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An equation of oscillations for the arrangement of attracting solids on the equilibrium line of a balance with account for nonlinearity of up to the seventh power

  • Radiophysics, Electronics, Acoustics
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Moscow University Physics Bulletin Aims and scope

Abstract

The accuracy of calculating the gravitational constant, G, using a method based on the numerical integration of an equation of oscillations and a method based on the nonlinear oscillation theory is analyzed. Taking account of a higher (the seventh) power at an amplitude of 80 mrad reduces the error of calculating the moment of attraction forces by 47 times. This reduces the error of calculating G from 15 to 0.3 ppm.

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References

  1. Jun Luo, Qi Liu, Liang-Cheng Tu, Cheng-Gang Shao, Lin-Xia Liu, Shan-Qing Yang, Qing Li, and Ya-Ting Zhang, Phys. Rev. Lett. 102(24), 240801 (2009).

    Article  ADS  Google Scholar 

  2. Liang-Cheng Tu, Qing Li, Qing-Lan Wang, Cheng-Gang Shao, Shan-Qing Yang, Lin-Xia Liu, Qi Liu, and Jun Luo, Phys. Rev. D: Part., Fields, Grav. Cosmol. 82(2), 022001 (2010).

    Article  ADS  Google Scholar 

  3. T. J. Quinn, H. V. Parks, C. C. Speake, and R. S. Davis, Phys. Rev. Lett. 111(10), 101102 (2013).

    Article  ADS  Google Scholar 

  4. J. H. Gundlach and S. M. Merkowitz, Phys. Rev. Lett. 85(14), 2869 (2000).

    Article  ADS  Google Scholar 

  5. T. R. Armstrong and M. P. Fitzgerald, Phys. Rev. Lett. 91(20), 201101 (2003).

    Article  ADS  Google Scholar 

  6. M. U. Sagitov, V. K. Milyukov, E. A. Monakhov, V. S. Nazarenko, and K. G. Tadzhitdinov, Dokl. Akad. Nauk SSSR 245(3), 567 (1979).

    ADS  Google Scholar 

  7. A. I. Kuznetsov, O. V. Karagioz, and V. P. Izmailov, Izmerit. Tekhnika, No. 9, 11 (2005).

    Google Scholar 

  8. N. I. Kolosnitsyn, Metrologiya, No. 11, 3 (1990).

    Google Scholar 

  9. O. V. Karagioz and V. P. Izmailov, Izmerit. Tekhnika, No. 10, 3 (1996).

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Moscow State University, Moscow, 119991, Russia

    V. M. Shakhparonov

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  1. V. M. Shakhparonov
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Correspondence to V. M. Shakhparonov.

Additional information

Original Russian Text © V.M. Shakhparonov, 2014, published in Vestnik Moskovskogo Universiteta. Fizika, 2014, No. 4, pp. 27–34.

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Shakhparonov, V.M. An equation of oscillations for the arrangement of attracting solids on the equilibrium line of a balance with account for nonlinearity of up to the seventh power. Moscow Univ. Phys. 69, 300–307 (2014). https://doi.org/10.3103/S0027134914040109

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  • DOI: https://doi.org/10.3103/S0027134914040109

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