https://github.com/laguer/gravitational-constant

Calculus for a better approximation of G the newtonian gravitational constant
https://github.com/laguer/gravitational-constant

atiyah compton-electron-wavelength constant eddington euler gravitational mascheroni

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Calculus for a better approximation of G the newtonian gravitational constant

• Host: GitHub
• URL: https://github.com/laguer/gravitational-constant
• Owner: LaGuer
• Created: 2020-01-19T07:50:48.000Z (over 6 years ago)
• Default Branch: master
• Last Pushed: 2025-03-30T23:32:45.000Z (about 1 year ago)
• Last Synced: 2025-03-31T00:23:51.179Z (about 1 year ago)
• Topics: atiyah, compton-electron-wavelength, constant, eddington, euler, gravitational, mascheroni
• Language: Jupyter Notebook
• Homepage:
• Size: 152 KB
• Stars: 2
• Watchers: 1
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# gravitational-constant

[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/LaGuer/gravitational-constant/master)

[![Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/laguer/gravitational-constant/blob/mastergravitational-constant.ipynb)

[![nbviewer](https://img.shields.io/badge/view%20on-nbviewer-brightgreen.svg)](https://nbviewer.jupyter.org/github/LaGuer/gravitational-constant/blob/master/gravitational-constant.ipynb)

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)