METHOD OF DETERMINING GRAVITATIONAL CONSTANT Russian patent published in 2018 - IPC G01V7/00 

FIELD: measuring equipment.

SUBSTANCE: invention relates to methods for determining the gravitational constant and can be used to determine the gravitational constant for the shape of interacting bodies other than the ball. Essence: for all positions of the attracting bodies, the periods and amplitudes of the oscillations of the torsion balance are measured, as well as the masses, dimensions, position of all interacting bodies, according to which the moments of attraction of the working body of the weights by the attracting bodies and the moment of its inertia about the vertical axis are calculated. In addition, the effect of the means of moving the attracting bodies on the oscillation period of the balance is measured. Gravitational constant in the system of two differential equations of motion is determined. In order to determine the gravitational constant on the basis of the numerical values of the moments of attraction of the working body of the weights with attractive bodies for different fixed values of the deflection angles, instead of the model systems providing calculations by analytical formulas with preservation of the periods and amplitudes of the oscillations,analytical expressions are found for the moments of attraction at given positions interacting bodies, containing coefficients at the first and third degrees of the angle of deviation of the weights. If necessary, higher degrees are added. After that, the numerical values of the gravitational constant are determined by two independent methods, adapted to a specific experiment by introducing coefficient arrays at all positions for different degrees of the angle of deviation of the weights. When the dependence of the gravitational constant on the combinations of positions is found, it is eliminated by selecting the position of the attracting bodies in the near position while preserving the distances between all the positions. In this case, the final result and the experimental data are considered reliable if in all combinations of positions a value of the gravitational constant close to the standard value is obtained. At the final stage, all possible combinations of the gravitational constant are equalized by the correction of the oscillation periods.

EFFECT: technical result: refinement of the value of the gravitational constant in already conducted works, where bodies of complicated form were used without additional experiments.

1 cl, 1 dwg