METHOD OF MEASURING GRAVITATION CONSTANT Russian patent published in 2017 - IPC G01V7/10 

FIELD: measuring equipment.

SUBSTANCE: attracting bodies are set at specified positions. The initial amplitude of the torsion balance oscillations is specified. The periods, the balance oscillation amplitudes, as well as the weights, sizes, position of all interacting bodies, are measured at all the positions. The moments of attracting the working balance body by the attracting bodies and the moment of its inertia about the vertical axis are calculated. The gravitation constant is determined by the system of two differential equations of motion. Wherein ball weights are replaced by cylindrical ones with an axial opening close to the rocker diameter. The diameter of the weights is chosen so that when the deviation angle is small, the moments of gravity of the weights in the spherical and cylindrical form in the first, closest to the balance, position of the attracting bodies coincide. The resulting equality is checked for another deviation angles and positions of the attracting bodies. The balance with cylindrical weights is assembled using axial openings for fixing the rocker with weights by the sliding fit. The calculations of the gravitation constant are carried out using a system of differential equations, in which the moments of attraction have simple analytic expressions for the spherical shape of the interacting bodies. The error of calculations is reduced by introducing in the programme two arrays of corrective factors by the deviation angles of the balance and the positions of the attracting bodies.

EFFECT: determining the gravitation constant in case of the cylindrical shape of the rocker weights.

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