Status of the experiments on measurement of the Newtonian gravitational constant
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Due to the weakness of gravity, the accuracy of the Newtonian gravitational constant G is essentially below the accuracy of other fundamental constants. The current value of G, recommended by CODATA in 2006, based on all results available at the end of 2006, is G = (6.67428 ± 0.00067) × 10−11 m3 kg−1 s−2 with a relative error of 100 ppm. The accuracy of the best experimental results is 15–40 ppm, although the scatter of the results is large enough. Therefore new experiments at a level of accuracy of 10–30 ppm are rather topical. One of the problems of improving accuracy of G is a precision measurement of the period of eigen oscillations of a torsion balance. The nonlinear behavior of the torsion balance with five degrees of freedom has been studied. It was shown that swing modes are excited by the acting environmental noise. A coupling of the swing modes to the torsional mode has been revealed. Methods of suppressing the effect of mode couplings have been considered.
PACS numbers04.80.Cc 02.60.Cb
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- 1.P. R. Heyl, A redetermination of the constant of gravitation, J. Res. Natl. Bur. Stand. 5(256), 1243 (1930).Google Scholar
- 2.C. Pontikis, Détermination de la constante de gravitation par la méthode de résonance, C. R. Acad. Sci. Ser. B 274, 437 (1972).Google Scholar
- 7.O. V. Karagioz and V. P. Izmailov, Measurement of the gravitational constant with a torsion balance, Izmer. Tekh. 39(10), 3 (1996) [Meas. Tech. 39 (10), 979 (1996)].Google Scholar
- 10.J. Luo et al., Determination of the Newtonian gravitational constant G with a nonlinear fitting method, Phys. Rev. D 59, 042001 (1999).Google Scholar
- 13.T. J. Quinn, C. C. Speake, S. J. Richmann, et al., A new determination of G using two methods, Phys. Rev. Lett. 87, 111101 (2001).Google Scholar
- 14.St. Schlamminger, E. Holzschuh, and W. Kundig, Determination of the gravitational constant with a beam balance, Phys. Rev. Lett. 89, 161102 (2002).Google Scholar
- 16.T. R. Armstrong and M. P. Fitzgerald, New measurement of G using the measurement laboratory torsion balance, Phys. Rev. Lett. 91(20), 201101 (2003).Google Scholar
- 17.St. Schlamminger et al., Measurement of Newton’s gravitational constant, Phys. Rev. D 74, 082001 (2006).Google Scholar
- 19.V. K. Milyukov, The theory of motion of the torsion balance in inhomogeneous gravitational field under the action of random noise. In: Problems of Gravitation and Elementary Particle Theory, (Energoizdat, Moscow, 1981), 12th issue, p. 128 (in Russian).Google Scholar
- 20.X.-D. Fan et al., Coupled modes of the torsion pendulum, Phys. Lett. A, doi: 10.1016/j.physleta.2007.08.020 (2007).Google Scholar