{"id":31823032,"url":"https://github.com/laguer/gravitational-constant","last_synced_at":"2025-10-11T14:26:35.554Z","repository":{"id":106680745,"uuid":"234861345","full_name":"LaGuer/gravitational-constant","owner":"LaGuer","description":"Calculus for a better approximation of G the newtonian gravitational constant","archived":false,"fork":false,"pushed_at":"2025-03-30T23:32:45.000Z","size":156,"stargazers_count":2,"open_issues_count":0,"forks_count":2,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-03-31T00:23:51.179Z","etag":null,"topics":["atiyah","compton-electron-wavelength","constant","eddington","euler","gravitational","mascheroni"],"latest_commit_sha":null,"homepage":"","language":"Jupyter 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Notebook","funding_links":[],"categories":[],"sub_categories":[],"readme":"# gravitational-constant\n\n[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/LaGuer/gravitational-constant/master)\n[![Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/laguer/gravitational-constant/blob/mastergravitational-constant.ipynb)\n[![nbviewer](https://img.shields.io/badge/view%20on-nbviewer-brightgreen.svg)](https://nbviewer.jupyter.org/github/LaGuer/gravitational-constant/blob/master/gravitational-constant.ipynb)\n\nThis repository contains the Jupyter notebooks of 4 Methods exhibiting the gravitational constant with a better approximation than the one given by CODATA2018.\n\nPython modules used: scipy and numpy\n\nFixed Constants used are:\n\n* 𝜋=3.141592653589793 \n* Euler Mascheroni  𝛾=0.5772156649015329 \n* Atiyah's  Γ=25.178097241906 \n* Eddington Electric Constant  𝑎=137.0359990836958  also known as the inversed fine structure constant CODATA2018\n* 𝑐=299792458.0  m/s CODATA2018\n* ℎ=6.62607015.10−34   𝐽.𝐻𝑧−1  CODATA2018\n* ℏ=1.0545718176461565.10−34   𝐽.𝑠  CODATA2018\n* 𝑙𝑃=1.616255.10−35  m Planck length CODATA2018\n* 𝑚𝑃=2.176434.10−8  kg Planck mass CODATA2018\n* ƛ𝑒 =3.8615926796.10−13 m Reduced (Electron) Compton Wavelength CODATA2018\n* ƛ𝑝 =2.10308910336.10−16 m Reduced (Proton) Compton Wavelength CODATA2018\n* Mass of the electron  𝑚𝑒=9.1093837015.10−31  kg CODATA2018\n* Mass of the proton  𝑚𝑝=1.67262192369.10−27  kg CODATA2018\n* 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\n* 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\n* Lepton  𝑒=0.5109989461𝑀𝑒𝑉  Particle Data Group Leptons M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019\n* Baryon  𝑝=938.272081𝑀𝑒𝑉  Particle Data Group Baryons M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019\n* Baryon  𝑛=939.565413𝑀𝑒𝑉  Particle Data Group Baryons M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019\n* 𝐺=6.6743.10−11   𝑚3.𝑘𝑔−1.𝑠−2  Newtonian constant of gravitation CODATA2018\n* 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\n* 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\n* 𝐺𝑠=6.67545372.10−11   𝑚3.𝑘𝑔−1.𝑠−2  Newtonian constant of gravitation estimate by Francis M. Sanchez (Jan 2020)\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Flaguer%2Fgravitational-constant","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Flaguer%2Fgravitational-constant","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Flaguer%2Fgravitational-constant/lists"}