Thermal noise limit on the period of a torsion pendulum

Details Thermal noise limit on the period of a torsion pendulum Thermal noise limit on the period of a torsion pendulum

Oct 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cqgra..26s5005l&link_type=abstract

Classical and Quantum Gravity, Volume 26, Issue 19, pp. 195005 (2009).

Physics

1

Scientific paper

By introducing the weighting function, we developed a method to calculate the influence of thermal noise on the period measurement in a torsion pendulum. According to the nonlinear least-squares fitting method and the correlation method, we calculated the weighting function and obtained a rigorous formula of thermal noise limit for the period measurement, where the uncertainty of the period is proportional to 1/(mQ)1/2 with Q the quality factor and m the number of the period during the whole measurement time. The result is significant for the precision determination of the Newtonian gravitational constant using the time-of-swing method.

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