Coupled modes of the torsion pendulum

被引:22
作者
Fan, Xiang-Dong [1 ]
Liu, Qi [1 ]
Liu, Lin-Xia [1 ]
Milyukov, Vadim [2 ]
Luo, Jun [1 ]
机构
[1] Huazhong Univ Sci & Technol, Dept Phys, Wuhan 430074, Peoples R China
[2] Moscow MV Lomonosov State Univ, Sternberg Astron Inst, Moscow 119899, Russia
基金
中国国家自然科学基金; 俄罗斯基础研究基金会;
关键词
torsion pendulum; torsional mode couplings; analytic solution;
D O I
10.1016/j.physleta.2007.08.020
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The coupling of the swing modes of a torsion pendulum to the torsional mode has been solved analytically. Our solution provides a clear explanation of why a magnetic damper is effective in suppressing unwanted modes in most gravitational experiments. The analytic solution also shows that the amplitude of the mode coupling is greatest at the lowest frequencies. This explains why mode coupling at the lowest frequency is all that is observed in the experiments reported here. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:547 / 552
页数:6
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共 23 条
  • [1] TESTING THE EQUIVALENCE PRINCIPLE IN THE FIELD OF THE EARTH - PARTICLE PHYSICS AT MASSES BELOW 1-MU-EV
    ADELBERGER, EG
    STUBBS, CW
    HECKEL, BR
    SU, Y
    SWANSON, HE
    SMITH, G
    GUNDLACH, JH
    ROGERS, WF
    [J]. PHYSICAL REVIEW D, 1990, 42 (10): : 3267 - 3292
  • [2] Improved test of the equivalence principle for gravitational self-energy
    Baessler, S
    Heckel, BR
    Adelberger, EG
    Gundlach, JH
    Schmidt, U
    Swanson, HE
    [J]. PHYSICAL REVIEW LETTERS, 1999, 83 (18) : 3585 - 3588
  • [3] Preliminary results of a determination of the Newtonian constant of gravitation: A test of the Kuroda hypothesis
    Bagley, CH
    Luther, GG
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (16) : 3047 - 3050
  • [4] TORSION BALANCES, TORSION PENDULUMS, AND RELATED DEVICES
    GILLIES, GT
    RITTER, RC
    [J]. REVIEW OF SCIENTIFIC INSTRUMENTS, 1993, 64 (02) : 283 - 309
  • [5] The Newtonian gravitational constant: Recent measurements and related studies
    Gillies, GT
    [J]. REPORTS ON PROGRESS IN PHYSICS, 1997, 60 (02) : 151 - 225
  • [6] Measurement of Newton's constant using a torsion balance with angular acceleration feedback
    Gundlach, JH
    Merkowitz, SM
    [J]. PHYSICAL REVIEW LETTERS, 2000, 85 (14) : 2869 - 2872
  • [7] Short-range test of the equivalence principle
    Gundlach, JH
    Smith, GL
    Adelberger, EG
    Heckel, BR
    Swanson, HE
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (13) : 2523 - 2526
  • [8] EXPERIMENTAL TESTS OF THE GRAVITATIONAL INVERSE-SQUARE LAW FOR MASS SEPARATIONS FROM 2 TO 105 CM
    HOSKINS, JK
    NEWMAN, RD
    SPERO, R
    SCHULTZ, J
    [J]. PHYSICAL REVIEW D, 1985, 32 (12): : 3084 - 3095
  • [9] Tests of the gravitational inverse-square law below the dark-energy length scale
    Kapner, D. J.
    Cook, T. S.
    Adelberger, E. G.
    Gundlach, J. H.
    Heckel, B. R.
    Hoyle, C. D.
    Swanson, H. E.
    [J]. PHYSICAL REVIEW LETTERS, 2007, 98 (02)
  • [10] Experimental limits on the photon mass and cosmic magnetic vector potential
    Lakes, R
    [J]. PHYSICAL REVIEW LETTERS, 1998, 80 (09) : 1826 - 1829