Rotation Curve Fitting Model

Fuente: arXiv
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Autores principales: Cisneros, Sophia Natalia, Ott, Richard, Crowley, Meagan, Roberts, Amy, Paz, Marcus, Brown, Zaneeyiah, Joyal, Landon, Rico, Roberto Real, Gutierrez-Gutierrez, Elizabeth, Pham, Phong, Holland, Zac, Livingston, Amanda, Castrellon, Lily, Graham, Summer, Rubin, Shanon J., Ashleya, Aaron, Battaglia, Dillon, Lopez, Daniel, Salwa, Maya
Formato: Preprint
Publicado: 2023
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author Cisneros, Sophia Natalia
Ott, Richard
Crowley, Meagan
Roberts, Amy
Paz, Marcus
Brown, Zaneeyiah
Joyal, Landon
Rico, Roberto Real
Gutierrez-Gutierrez, Elizabeth
Pham, Phong
Holland, Zac
Livingston, Amanda
Castrellon, Lily
Graham, Summer
Rubin, Shanon J.
Ashleya, Aaron
Battaglia, Dillon
Lopez, Daniel
Salwa, Maya
author_facet Cisneros, Sophia Natalia
Ott, Richard
Crowley, Meagan
Roberts, Amy
Paz, Marcus
Brown, Zaneeyiah
Joyal, Landon
Rico, Roberto Real
Gutierrez-Gutierrez, Elizabeth
Pham, Phong
Holland, Zac
Livingston, Amanda
Castrellon, Lily
Graham, Summer
Rubin, Shanon J.
Ashleya, Aaron
Battaglia, Dillon
Lopez, Daniel
Salwa, Maya
contents One key piece of evidence for dark matter is the flat rotation curve problem: the disagreement between measured galactic rotation curves and their luminous mass. A novel solution to this problem is presented here. A model of relativistic frame effects on Doppler shifts due to the slightly curved frames of an emitting galaxy and the Milky Way is derived. This model predicts observed Doppler shifted spectra (in excess of the luminous mass) based only on the observed luminous matter profile and one free model parameter. Fits to the 175 galaxies reported in the SPARC database of galactic rotation profiles and accurate photometry measurements are compared between this novel model and dark matter and MOND (RAR) models. We find on the SPARC sample of 175 galaxies; that MOND-RAR has an average reduced chisquare of $χ^2_r = 4.22$ for 175 galaxies fitted, the isothermal dark matter model has $χ^2_r = 1.90$ for 165 galaxies fitted, and the new model we present has $χ^2_r = 2.39$ for 172 galaxies fitted. Implications of this model are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2310_04372
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Rotation Curve Fitting Model
Cisneros, Sophia Natalia
Ott, Richard
Crowley, Meagan
Roberts, Amy
Paz, Marcus
Brown, Zaneeyiah
Joyal, Landon
Rico, Roberto Real
Gutierrez-Gutierrez, Elizabeth
Pham, Phong
Holland, Zac
Livingston, Amanda
Castrellon, Lily
Graham, Summer
Rubin, Shanon J.
Ashleya, Aaron
Battaglia, Dillon
Lopez, Daniel
Salwa, Maya
Astrophysics of Galaxies
General Relativity and Quantum Cosmology
One key piece of evidence for dark matter is the flat rotation curve problem: the disagreement between measured galactic rotation curves and their luminous mass. A novel solution to this problem is presented here. A model of relativistic frame effects on Doppler shifts due to the slightly curved frames of an emitting galaxy and the Milky Way is derived. This model predicts observed Doppler shifted spectra (in excess of the luminous mass) based only on the observed luminous matter profile and one free model parameter. Fits to the 175 galaxies reported in the SPARC database of galactic rotation profiles and accurate photometry measurements are compared between this novel model and dark matter and MOND (RAR) models. We find on the SPARC sample of 175 galaxies; that MOND-RAR has an average reduced chisquare of $χ^2_r = 4.22$ for 175 galaxies fitted, the isothermal dark matter model has $χ^2_r = 1.90$ for 165 galaxies fitted, and the new model we present has $χ^2_r = 2.39$ for 172 galaxies fitted. Implications of this model are discussed.
title Rotation Curve Fitting Model
topic Astrophysics of Galaxies
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2310.04372