The Inverse Problem of Statistical Determination of the Total Number, Luminosity Function, and Brightness Variability Characteristics of T Tau Type Stars in Stellar Aggregates
- 10 Downloads
Based on four observations of a stellar aggregate which are fairly widely separated in time, the possibility of estimating the total number of irregularly variable stars in it is demonstrated. The inverse problem of recovering the luminosity function of the stellar aggregate from the averaged brightnesses of its members is formulated. The problem of finding the brightness distribution function is examined under the assumption that the variabilities of the stars are a stationary random process. Detailed photometric data on the stars in two “pictures” of the aggregate which are fairly widely separated in time are used as initial information.
Keywordsinverse problem stellar aggregates statistics irregularly variable stars T Tau type stars
Unable to display preview. Download preview PDF.
- 1.V. A. Ambartsumyan, in: Stars, Nebulae, Galaxies, Proceedings of a Symposium devoted to the 60-th Birthday of Academician V. A. Ambartsumyan (Byurakan, Sept. 16-19, 1968), Izd. AN ArmSSR, Erevan, pp. 283-292 (1969).Google Scholar
- 4.F. I. Lukatskaya, Variations in the Brightness and Color of Nonstationary Stars [in Russian], Naukova Dumka, Kiev (1977).Google Scholar
- 5.K. Gofmeister, R. Rikhter, and V. Ventsel’, Variable Stars [in Russian], Nauka, Moscow (1990).Google Scholar
- 6.P. N. Kholopov, Star Clusters [in Russian], Nauka, Moscow (1981).Google Scholar
- 7.L. V. Mirzoyan, Nonstationarity and the Evolution of Stars [in Russian], Izd. AN ArmSSR, Erevan (1981).Google Scholar
- 8.G. A. Gurzadyan, Stellar Flares [in Russian], Nauka, Moscow (1985).Google Scholar
- 9.H. V. Pikichyan, On a probabilistic picture, on the possibility of estimating the total number, and on the luminosity function of T Tau stars in stellar aggregates, Diploma thesis, EGU, Erevan (1972), 30 pp.Google Scholar
- 10.R. S. McCrea and B. J. T. Morgan, Analysis of Capture-Recapture Data, (Chapman & Hall/CRC, Interdisciplinary Statistics Series) CRC Press Taylor & Francis Group (2015), 302 pp.Google Scholar
- 11.Dankmar Böhning, Peter G. M. van der Heijden, and John Bunge, eds., Capture-Recapture Methods for the Social and Medical Sciences, (Chapman & Hall/CRC Interdisciplinary Statistics Series), CRC Press Taylor & Francis Group (2018), 465 pp.Google Scholar
- 12.A. F. Verlan and V. S. Sizikov, Handbook of Integral Equations: Methods, Algorithms, Programs (A Handbook) [in Russian], Naukova Dumka, Kiev (1986), 544 pp.Google Scholar