The Newtonian gravitational constant G is determined by means of the swing time method at the Cave Laboratory of Center for Gravitational Experiment of Huazhong University of Science and Technology. The result value o...The Newtonian gravitational constant G is determined by means of the swing time method at the Cave Laboratory of Center for Gravitational Experiment of Huazhong University of Science and Technology. The result value of G is (6.669 0±0.001 6)×10 -11 m 3·kg -1 ·s -2 , which is consistent with the CODATA value of G obtained by Cohen and Taylor in 3σ .展开更多
In the measurement of the Newtonian gravitational constant G with the time-of-swing method,the influence of the Earth's rotation has been roughly estimated before,which is far beyond the current experimental preci...In the measurement of the Newtonian gravitational constant G with the time-of-swing method,the influence of the Earth's rotation has been roughly estimated before,which is far beyond the current experimental precision.Here,we present a more complete theoretical modeling and assessment process.To figure out this effect,we use the relativistic Lagrangian expression to derive the motion equations of the torsion pendulum.With the correlation method and typical parameters,we estimate that the influence of the Earth's rotation on G measurement is far less than 1 ppm,which may need to be considered in the future high-accuracy experiments of determining the gravitational constant G.展开更多
文摘The Newtonian gravitational constant G is determined by means of the swing time method at the Cave Laboratory of Center for Gravitational Experiment of Huazhong University of Science and Technology. The result value of G is (6.669 0±0.001 6)×10 -11 m 3·kg -1 ·s -2 , which is consistent with the CODATA value of G obtained by Cohen and Taylor in 3σ .
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11575160 and 11805074)the Postdoctoral Science Foundation of China(Grant Nos.2017M620308 and 2018T110750).
文摘In the measurement of the Newtonian gravitational constant G with the time-of-swing method,the influence of the Earth's rotation has been roughly estimated before,which is far beyond the current experimental precision.Here,we present a more complete theoretical modeling and assessment process.To figure out this effect,we use the relativistic Lagrangian expression to derive the motion equations of the torsion pendulum.With the correlation method and typical parameters,we estimate that the influence of the Earth's rotation on G measurement is far less than 1 ppm,which may need to be considered in the future high-accuracy experiments of determining the gravitational constant G.
