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

作者：Shakhparonov V M^*

来源：Moscow University Physics Bulletin, 2014, 69(4): 300-307.

DOI：10.3103/S0027134914040109

• nonlinear oscillations
• equation of oscillations
• asymptotic methods
• gravitational constant
• torsion balance
• time-of-swing method
• destabilizing factors

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.

• 出版日期2014-7