Single Parameter Model for Galaxy Rotation Curves

Fuente: arXiv
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Hauptverfasser: Cisneros, Sophia N., Ott, Rich, Crowley, Meagan, Roberts, Amy, Paz, Marcus
Format: Preprint
Veröffentlicht: 2026
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author Cisneros, Sophia N.
Ott, Rich
Crowley, Meagan
Roberts, Amy
Paz, Marcus
author_facet Cisneros, Sophia N.
Ott, Rich
Crowley, Meagan
Roberts, Amy
Paz, Marcus
contents One key piece of evidence for dark matter is the rotation-curve problem: the disagreement between measured galactic rotation curves and their luminous mass. A novel solution to this problem is presented here, in a model that predicts observed Doppler-shifted spectra based only on the luminous matter estimates and one free model parameter. This model is applied to fit the rotation curves of the SPARC sample of 175 galaxies, yielding mass-to-light ratios, goodness of fit measurements, and the free parameter. The model's average reduced chi square compares favorably with the dark matter model for the same data, and more galaxies are successfully fit by this model. The model provides a useful formulation linking luminous matter to the observed rotation curves, with the dark matter contribution to galaxies encoded in two transformation terms of the luminous mass. It also offers a lower-parameter characterization of the rotation curve problem, and a power law relationship between the model's free parameter and galactic photometric quantities is observed, potentially removing the need for the free parameter.
format Preprint
id arxiv_https___arxiv_org_abs_2602_24211
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Single Parameter Model for Galaxy Rotation Curves
Cisneros, Sophia N.
Ott, Rich
Crowley, Meagan
Roberts, Amy
Paz, Marcus
Astrophysics of Galaxies
One key piece of evidence for dark matter is the rotation-curve problem: the disagreement between measured galactic rotation curves and their luminous mass. A novel solution to this problem is presented here, in a model that predicts observed Doppler-shifted spectra based only on the luminous matter estimates and one free model parameter. This model is applied to fit the rotation curves of the SPARC sample of 175 galaxies, yielding mass-to-light ratios, goodness of fit measurements, and the free parameter. The model's average reduced chi square compares favorably with the dark matter model for the same data, and more galaxies are successfully fit by this model. The model provides a useful formulation linking luminous matter to the observed rotation curves, with the dark matter contribution to galaxies encoded in two transformation terms of the luminous mass. It also offers a lower-parameter characterization of the rotation curve problem, and a power law relationship between the model's free parameter and galactic photometric quantities is observed, potentially removing the need for the free parameter.
title Single Parameter Model for Galaxy Rotation Curves
topic Astrophysics of Galaxies
url https://arxiv.org/abs/2602.24211