An Extended Newtonian Gravitation (ENG) model previously developed by the author for galaxies and galaxy clusters was applied to wide binary systems where an apparent missing mass problem was found from the Hipparcos and Gaia catalogue. The ENG model shows results consistent with the experimental values of the asymptotic velocity difference between the stars. MOND (as an inertial paradigm) failed to show its asymptotic behavior when its external field effect was considered. It had an almost Newtonian behavior for accelerations well below MOND’s characteristic acceleration. The importance of reducing the uncertainty of the experiments concerning the velocity difference of the wide binary system is remarked because it could provide a solid way to confirm (or falsify) physical hypotheses concerning dark matter and non-Newtonian physics.
Cite this paper
Quintero-Leyva, B. (2022). The Application of ENG (Extended Newtonian Gravitation) to Wide Binary Systems. Open Access Library Journal, 9, e8950. doi: http://dx.doi.org/10.4236/oalib.1108950.
Sanders, R.H. (2003) Clusters of Galaxies with Modified Newtonian Dynamics. Monthly Notices of the Royal Astronomical Society, 342, 901-908.
https://doi.org/10.1046/j.1365-8711.2003.06596.x
Hernandez, X., Jimenez, M.A. and Allen, C. (2012) Wide Binary as a Critical Test of Classical Gravity. The European Physical Journal C, 72, Article No. 1884.
https://doi.org/10.1140/epjc/s10052-012-1884-6
McCulloch, M.E. and Lucio, J.H. (2019) Testing Newton/GR, MoND and Quantized Inertia on Wide Binaries. Astrophysics and Space Science, 364, Article No. 121.
https://doi.org/10.1007/s10509-019-3615-z
Quintero-Leyva, B. (2022) Gravitto-Electrodynamics in Galaxy Rotation Curves. ENG: An Extended Newtonian Gravitation. Journal of High Energy Physics, Gravitation and Cosmology, 8, 372-391. https://doi.org/10.4236/jhepgc.2022.82029
Milgrom, M. (1983) A Modification of the Newtonian Dynamics as a Possible Alternative to the Hidden Mass Hypothesis. Astrophysical Journal, 270, 365-370.
https://doi.org/10.1086/161130
Milgrom, M. (1983) A Modification of the Newtonian Dynamics. Implications for Galaxies. Astrophysical Journal, 270, 371-383. https://doi.org/10.1086/161132
McGaugh, S.S., et al. (2010) The Baryon Content of Cosmic Structures. The Astrophysical Journal, 708, L14-L17. https://doi.org/10.1088/2041-8205/708/1/L14