Non-linear effects in the determination of the gravitational constant by means of the swing time method

Details Non-linear effects in the determination of the gravitational constant by means of the swing time method Non-linear effects in the determination of the gravitational constant by means of the swing time method

Nov 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phla..106...19c&link_type=abstract

Physics Letters (ISSN 0375-9601), vol. 106A, Nov. 19, 1984, p. 19-22.

Physics

10

Gravimetry, Gravitational Constant, Measuring Instruments, Pendulums, Differential Equations, Equilibrium, Integral Equations, Torsion

Scientific paper

Nonlinear effects on the experimental measurement of the gravitational constant by the swing-time method (Reich, 1852; Heyl and Chrzanowski, 1942; Luther and Towler, 1982) are evaluated analytically, extending the results of Cook and Chen (1982) and Chen et al. (1984) to treat both near and far positions of the pendulum for an attracting mass of arbitrary shape. Particular attention is given to the appearance of theta-squared terms in the far-position case, and the experimental conditions under which these nonlinear effects cancel each other are defined.

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