Fundamentals of Stars: A Critical Look at Mass-Luminosity Relations and Beyond

Year 2024, Volume: 2 Issue: 1, 41 - 57, 11.06.2024

Zeki Eker Faruk Soydugan Selçuk Bilir

https://doi.org/10.26650/PAR.2024.00001

Abstract

Developments on various relations among stellar variables such as the main sequence empirical mass-luminosity (MLR), massradius (MRR) and mass-effective temperature (MTR) relations were reviewed. Conceptual changes in their understanding and usages were discussed. After its discovery, MLR was treated as one of the fundamental secrets of the cosmos. Differences between fundamental laws and statistical relations were used to understand long-term developments of MLR, MRR and MTR. Developments show a break point, initiated by Andersen (1991), in the line of progress. Before the break when reliable data were limited, MLR and MRR were calibrated using M, L, and R of binary components of all kinds visual, spectroscopic, and eclipsing for two purposes: i) to obtain mean mass, mean luminosity, and mean radius, ii) to estimate M and R of single stars. By the time of the break, the number of solutions from detached double-lined eclipsing binaries (DDEB) giving accurate M and R within a few percent levels are increased. Parameters from very close, semi-detached, and contact binaries were excluded for refinement, however, MLR and MRR diagrams were found insufficient to derive MLR and MRR functions because the dispersions are not only due to random observational errors but also due to chemical composition and age differences. Then, a new trend was adopted by replacing classical MLR and MRR with empirical M and R predicting relations. Thus, the purpose one was suppressed also because the new trend found a fruitful application in determining M and R of exoplanet hosting single stars.

Keywords

Stars: fundamental parameters, Stars: luminosity and mass functions, Galaxies: luminosity function and mass functions, Cosmology: miscellaneous

References

• Akbulut B., Ak S., Yontan T., Bilir S., Ak T., Banks T., Ulgen E. K., Paunzen E., 2021, Ap&SS, 366, 68 google scholar
• Albert A., et al., 2021, ApJ, 912, L4 google scholar
• Aller A., Lillo-Box J., Jones D., Miranda L. F., Barcelo Forteza S., 2020, A&A, 635, A128 google scholar
• Andersen J., 1991, A&ARv, 3, 91 google scholar
• Arora U., Hasegawa Y., 2021, ApJ, 915, L21 google scholar
• Bahcall J. N., 2000, J. R. Astron. Soc. Canada, 94, 219 google scholar
• Bakış V., Eker Z., 2022, Acta Astron., 72, 195 google scholar
• Baraffe I., Homeier D., Allard F., Chabrier G., 2015, A&A, 577, A42 google scholar
• Batten A. H., 1967, Publications of the Dominion Astrophysical Ob-servatory Victoria, 13, 119 google scholar
• Baxter E. J., Blake C. H., Jain B., 2018, AJ, 156, 243 google scholar
• Bellinger E. P., Hekker S., Angelou G. C., Stokholm A., Basu S., 2019, A&A, 622, A130 google scholar
• Benedict G. F., et al., 2016, AJ, 152, 141 google scholar
• Berger T. A., Huber D., Gaidos E., van Saders J. L., Weiss L. M., 2020, AJ, 160, 108 google scholar
• Bethe H. A., 1939, Physical Review, 55, 434 google scholar
• Bressan A., Marigo P., Girardi L., Salasnich B., Dal Cero C., Rubele google scholar
• S., Nanni A., 2012, MNRAS, 427, 127 google scholar
• Burt J., et al., 2021, AJ, 161, 10 google scholar
• Caballero J. A., et al., 2022, A&A, 665, A120 google scholar
• Cester B., Ferluga S., Boehm C., 1983, Ap&SS, 96, 125 google scholar
• Chadwick J., 1933, Proceedings of the Royal Society of London Series A, 142, 1 google scholar
• Chevalier S., Babusiaux C., Merle T., Arenou F., 2023, A&A, 678, A19 google scholar
• Clayton D. D., 1968, Principles of stellar evolution and nucleosynthe-sis google scholar
• Cox A. N., 2000, Allen’s astrophysical quantities google scholar
• Daszynska-Daszkiewicz J., Miszuda A., 2019, ApJ, 886, 35 google scholar
• Dattilo A., Batalha N. M., Bryson S., 2023, AJ, 166, 122 google scholar
• Demarque P., Gisler G. R., 1975, A&AS, 20, 237 google scholar
• Demircan O., Kahraman G., 1991, Ap&SS, 181, 313 google scholar
• Dotter A., 2016, ApJS, 222, 8 google scholar
• Eddington A. S., 1926, The Internal Constitution of the Stars google scholar
• Eggen O. J., 1956, AJ, 61, 361 google scholar
• Eker Z., 1999, New Astron., 4, 365 google scholar
• Eker Z., Bakış V., 2023, MNRAS, 523, 2440 google scholar
• Eker Z., Bilir S., Soydugan F., Gökçe E. Y., Soydugan E., Tüysüz M., Şenyüz T., Demircan O., 2014, Publ. Astron. Soc. Australia, 31, e024 google scholar
• Eker Z., et al., 2015, AJ, 149, 131 google scholar
• Eker Z., et al., 2018, MNRAS, 479, 5491 google scholar
• Eker Z., et al., 2020, MNRAS, 496, 3887 google scholar
• Eker Z., Soydugan F., Bilir S., Bakış V., 2021a, Galactic Astronomy Workshop Proceedings Book, 1, 51 google scholar
• Eker Z., Bakış V., Soydugan F., Bilir S., 2021b, MNRAS, 503, 4231 google scholar
• Eker Z., Soydugan F., Bilir S., Bakış V., 2021c, MNRAS, 507, 3583 google scholar
• Fernandes J., Gafeira R., Andersen J., 2021, A&A, 647, A90 google scholar
• Flower P. J., 1996, ApJ, 469, 355 google scholar
• Gabovits J., 1938, Publications of the Tartu Astrofizica Observatory, 30, A3 google scholar
• Gafeira R., Patacas C., Fernandes J., 2012, Ap&SS, 341, 405 google scholar
• Garani R., Palomares-Ruiz S., 2022, J. Cosmology Astropart. Phys., 2022, 042 google scholar
• Gaulme P., et al., 2016, ApJ, 832, 121 google scholar
• Gimenez A., Zamorano J., 1985, Ap&SS, 114, 259 google scholar
• Gomel R., Faigler S., Mazeh T., 2021a, MNRAS, 504, 2115 google scholar
• Gomel R., Faigler S., Mazeh T., Pawlak M., 2021b, MNRAS, 504, 5907 google scholar
• Gorda S. Y., Svechnikov M. A., 1998, Astronomy Reports, 42, 793 google scholar
• Griffiths S. C., Hicks R. B., Milone E. F., 1988, J. R. Astron. Soc. Canada, 82, 1 google scholar
• Habets G. M. H. J., Heintze J. R. W., 1981, A&AS, 46, 193 google scholar
• Harmanec P., 1988, Bulletin of the Astronomical Institutes of Czechoslovakia, 39, 329 google scholar
• Henry T. J., 2004, in Hilditch R. W., Hensberge H., Pavlovski K., eds, Astronomical Society of the Pacific Conference Series Vol. 318, Spectroscopically and Spatially Resolving the Components of the Close Binary Stars. pp 159-165 google scholar
• Henry T. J., McCarthy Donald W. J., 1993, AJ, 106, 773 google scholar
• Hertzsprung E., 1923, Bull. Astron. Inst. Netherlands, 2, 15 google scholar
• Hoxie D. T., 1973, A&A, 26, 437 google scholar
• Huang S. S., Struve O., 1956, AJ, 61, 300 google scholar
• Ibanoglu C., Soydugan F., Soydugan E., Dervişoglu A., 2006, MN-RAS, 373, 435 google scholar
• Iben Icko J., 1967, ARA&A, 5, 571 google scholar
• Ilin E., Schmidt S. J., Poppenhager K., Davenport J. R. A., Kristiansen M. H., Omohundro M., 2021, A&A, 645, A42 google scholar
• Karetnikov V. G., 1991, Azh, 68, 880 google scholar
• Kerins E., 2021, AJ, 161, 39 google scholar
• Kerins E., et al., 2023, arXiv e-prints, p. arXiv:2306.10202 google scholar
• Koch R. H., Plavec M., Wood F. B., 1970, A catalogue of graded photometric studies of close binaries google scholar
• Kopal Z., 1959, Close binary systems google scholar
• Kopal Z., 1978, Dynamics of close binary systems, doi:10.1007/978-94-009-9780-6. google scholar
• Kopal Z., Shapley M. B., 1956, Jodrell Bank Ann., 1, 139 google scholar
• Kuiper G. P., 1938, ApJ, 88, 472 google scholar
• Lacy C. H., 1977, ApJS, 34, 479 google scholar
• Lacy C. H., 1979, ApJ, 228, 817 google scholar
• Lalremruati P. C., Kalita S., 2021, MNRAS, 502, 3761 google scholar
• Malkov O. Y., 2003, A&A, 402, 1055 google scholar
• Malkov O. Y., 2007, MNRAS, 382, 1073 google scholar
• Malkov O., Kovaleva D., Zhukov A., Dluzhnevskaya O., 2022, Ap&SS, 367, 37 google scholar
• McCluskey George E. J., Kondo Y., 1972, Ap&SS, 17, 134 google scholar
• McCrea W. H., 1950, Physics of the sun and stars. google scholar
• McLaughlin D. B., 1927, AJ, 38, 21 google scholar
• Moya A., Zuccarino F., Chaplin W. J., Davies G. R., 2018, ApJS, 237, 21 google scholar
• Munday J., et al., 2020, MNRAS, 498, 6005 google scholar
• Paczynski B., 1970, Acta Astron., 20, 47 google scholar
• Patterson J., 1984, ApJS, 54, 443 google scholar
• Peled G., Volansky T., 2022, arXiv e-prints, p. arXiv:2203.09522 google scholar
• Petrie R. M., 1950a, Publications of the Dominion Astrophysical Ob-servatory Victoria, 8, 341 google scholar
• Petrie R. M., 1950b, AJ, 55, 180 google scholar
• Pietroni S., Bozza V., 2022, J. Cosmology Astropart. Phys., 2022, 018 google scholar
• Plaut L., 1953, Publications of the Kapteyn Astronomical Laboratory Groningen, 55, 1 google scholar
• Popovici C., Dumitrescu A., 1974, in Mavridis L. N., ed., Stars and the Milky Way System. p. 169 google scholar
• Popper D. M., 1980, ARA&A, 18, 115 google scholar
• Ramesh R., Meena A. K., Bagla J. S., 2022, Journal of Astrophysics and Astronomy, 43, 5 google scholar
• Russell H. N., Adams W. S., Joy A. H., 1923, PASP, 35, 189 google scholar
• Schrijver K., et al., 2019, arXiv e-prints, p. arXiv:1910.14022 google scholar
• Serenelli A., et al., 2021, A&ARv, 29, 4 google scholar
• Stassun K. G., Collins K. A., Gaudi B. S., 2017, AJ, 153, 136 google scholar
• Stassun K. G., Corsaro E., Pepper J. A., Gaudi B. S., 2018, AJ, 155, 22 google scholar
• Stothers R., 1974, ApJ, 194, 651 google scholar
• Strand K. A., Hall R. G., 1954, ApJ, 120, 322 google scholar
• Torres G., Andersen J., Gimenez A., 2010, A&ARv, 18, 67 google scholar
• WysoczanskaR., DybczynskiP. A., KrolikowskaM., 2020a, MNRAS, 491, 2119 google scholar
• Wysoczanska R., Dybczynski P. A., Polinska M., 2020b, A&A, 640, A129 google scholar
• Xia F., Fu Y.-N., 2010, Chinese Astron. Astrophys., 34, 277 google scholar
• Yontan T., 2023, AJ, 165, 79 google scholar
• Yontan T., et al., 2021, Astronomische Nachrichten, 342, 538 google scholar
• Yontan T., Bilir S., Çakmak H., Michel R., Banks T., Soydugan E., Canbay R., Taşdemir S., 2023, Advances in Space Research, 72, 1454 google scholar
• Yuan H., et al., 2022, ApJ, 940, 165 google scholar