Annotation
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.
Received: 2014 January 29
Approved: 2014 September 26
PACS:
06.20.Jr Determination of fundamental constants
04.80.Cc Experimental tests of gravitational theories
07.10.Pz Instruments for strain, force, and torque
02.60.Lj Ordinary and partial differential equations; boundary value problems
04.80.Cc Experimental tests of gravitational theories
07.10.Pz Instruments for strain, force, and torque
02.60.Lj Ordinary and partial differential equations; boundary value problems
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
V.M. Shakhparonov
Department of Physics, Moscow State University, Moscow, 119991, Russia
Department of Physics, Moscow State University, Moscow, 119991, Russia
Science News of the Faculty of Physics, Lomonosov Moscow State University
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