LaGuer / gravitational-constant

Calculus for a better approximation of G the newtonian gravitational constant

gravitational-constant

This repository contains the Jupyter notebooks of 4 Methods exhibiting the gravitational constant with a better approximation than the one given by CODATA2018.

Python modules used: scipy and numpy

Fixed Constants used are:

• 𝜋=3.141592653589793
• Euler Mascheroni 𝛾=0.5772156649015329
• Atiyah's Γ=25.178097241906
• Eddington Electric Constant 𝑎=137.0359990836958 also known as the inversed fine structure constant CODATA2018
• 𝑐=299792458.0 m/s CODATA2018
• ℎ=6.62607015.10−34 𝐽.𝐻𝑧−1 CODATA2018
• ℏ=1.0545718176461565.10−34 𝐽.𝑠 CODATA2018
• 𝑙𝑃=1.616255.10−35 m Planck length CODATA2018
• 𝑚𝑃=2.176434.10−8 kg Planck mass CODATA2018
• ƛ𝑒 =3.8615926796.10−13 m Reduced (Electron) Compton Wavelength CODATA2018
• ƛ𝑝 =2.10308910336.10−16 m Reduced (Proton) Compton Wavelength CODATA2018
• Mass of the electron 𝑚𝑒=9.1093837015.10−31 kg CODATA2018
• Mass of the proton 𝑚𝑝=1.67262192369.10−27 kg CODATA2018
• Boson 𝑊=80.379𝐺𝑒𝑉 ± 0.012 Particle Data Group Bosons M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019
• Boson 𝑍=91.1876𝐺𝑒𝑉 ± 0.0023 Particle Data Group Bosons M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019
• Lepton 𝑒=0.5109989461𝑀𝑒𝑉 Particle Data Group Leptons M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019
• Baryon 𝑝=938.272081𝑀𝑒𝑉 Particle Data Group Baryons M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019
• Baryon 𝑛=939.565413𝑀𝑒𝑉 Particle Data Group Baryons M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019
• 𝐺=6.6743.10−11 𝑚3.𝑘𝑔−1.𝑠−2 Newtonian constant of gravitation CODATA2018
• 𝐺𝑞=6.6755.10−11 𝑚3.𝑘𝑔−1.𝑠−2 Newtonian constant of gravitation measured by T.Quinn et al. (2013) BIPM Sevres Improved determination of G using two methods
• 𝐺𝑏2𝑐=6.6754552.10−11 𝑚3.𝑘𝑔−1.𝑠−2 Newtonian constant of gravitation estimated by Francis M. Sanchez et al. (2019) in Back to Cosmos
• 𝐺𝑠=6.67545372.10−11 𝑚3.𝑘𝑔−1.𝑠−2 Newtonian constant of gravitation estimate by Francis M. Sanchez (Jan 2020)