An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies

Paul Cadelina Rivera

doi:doi:10.11648/j.ajaa.20190704.14

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An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies

Paul Cadelina Rivera

Published in American Journal of Astronomy and Astrophysics (Volume 7, Issue 4)

Received: 13 November 2019 Accepted: 7 December 2019 Published: 19 December 2019

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Abstract

A new model of galaxy rotation based on the cyclostrophic model of vortices found in nature is developed. The model is tested using the SPARC dataset of 175 galaxies and a smaller dataset comprising of 60 galaxies. Analysis of the datasets showed that galactic rotation can be adequately described using the observed surface brightness of galaxies and the newly developed cyclostrophic velocity model. The use of the luminosity and the inverse mass-to-light ratio in lieu of the surface brightness, also yield a very good fit of the observed and computed galaxy rotation velocity. Evidently, galactic rotation greatly depends on the cyclostrophic balance of the pressure gradient and the centrifugal forces and the seismic-induced radial expansion occurring in various stars. This is the most probable origin of the action of a single force law that has been overlooked in previous studies. Therefore, the need for a super-massive black hole at the center of galaxies or hidden dark matter can be eliminated. Attractive gravitational force can occur even without a massive black hole at the center of galaxies. There appears to be a pressure gradient force between the center and the outer parts of galaxies that sustains attraction. The cyclostrophic model appears to be the physical basis of the Tully-Fisher relation. Furthermore, the missing mass problem associated with galactic rotation can be attributed to the orbital expansion of celestial objects perturbed by seismic-induced forces. In addition, massive tremors or starquakes may create a domino effect in perturbing nearby stars along the axis of the seismic-induced force and this could result in the formation of elliptical galaxies as the orbits of seismic-perturbed neighboring stars become larger.

Published in	American Journal of Astronomy and Astrophysics (Volume 7, Issue 4)
DOI	10.11648/j.ajaa.20190704.14
Page(s)	73-79
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), 2019. Published by Science Publishing Group

Keywords

Cyclostrophic Rotation, Gravitational Weakening, Tully-Fisher Relation, Surface Brightness, Mass Discrepancy

References

[1]	Di Paolo C., Salucci P., & Fontaine J. P. (2019). The Radial Acceleration Relation (RAR): Crucial cases of dwarf disks and low-surface-brightness galaxies. The Astrophysical Journal, Vol. 873, No. 2.
[2]	Kamada A, Kaplinghat M., Pace A. B., & Yu HB. (2017). Self-Interacting Dark Matter Can Explain Diverse Galactic Rotation Curves Phys. Rev. Lett. 119, 111102 – Published 13 September 2017.
[3]	LeBlanc, F. (2010). An Introduction to Stellar Astrophysics. John Wiley and Sons, Ltd. Pp. 358.
[4]	Lelli F, Mcgaugh, S. & Schombert, J. (2017). Testing Verlinde's Emergent Gravity with the Radial Acceleration Relation. Monthly Notices of the Royal Astronomical Society: Letters. 10.1093/mnrasl/slx031.
[5]	Li P, Lelli, F. McGaugh, S. and Schombert J. M. (2018). Fitting the radial acceleration relation to individual SPARC galaxies. Astro. & Astrophysics. doi.org/10.1051/0004-6361/201732547.
[6]	McGaugh S. (2005). The baryonic Tully-Fisher relation of galaxies with extended rotation curves and the stellar mass of rotating galaxies. The Astrophysical Journal, 632: 859–871.
[7]	McGaugh, S, Lelli F. & Schombert J. (2017). The Radial Acceleration Relation in Rotationally Supported Galaxies. Arxiv preprint.
[8]	Mo, J. H & Mao, S. (2001). The origin of the Tully-Fisher relation. Progress in Astronomy. 84-97.
[9]	Nonesa, J. G. & Fukazawa, Y. & Ohsugi, T. (2006). Chandra and ROSAT observations of NGC 5044: Profile of dark halos in galaxy groups. Publications of The Astronomical Society of Japan - PUBL ASTRON SOC JPN. 58. 103-112. DOI: 10.1093/pasj/58.1.103.
[10]	Persic M., Salucci P. & Stel F. (1995). The universal rotation curve of spiral galaxies: The dark matter connection. MNRAS. 283 (0035-8711).
[11]	Rivera, P. C. (2019). Gravitational Weakening of Seismic Origin as a Driving Mechanism of Some Astronomical Anomalies. Applied Physics Research. Vol. 11, No. 2 (2019). DOI: 10.5539/apr.v11n2p10.
[12]	Sofue, Y. (2013) Mass Distribution and Rotation Curve in the Galaxy. In: Oswalt T. D., Gilmore G. (eds) Planets, Stars and Stellar Systems. Springer, Dordrecht.
[13]	Starkman, N. Lelli, F. McGaugh, S. and Schombert J. M. SPARC I Database. Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves.
[14]	Wood, V. T., Tanamachi, R. L. & White, L. W. (2014). A Parametric Wind-Pressure Relationship for Concentric Cyclostrophic Vortices (2014). 27th Conf. on Severe Local Storms, Amer. Meteor. Soc., 4-7 November 2014, Madison, WI.
[15]	https://history.nasa.gov/SP-466/ch22.htm (accessed on 25 March 2019).

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Paul Cadelina Rivera. (2019). An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies. American Journal of Astronomy and Astrophysics, 7(4), 73-79. https://doi.org/10.11648/j.ajaa.20190704.14

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Paul Cadelina Rivera. An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies. Am. J. Astron. Astrophys. 2019, 7(4), 73-79. doi: 10.11648/j.ajaa.20190704.14

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AMA Style

Paul Cadelina Rivera. An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies. Am J Astron Astrophys. 2019;7(4):73-79. doi: 10.11648/j.ajaa.20190704.14

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@article{10.11648/j.ajaa.20190704.14,
  author = {Paul Cadelina Rivera},
  title = {An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies},
  journal = {American Journal of Astronomy and Astrophysics},
  volume = {7},
  number = {4},
  pages = {73-79},
  doi = {10.11648/j.ajaa.20190704.14},
  url = {https://doi.org/10.11648/j.ajaa.20190704.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajaa.20190704.14},
  abstract = {A new model of galaxy rotation based on the cyclostrophic model of vortices found in nature is developed. The model is tested using the SPARC dataset of 175 galaxies and a smaller dataset comprising of 60 galaxies. Analysis of the datasets showed that galactic rotation can be adequately described using the observed surface brightness of galaxies and the newly developed cyclostrophic velocity model. The use of the luminosity and the inverse mass-to-light ratio in lieu of the surface brightness, also yield a very good fit of the observed and computed galaxy rotation velocity. Evidently, galactic rotation greatly depends on the cyclostrophic balance of the pressure gradient and the centrifugal forces and the seismic-induced radial expansion occurring in various stars. This is the most probable origin of the action of a single force law that has been overlooked in previous studies. Therefore, the need for a super-massive black hole at the center of galaxies or hidden dark matter can be eliminated. Attractive gravitational force can occur even without a massive black hole at the center of galaxies. There appears to be a pressure gradient force between the center and the outer parts of galaxies that sustains attraction. The cyclostrophic model appears to be the physical basis of the Tully-Fisher relation. Furthermore, the missing mass problem associated with galactic rotation can be attributed to the orbital expansion of celestial objects perturbed by seismic-induced forces. In addition, massive tremors or starquakes may create a domino effect in perturbing nearby stars along the axis of the seismic-induced force and this could result in the formation of elliptical galaxies as the orbits of seismic-perturbed neighboring stars become larger.},
 year = {2019}
}

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TY - JOUR
T1 - An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies
AU - Paul Cadelina Rivera
Y1 - 2019/12/19
PY - 2019
N1 - https://doi.org/10.11648/j.ajaa.20190704.14
DO - 10.11648/j.ajaa.20190704.14
T2 - American Journal of Astronomy and Astrophysics
JF - American Journal of Astronomy and Astrophysics
JO - American Journal of Astronomy and Astrophysics
SP - 73
EP - 79
PB - Science Publishing Group
SN - 2376-4686
UR - https://doi.org/10.11648/j.ajaa.20190704.14
AB - A new model of galaxy rotation based on the cyclostrophic model of vortices found in nature is developed. The model is tested using the SPARC dataset of 175 galaxies and a smaller dataset comprising of 60 galaxies. Analysis of the datasets showed that galactic rotation can be adequately described using the observed surface brightness of galaxies and the newly developed cyclostrophic velocity model. The use of the luminosity and the inverse mass-to-light ratio in lieu of the surface brightness, also yield a very good fit of the observed and computed galaxy rotation velocity. Evidently, galactic rotation greatly depends on the cyclostrophic balance of the pressure gradient and the centrifugal forces and the seismic-induced radial expansion occurring in various stars. This is the most probable origin of the action of a single force law that has been overlooked in previous studies. Therefore, the need for a super-massive black hole at the center of galaxies or hidden dark matter can be eliminated. Attractive gravitational force can occur even without a massive black hole at the center of galaxies. There appears to be a pressure gradient force between the center and the outer parts of galaxies that sustains attraction. The cyclostrophic model appears to be the physical basis of the Tully-Fisher relation. Furthermore, the missing mass problem associated with galactic rotation can be attributed to the orbital expansion of celestial objects perturbed by seismic-induced forces. In addition, massive tremors or starquakes may create a domino effect in perturbing nearby stars along the axis of the seismic-induced force and this could result in the formation of elliptical galaxies as the orbits of seismic-perturbed neighboring stars become larger.
VL - 7
IS - 4
ER -

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Author Information

Paul Cadelina Rivera

Astro-Metocean Department, Hymetocean Peers Company, Antipolo City, Philippines

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APA Style

Paul Cadelina Rivera. (2019). An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies. American Journal of Astronomy and Astrophysics, 7(4), 73-79. https://doi.org/10.11648/j.ajaa.20190704.14

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ACS Style

Paul Cadelina Rivera. An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies. Am. J. Astron. Astrophys. 2019, 7(4), 73-79. doi: 10.11648/j.ajaa.20190704.14

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AMA Style

Paul Cadelina Rivera. An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies. Am J Astron Astrophys. 2019;7(4):73-79. doi: 10.11648/j.ajaa.20190704.14

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@article{10.11648/j.ajaa.20190704.14,
  author = {Paul Cadelina Rivera},
  title = {An Alternative Model of Rotation Curve that Explains Anomalous Orbital Velocity, Mass Discrepancy and Structure of Some Galaxies},
  journal = {American Journal of Astronomy and Astrophysics},
  volume = {7},
  number = {4},
  pages = {73-79},
  doi = {10.11648/j.ajaa.20190704.14},
  url = {https://doi.org/10.11648/j.ajaa.20190704.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajaa.20190704.14},
  abstract = {A new model of galaxy rotation based on the cyclostrophic model of vortices found in nature is developed. The model is tested using the SPARC dataset of 175 galaxies and a smaller dataset comprising of 60 galaxies. Analysis of the datasets showed that galactic rotation can be adequately described using the observed surface brightness of galaxies and the newly developed cyclostrophic velocity model. The use of the luminosity and the inverse mass-to-light ratio in lieu of the surface brightness, also yield a very good fit of the observed and computed galaxy rotation velocity. Evidently, galactic rotation greatly depends on the cyclostrophic balance of the pressure gradient and the centrifugal forces and the seismic-induced radial expansion occurring in various stars. This is the most probable origin of the action of a single force law that has been overlooked in previous studies. Therefore, the need for a super-massive black hole at the center of galaxies or hidden dark matter can be eliminated. Attractive gravitational force can occur even without a massive black hole at the center of galaxies. There appears to be a pressure gradient force between the center and the outer parts of galaxies that sustains attraction. The cyclostrophic model appears to be the physical basis of the Tully-Fisher relation. Furthermore, the missing mass problem associated with galactic rotation can be attributed to the orbital expansion of celestial objects perturbed by seismic-induced forces. In addition, massive tremors or starquakes may create a domino effect in perturbing nearby stars along the axis of the seismic-induced force and this could result in the formation of elliptical galaxies as the orbits of seismic-perturbed neighboring stars become larger.},
 year = {2019}
}

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