The relationship between the shape of SPARC rotation curves to the galactic mass model: a chi-square test of independence

Haethaisong W, Duangchan C, Wechakama M (2023)


Publication Type: Conference contribution

Publication year: 2023

Publisher: Institute of Physics

Book Volume: 2653

Conference Proceedings Title: Journal of Physics: Conference Series

Event location: Chiang Mai TH

DOI: 10.1088/1742-6596/2653/1/012023

Abstract

Rotation curves of galaxies are strongly related to dark matter and baryonic matter. The gravitational attraction of baryonic matter, e.g., stars and gas, is the dominant force in the inner regions of galaxies, and its distribution determines the shape of the inner rotation curve. In contrast, the outer regions of galaxies are dominated by the gravitational force of dark matter, which is thought to be distributed in a spherical halo around a galaxy. Since the ratio of rotational speed in the inner regions and maximum rotational speed (ηrot) is related to the shape of the galaxy rotation curve, it might be a significant association between this ratio and each combination of matters, or the mass models. Specifically, for dark matter, we assume the Navarro-Frenk-White (NFW) profile. This study explores the use of SPARC data (Spitzer Photometry and Accurate Rotation Curves) and categorizes shapes of galaxy rotation curves according to ηrot. For mass models, we classify galaxies by considering the reduced chi-square of the best-fit parameter of each model. To determine whether there is a significant association between ηrot and the mass models, we utilize the chi-square test of independence. The study suggests with a 95% confidence level that there is no relation between the mass models and ηrot.

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How to cite

APA:

Haethaisong, W., Duangchan, C., & Wechakama, M. (2023). The relationship between the shape of SPARC rotation curves to the galactic mass model: a chi-square test of independence. In Yongyut Laosiritaworn, S. Choopan, Dheerawan Boonyawan, Suparerk Aukkaravittayapun, Suparerk Aukkaravittayapun, J. Tawkomnoy, B. Soonthornthum, B. Soonthornthum (Eds.), Journal of Physics: Conference Series. Chiang Mai, TH: Institute of Physics.

MLA:

Haethaisong, Waeowan, Chaimongkol Duangchan, and Maneenate Wechakama. "The relationship between the shape of SPARC rotation curves to the galactic mass model: a chi-square test of independence." Proceedings of the 18th Siam Physics Congress, SPC 2023, Chiang Mai Ed. Yongyut Laosiritaworn, S. Choopan, Dheerawan Boonyawan, Suparerk Aukkaravittayapun, Suparerk Aukkaravittayapun, J. Tawkomnoy, B. Soonthornthum, B. Soonthornthum, Institute of Physics, 2023.

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