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Please use this identifier to cite or link to this item: https://oldena.lpnu.ua/handle/ntb/41466
Title: The influence of the axial rotation on the degenerate dwarfs characteristics
Other Titles: Вплив осьового обертання на характеристики вироджених карликів
Authors: Ваврух, М.
Смеречинський, С.
Дзіковський, Д.
Vavrukh, M.
Smerechynskyi, S.
Dzikovskyi, D.
Affiliation: Львiвський національний університет імені Івана Франка
Ivan Franko National University of Lviv
Bibliographic description (Ukraine): Vavrukh M. The influence of the axial rotation on the degenerate dwarfs characteristics / M. Vavrukh, S. Smerechynskyi, D. Dzikovskyi // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2017. — Vol 4. — No 1. — P. 107–115.
Bibliographic description (International): Vavrukh M. The influence of the axial rotation on the degenerate dwarfs characteristics / M. Vavrukh, S. Smerechynskyi, D. Dzikovskyi // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2017. — Vol 4. — No 1. — P. 107–115.
Is part of: Mathematical Modeling and Computing, 1 (4), 2017
Issue: 1
Volume: 4
Issue Date: 15-Jun-2017
Publisher: Lviv Politechnic Publishing House
Place of the edition/event: Lviv
UDC: 524.31.084
524.384
524.352.3
Keywords: вироджений карлик
густина у центрі зорі
параметр хімічного складу
частота обертання
ступінь поляризації
degenerate dwarf
the density in the stellar center
the chemical composition parameter
the rotation frequency
the degree of polarization
Number of pages: 9
Page range: 107-115
Start page: 107
End page: 115
Abstract: Розраховано змiну характеристик холодних вироджених карликiв пiд впливом осьо- вого обертання у межах три- та чотирипараметричної моделей. Показано, що вiд- носне збiльшення маси карлика становить приблизно 5%. Тому максимальна маса у стандартнiй моделi з парамагнiтною електронною пiдсистемою досягає 1.52M⊙, а в моделi зi спiн-поляризованою електронною пiдсистемою 2.15M⊙. Знайдено за- лежнiсть форми карлика вiд параметрiв моделей (густини у центрi зорi, параметра хiмiчного складу, частоти обертання i ступеня поляризацiї).
The influence of the axial rotation on degenerate dwarfs characteristics is calculated within the three- and four parametric model. It was shown that the relative increase of dwarf’s mass is about 5%. Therefore the maximal mass in standard model with paramagnetic electron subsystem reaches 1.52M⊙, and in the model with spin-polarized electron subsystem is 2.15M⊙. The dependence of the dwarf’s shape was found as a function of the model parameters (the density in the stellar center, the chemical composition parameter, the rotation frequency and the degree of polarization).
URI: https://ena.lpnu.ua/handle/ntb/41466
ISSN: 2312-9794
Copyright owner: © 2017 Lviv Polytechnic National University CMM IAPMM NASU
References (Ukraine): [1] AdamsW. S. The spectrum of the companion of Sirius. PASP. 27, 236 (1915).
[2] FowlerR.H. On dense matter. MNRAS. 87, 114 (1926).
[3] Chandrasekhar S. The maximum mass of ideal white dwarfs. Astrophys. Journ. 74, 81 (1931).
[4] Chandrasekhar S. Stellar configurations with degenerate cores’ (second paper). MNRAS. 95, 676 (1935).
[5] Salpeter E. Energy and pressure of a zero-temperature plasma. Astrophys. Journ. 134, 669 (1961).
[6] Shapiro S. L. Teukolsky S.A. Black Holes, White Dwarfs and Neutron Stars. Cornell University, Ithaca, New York (1983).
[7] HamadaT., Salpeter E. Models for zero-temperature stars. Europ. Astrophys. J. 133, 683 (1961).
[8] ZeldovichYa.B., Novikov I.D. Relativistic astrophysics. Moscow, Nauka (1967).
[9] VavrukhM.V., Smerechinskii S.V. A finite temperature Chandrasekhar model: determining the parameters and computing the characteristics of degenerate dwarfs. Astronomy Reports. 56, n. 5, 363 (2012).
[10] VavrukhM.V., Smerechinskii S.V. Hot degenerate dwarfs in a two-phase model. Astronomy Reports. 57, n. 2, 913 (2013).
[11] VavrukhM., TyshkoN., Smerechynskyj S. Interparticle interactions, general relativity effects, and critical parameter of white dwarfs. Mathematical Modeling And Computing. 1, n. 2, 264 (2014).
[12] VavrukhM.V., DzikovskyiD.V., TyshkoN. L. Model of degenerate dwarf with spin-polarized electron system. Odessa Astronomical Publications. 28, n. 1, 82 (2015).
References (International): [1] AdamsW. S. The spectrum of the companion of Sirius. PASP. 27, 236 (1915).
[2] FowlerR.H. On dense matter. MNRAS. 87, 114 (1926).
[3] Chandrasekhar S. The maximum mass of ideal white dwarfs. Astrophys. Journ. 74, 81 (1931).
[4] Chandrasekhar S. Stellar configurations with degenerate cores’ (second paper). MNRAS. 95, 676 (1935).
[5] Salpeter E. Energy and pressure of a zero-temperature plasma. Astrophys. Journ. 134, 669 (1961).
[6] Shapiro S. L. Teukolsky S.A. Black Holes, White Dwarfs and Neutron Stars. Cornell University, Ithaca, New York (1983).
[7] HamadaT., Salpeter E. Models for zero-temperature stars. Europ. Astrophys. J. 133, 683 (1961).
[8] ZeldovichYa.B., Novikov I.D. Relativistic astrophysics. Moscow, Nauka (1967).
[9] VavrukhM.V., Smerechinskii S.V. A finite temperature Chandrasekhar model: determining the parameters and computing the characteristics of degenerate dwarfs. Astronomy Reports. 56, n. 5, 363 (2012).
[10] VavrukhM.V., Smerechinskii S.V. Hot degenerate dwarfs in a two-phase model. Astronomy Reports. 57, n. 2, 913 (2013).
[11] VavrukhM., TyshkoN., Smerechynskyj S. Interparticle interactions, general relativity effects, and critical parameter of white dwarfs. Mathematical Modeling And Computing. 1, n. 2, 264 (2014).
[12] VavrukhM.V., DzikovskyiD.V., TyshkoN. L. Model of degenerate dwarf with spin-polarized electron system. Odessa Astronomical Publications. 28, n. 1, 82 (2015).
Content type: Article
Appears in Collections:Mathematical Modeling And Computing. – 2017. – Vol. 4, No. 1

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