Determination of the Newtonian gravitational constantGwith a nonlinear fitting method

The Newtonian gravitational constant G is determined by means of a high-Q torsion pendulum and the time-of-swing method, in which the period of the pendulum is altered by the presence of two 6.25-kg stainless steel cylinders. The nonlinear fitting method is used to extract the frequencies from the angle-time data of the pendulum. The resulting value of G is $(6.6699±{}0.0007)×{}{10}^{{-}11}{m}³{kg}^{{{-}}1}{s}^{{{-}}2}.$