Determination of G with time-of-swing method by using high-Q silica fibers

Li, Qing; Liu, Jianping; Yang, Shan-Qing; Shao, Cheng-Gang; Hao, X. Q.; Jun, Luo

doi:10.22323/1.353.0045

Cited by 3 publications

(6 citation statements)

References 4 publications

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“…We put forward a modified theory for Newton's law of universal gravitation and call it half-effective-field theory, derived a new formula for calculating the exact G value by using the speed of light in vacuum with formulas for error correction between the measured G value and the derived G value. We verify these formulas by Jun Luo's experimental data in 2018 [2,3] , Cavendish's data in 1798 [4] , Luther's data in 1982 [5,6] , Boys' data in 1895 [7] , and Karagioz's data in 1996 [8] ,etc. After being corrected, some measured G values approximately coincide with 1/(16πc).…”

Section: Introductionsupporting

confidence: 56%

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Study of gravitational constant and mercury's precession from perspective of physical aesthetics and ideal fluid

Li¹,

2021

Preprint

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Newton's law of universal gravitation does not explain Mercury's orbit anomalous precession, and gravitational constant G values measured by different research teams do not coincide. This paper studied universal gravitation from a physical aesthetics and ideal fluid perspective, derived new formula for calculating the exact G value by using the speed of light in vacuum with formulas for error correction, and verified by experimental results of other scientists. This provides another explanation for Mercury's anomalous precession, which is completely different from Einstein's general relativity. Conclusion is that G equals 1/(16πc) and Mercury's anomalous precession equals 43"/cy should not be the evidence for prove Einstein's general relativity is correct. In addition, an experimental plan is proposed for the space agency to further verify who is right.

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Section: Introductionsupporting

confidence: 56%

“…( 16) should be selected, then we obtain the corrected G values and the errors, see table1. Measured [2,3] The simple average value is 6.635713E-11 N•m²/kg² with error -50ppm, and the weighted mean value is 6.635888E-11 N•m²/kg² with error -24ppm.…”

Section: Experimental Results Of G Measurementsmentioning

confidence: 98%

Study of gravitational constant and mercury's precession from perspective of physical aesthetics and ideal fluid

Li¹,

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…We put forward a modified theory of universal gravitation and call it half-effective-field theory, and derived a new formula for calculating the exact G value by using the speed of light in vacuum, including formulas for error correction between the measured G value and the derived G value. We verify these formulas by Jun Luo's experimental data in 2018 [2,3] , Cavendish's data in 1798 [4] , Luther's data in 1982 [5,6] , Boys' data in 1895 [7] , and Karagioz's data in 1996 [8] . After being corrected, the measured G values approximately coincide with 1/(16πc).…”

Section: Introductionsupporting

confidence: 55%

“…In 2018, Jun Luo, an academician of the Chinese Academy of Sciences, measured the highest precision gravitational constant in the world at present, include seven values by TOS method. Because Jun Luo's team adopted the periodic method, the pendulum is a cuboid about 90mm long [2,3] , so the pendulum needs to be treated as two connected small mass m. And because the part of gravitation that needs to be corrected is proportional to the reciprocal of the quartic power of r, therefore, the near position of the two configurations only needs to consider the correction between the small mass m and the near large mass M, the influence of another large mass M can be ignored. For the far position, the gravitation between the two small masses m and each large mass M is almost the same, when the torsional angle of the cuboid pendulum is very small, the influence can be ignored and do not need correction.…”

Section: Experimental Results Of G Measurementsmentioning

confidence: 99%

See 1 more Smart Citation

Study of gravitational constant and mercury's precession from perspective of physical aesthetics and ideal fluid

Li¹,

2020

Preprint

View full text Add to dashboard Cite

Newton's law of universal gravitation does not explain the Mercury's orbit anomalous precession, and the gravitational constant G values measured by different research teams do not coincide. This paper studied the two problems from a physical aesthetics and ideal fluid perspective, and derived a new formula for calculating the exact G value by using the speed of light in vacuum, including formulas for error correction, and verified by experimental results of other scientists. After being corrected, the G values measured by some famous surveyors approximately coincide with a specific value. The formulas also verified by the precession of Mercury's orbit and contribute an additional 35.94"/cy to the theoretical calculation value, the Mercury's anomalous precession, calculated by Le Verrier, is then reduced from 38"/cy to about 2"/cy. This provides another explanation for Mercury's anomalous precession which is completely different from that of Einstein's general relativity. Conclusion is that G equals 1/(16πc) when the masses are mass points and the Mercury's orbit anomalous precession equals 43"/cy should not be the evidence for prove Einstein's general relativity is correct. Further, this paper also presented an experimental plan for the space agency to verify who is right.

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Influence of the Earth’s rotation on measurement of gravitational constant G with the time-of-swing method*

Luo¹,

Dong²,

Shao³

et al. 2020

Chinese Phys. B

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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.

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Determination of G with time-of-swing method by using high-Q silica fibers

Cited by 3 publications

References 4 publications

Study of gravitational constant and mercury's precession from perspective of physical aesthetics and ideal fluid

Study of gravitational constant and mercury's precession from perspective of physical aesthetics and ideal fluid

Study of gravitational constant and mercury's precession from perspective of physical aesthetics and ideal fluid

Influence of the Earth’s rotation on measurement of gravitational constant G with the time-of-swing method*

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