The relationship between stellar luminosity, stellar temperature, and stellar radius plays a critical role in comprehending the stellar structure and evolution. In this work, the empirical investigation of stellar luminosity scaling was carried out through the analysis of the stellar catalog data to validate the Stefan-Boltzmann Law. The analysis was carried out to understand the relationship between stellar luminosity and stellar temperature as well as the combined parameter R2T4, which theoretically controls the radiative output of the stars. The analysis was carried out through the log-log regression analysis to understand the conformity between the theoretical predictions and the empirical data. The log-log regression analysis between the stellar luminosity and the combined parameter R2T4 resulted in a slope of approximately 0.96, which closely matches the theoretical value. Moreover, the comparison between the observed and predicted luminosity values provided a coefficient of determination equal to R2 = 0.92, which shows a high degree of agreement between the theoretical model and observational data. In addition to that, the stellar distribution was examined based on the Hertzsprung - Russell diagram, which shows specific areas that represent the population of main sequence stars, giants, and white dwarfs. Residual analysis based on stellar types shows differences in the accuracy of the theoretical relation during different evolutionary stages.
- Carroll, B. W., & Ostlie, D. A. (2017). An Introduction to Modern Astrophysics (2nd ed.). Cambridge University Press.
- Hansen, C. J., Kawaler, S. D., & Trimble, V. (2004). Stellar Interiors: Physical Principles, Structure, and Evolution. Springer.
- Salaris, M., & Cassisi, S. (2005). Evolution of Stars and Stellar Populations. Wiley.
- Casagrande, L., Ramírez, I., Meléndez, J., Bessell, M., & Asplund, M. (2010)
An absolutely calibrated effective temperature scale from the Infrared Flux Method.
Astronomy & Astrophysics / Monthly Notices of the Royal Astronomical Society. 512, 22doi:1051/0004-6361/200913204
- Mann, A. W., Feiden, G. A., Gaidos, E., Boyajian, T., & von Braun, K. (2015)
How to Constrain Your M Dwarf: Measuring Effective Temperature, Bolometric Luminosity, Mass, and Radius. The Astrophysical Journal. 804 (1), 38 1088/0004-637X/804/1/64
- Eker, Z., et al. (2015) Main-Sequence Effective Temperatures from a Revised Mass–Luminosity Relation Based on Accurate Stellar Properties. Astronomical Journal / Astrophysical Journal Supplement Series 149 (4)16 doi:1088/0004-6256/149/4/131
- Leonid M. Martyushev, Sergey N. Zubarev (2019), Entropy production and luminosity–effective temperature relation for main-sequence stars, Physica A: Statistical Mechanics and its Applications, 528, 121403. https://doi.org/10.1016/j.physa.2019.121403
- Herczeg, G. J., & Hillenbrand, L. A. (2014), An Optical Spectroscopic Study of T Tauri Stars: Photospheric Properties, The Astrophysical Journal 786 (2) 32doi:1088/0004-637X/786/2/97
- Stellar Classification Dataset (SDSS17). Available at: https://www.kaggle.com
- Ivezić, Ž. Connolly, A., VanderPlas, J., & Gray, A. (2014). Statistics, Data Mining, and Machine Learning in Astronomy. Princeton University Press.
- Hillenbrand, L., Bauermeister, A., & White, R.J. (2007). An assessment of HR diagram constraints on ages and age spreads in star-forming regions and young clusters. Cool Stars, Stellar Systems, and the Sun XIV, ASP Conference Series, Vol. XX, https://api.semanticscholar.org/CorpusID:13412407
- Boyajian, H. Mcalister, G. V. Belle, D. Gies, Theo., A. T. Brummelaar, K. V. Braun, C. Farrington, P. J. Goldfinger, David, O’Brien, J. Parks, N. Richardson, S. Ridgway, G. Schaefer, L. Sturmann, J. Sturmann, Y. Touhami, N. Turner, Russel J. White (2012) STELLAR DIAMETERS AND TEMPERATURES. I. MAIN-SEQUENCE A, F, AND G STARS, The Astrophysical Journal, 746 (101) 26 doi:10.1088/0004-637X/746/1/101
- Massey, P. Massey, J. Puls, A. Pauldrach, F. Bresolin, R. Kudritzki, T. Simon (2005) The Physical Properties and Effective Temperature Scale of O-Type Stars as a Function of Metallicity. II. Analysis of 20 More Magellanic Cloud Stars and Results from the Complete Sample, The Astrophysical Journal, 627:477–519, https://doi.org/10.1086/430417
- Greenstein (1985) THE WHITE-DWARF COLOR-LUMINOSITY RELATION AND ITS INTRINSIC WIDTH, Publications of the Astronomical Society of the Pacific 97:827-834, https://doi.org/10.1086/131609.
