Document Type: Article

References (31)

1. C.W.F. Everitt, in Near Zero: New Frontiers of Physics, edited by J.D. Fairbank, B.S. Deaver, Jr., C.W.F. Everitt, and P.F. Michelson (Freeman, San Francisco, 1988), pp. 587–639.
2. See the project website at http://einstein.stanford.edu
3. C.W.F. Everitt, W.M. Fairbank, and L.I. Schiff, in The Significance of Space Research for Fundamental Physics, ESRO SP-52, edited by A.F. Moore and V. Hardy (European Space Research Organization, Paris, 1971), p. 33.
4. G.E. Pugh, Weapons System Evaluation Group, Research Memorandum No. 111, Department of Defense, 1959.
5. L.I. Schiff, Phys. Rev. Lett. 4, 215 (1960).
6. L.I. Schiff, Proc. Natl. Acad. Sci. U.S.A. 46, 871 (1960).
7. D.C. Wilkins, Ann. Phys. (N.Y.) 61, 277 (1970).
8. W. Rindler and V. Perlick, Gen. Relativ. Gravit. 22, 1067 (1990).
9. D. Tsoubelis, A. Economou, and E. Stoghianidis, Phys. Rev. D 36, 1045 (1987).
10. B.R. Iyer and C.V. Vishveshwara, Phys. Rev. D 48, 5706 (1993).
11. R.T. Jantzen, P. Carini, and D. Bini, Ann. Phys. (N.Y.) 215, 1 (1992).
12. J.L. Hernández-Pastora, J. Martín, and E. Ruiz, gr-qc/0009062.
13. P. Teyssandier, Phys. Rev. D 16, 946 (1977)
14. Phys. Rev. DP. Teyssandier18, 1037 (1978).
15. B.M. Barker and R.F. O’Connell, Gen. Relativ. Gravit. 11, 149 (1979).
16. J.V. Breakwell, in Near Zero: New Frontiers of Physics 1, pp. 685–690.
17. R.J. Adler and A.S. Silbergleit, Int. J. Theor. Phys. 39, 1291 (2000).
18. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1971).
19. C.W. Misner, K.S. Thorne, and J.A. Wheeler, Gravitation (Freeman, San Francisco, 1972).
20. C.M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, England, 1993).
21. M.H. Soffel, Relativity in Celestial Mechanics and Geodesy (Springer-Verlag, Berlin, 1989).
22. V.A. Brumberg, Essential Relativistic Celestial Mechanics (Hilger, Bristol, 1991).
23. N. Ashby and B. Shahid-Saless, Phys. Rev. D 42, 1118 (1990).
24. Sans serif bold symbols here denote four-vectors.
25. Since (Formula presented) is not strictly an angular momentum vector, (Formula presented) is not strictly a torque; in any event, its precise form will not be needed.
26. B.M. Barker and R.F. O’Connell, Phys. Rev. D 2, 1428 (1970).
27. P. Stumpff, Astron. Astrophys. 84, 257 (1980).
28. B.M. Barker and R.F. O’Connell, Phys. Rev. Lett. 25, 1511 (1970).
29. J.G. Williams, X.X. Newhall, and J.O. Dickey, Phys. Rev. D 53, 6730 (1996).
30. R.F. O’Connell, Astrophys. Space Sci. 4, 199 (1969).
31. B.M. Barker and R.F. O’Connell, Phys. Rev. D 6, 956 (1972).