论文信息 - Spherical Pendulum in Gravitational Experiments

Spherical Pendulum in Gravitational Experiments

The fine structure of the trajectory of the Foucault pendulum with anisotropic suspension is investigated. In respect of non-Newtonian gravitational effects, a mathematical theory of this device is developed and an analytic formula for the precession of plane of swing as a function of the initial conditions and anisotropy of suspension is obtained. Effects of viscous friction, seismic noise and dynamical instability are investigated. The characteristics of the pendulum dynamics are compared with the results of existing and planned gravitational experiments.

[1] E. O. Schulz-DuBois. Foucault Pendulum Experiment by Kamerlingh Onnes and Degenerate Perturbation Theory , 1970 .

[2] Hamid Hefazi. Aerospace Engineering , 2021, Springer Handbook of Mechanical Engineering.

[3] Cleve Moler,et al. Mathematical Handbook for Scientists and Engineers , 1961 .

[4] M. Olsson. The precessing spherical pendulum , 1978 .

[5] Leonard I. Schiff,et al. Possible New Experimental Test of General Relativity Theory , 1960 .

[6] Edmund Taylor Whittaker,et al. A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: INDEX OF TERMS EMPLOYED , 1988 .

[7] W. Stronge,et al. Principles of Mechanics , 1993 .

[8] 平川浩正. 国際シンポジウム"Experimental Gravitation" , 1977 .

[9] E. Kamke. Differentialgleichungen : Lösungsmethoden und Lösungen , 1977 .

[10] N. Bogolyubov,et al. Asymptotic Methods in the Theory of Nonlinear Oscillations , 1961 .

[11] Alfred Brian Pippard,et al. The parametrically maintained Foucault pendulum and its perturbations , 1988, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[12] Vladimir B. Braginsky,et al. Foucault Pendulum at the South Pole: Proposal For an Experiment to Detect the Earth's General Relativistic Gravitomagnetic Field , 1984 .