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Keplerian Rotation Curve of the Milky Way

Received: 5 August 2024     Accepted: 4 September 2024     Published: 23 September 2024
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Abstract

Use is made from the data from the Gaia satellite of 2013, which measured the rotation of our galactic system by parallax measurements. This implies that the rotation velocities were measured directly without applying the Doppler effect. The results from Gaia allow for a new understanding of flat rotation curves of galactic systems. The study uses earlier findings that the G measurements collected by CODATA show that the gravitational constant G is not a universal constant of nature, but depends on the distance to the center of a mass. At a place where G is larger, the inert mass of, for example, an electron will be larger. This leads to the concept of gravitational spectrum shift. It implies that the emitted spectrum of a star depends on its location within its galacticum. A different spectrum means a different redshift and that implies that the Doppler method for measuring the rotational velocities of stars generally provides wrong data. From available literature the Milky Way rotation curves for conditions with low as well as high accelerations are considered. The two different cases are the nearby solar region and a region far away from the galactic center. Within the solar region all spectra originate with the same G value as near the Sun, and therefore the Doppler method can safely be used. This is different for the case far away from the galactic center, where the impact of the center of mass of the Milky Way on G is small. The conclusions, which have been obtained by analyzing available data, lead to flat rotation curves with a Keplerian decline without introducing dark matter.

Published in American Journal of Modern Physics (Volume 13, Issue 4)
DOI 10.11648/j.ajmp.20241304.11
Page(s) 52-56
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Gravity, Galactic Rotation Curves, Doppler Effect, Gravitational Constant, Kepler

References
[1] Colenbrander, B. G., Hulscher, W. S. The Newtonian Constant and the Einstein Equations. Progress in Physics. 2017, 13(2), 116-117.
[2] Colenbrander, B. G., Hulscher, W. S. Variable G versus the Accelerated Expansion of the Universe. Open Astronomy. 2017, 26, 293-296.
[3] Yongjun Jiao, Francois Hammer, et al. Detection of the Keplerian decline in the Milky Way rotation curve. 2023, A&A 678, A208 (2023).
[4] McDowell, A. C. The Cause of Gravity and the Strong Force. American Journal of Modern Physics. 2015; 5(1-1): 8-17.
[5] Moni Bidin, C., et al., Kinematical and chemical vertical structure of the galactic thick disc. II. A lack of dark matter in the solar neighborhood. ApJ. 2012, 751, 30.
[6] Mohr P. J., Taylor B. N., Newell D. B. CODATA Physics. Atom-ph. 24 Mar 2012.
[7] Oort, J. H. The force exerted by the stellar system in the direction perpendicular to the galactic plane and some related problems Bull. Astron. Inst. 1932. Netherlands, 6, 249.
[8] Ou, X., Eilers, A. C., Necib, L., & Frebel, A. The dark matter profile of the Milky Way inferred from its circular velocity curve. MNRAS. 2024, volume 528, Issue 1, Pages 693-710.
[9] Quin, T. and Speake, C. The Newtonian constant of gravitation- a constant too difficult to measure? An introduction. Phil. Trans. R. Soc. A. 2014. V. 372. 20140253.
[10] Read, J. I. The local dark matter density. J. Phys. 2014, G 41, 063101.
[11] Rubin, V., Ford, W. K., Jr., Thonnard, N. Rotational properties of 21 SC galaxies with a large range of luminosities and radii, from NGC 4605 (R=4kpc) to UGC 2885 (R=122kpc) ApJ. 1980, 238, 471-487.
[12] Sofue, Y., Honma, M., & Omodaka, T. Unified Rotation Curve of the galaxy_ Decomposition into de Vaucouleurs Bulge, Disk, Dark Halo, and the 9-kpc Rotation Dip. PASJ. 2008, 61, 227.
[13] Trippe, S. A simplified treatment of gravitational interaction on galactic scales. A Journal of the Korean Astronomical Society. 2012, 46(1): 41–47.
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  • APA Style

    Colenbrander, B., Hulscher, W. (2024). Keplerian Rotation Curve of the Milky Way. American Journal of Modern Physics, 13(4), 52-56. https://doi.org/10.11648/j.ajmp.20241304.11

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    ACS Style

    Colenbrander, B.; Hulscher, W. Keplerian Rotation Curve of the Milky Way. Am. J. Mod. Phys. 2024, 13(4), 52-56. doi: 10.11648/j.ajmp.20241304.11

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    AMA Style

    Colenbrander B, Hulscher W. Keplerian Rotation Curve of the Milky Way. Am J Mod Phys. 2024;13(4):52-56. doi: 10.11648/j.ajmp.20241304.11

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  • @article{10.11648/j.ajmp.20241304.11,
      author = {Bernard Colenbrander and Willem Hulscher},
      title = {Keplerian Rotation Curve of the Milky Way
    },
      journal = {American Journal of Modern Physics},
      volume = {13},
      number = {4},
      pages = {52-56},
      doi = {10.11648/j.ajmp.20241304.11},
      url = {https://doi.org/10.11648/j.ajmp.20241304.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20241304.11},
      abstract = {Use is made from the data from the Gaia satellite of 2013, which measured the rotation of our galactic system by parallax measurements. This implies that the rotation velocities were measured directly without applying the Doppler effect. The results from Gaia allow for a new understanding of flat rotation curves of galactic systems. The study uses earlier findings that the G measurements collected by CODATA show that the gravitational constant G is not a universal constant of nature, but depends on the distance to the center of a mass. At a place where G is larger, the inert mass of, for example, an electron will be larger. This leads to the concept of gravitational spectrum shift. It implies that the emitted spectrum of a star depends on its location within its galacticum. A different spectrum means a different redshift and that implies that the Doppler method for measuring the rotational velocities of stars generally provides wrong data. From available literature the Milky Way rotation curves for conditions with low as well as high accelerations are considered. The two different cases are the nearby solar region and a region far away from the galactic center. Within the solar region all spectra originate with the same G value as near the Sun, and therefore the Doppler method can safely be used. This is different for the case far away from the galactic center, where the impact of the center of mass of the Milky Way on G is small. The conclusions, which have been obtained by analyzing available data, lead to flat rotation curves with a Keplerian decline without introducing dark matter.
    },
     year = {2024}
    }
    

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  • TY  - JOUR
    T1  - Keplerian Rotation Curve of the Milky Way
    
    AU  - Bernard Colenbrander
    AU  - Willem Hulscher
    Y1  - 2024/09/23
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    DO  - 10.11648/j.ajmp.20241304.11
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
    SP  - 52
    EP  - 56
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.20241304.11
    AB  - Use is made from the data from the Gaia satellite of 2013, which measured the rotation of our galactic system by parallax measurements. This implies that the rotation velocities were measured directly without applying the Doppler effect. The results from Gaia allow for a new understanding of flat rotation curves of galactic systems. The study uses earlier findings that the G measurements collected by CODATA show that the gravitational constant G is not a universal constant of nature, but depends on the distance to the center of a mass. At a place where G is larger, the inert mass of, for example, an electron will be larger. This leads to the concept of gravitational spectrum shift. It implies that the emitted spectrum of a star depends on its location within its galacticum. A different spectrum means a different redshift and that implies that the Doppler method for measuring the rotational velocities of stars generally provides wrong data. From available literature the Milky Way rotation curves for conditions with low as well as high accelerations are considered. The two different cases are the nearby solar region and a region far away from the galactic center. Within the solar region all spectra originate with the same G value as near the Sun, and therefore the Doppler method can safely be used. This is different for the case far away from the galactic center, where the impact of the center of mass of the Milky Way on G is small. The conclusions, which have been obtained by analyzing available data, lead to flat rotation curves with a Keplerian decline without introducing dark matter.
    
    VL  - 13
    IS  - 4
    ER  - 

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