The inverse problem of the theory of degenerate dwarfs

Based on the radii and masses of degenerate dwarfs derived from HIPPARCOS and other observations, we estimate the microscopic parameters of a Chandrasekhar model (the relativistic parameter at the stellar center x 0 , and the chemical-composition parameter µ e = A/Z , where A is the mass number and...

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Bibliographic Details
Published in:Astronomy reports 2011-06, Vol.55 (6), p.505-524
Main Authors: Vavrukh, M. V., Smerechynskyi, S. V., Tyshko, N. L.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics
Dwarf stars
Earth, ocean, space
Exact sciences and technology
Mathematical models
Observations and Techniques
Physics
Physics and Astronomy
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Summary:Based on the radii and masses of degenerate dwarfs derived from HIPPARCOS and other observations, we estimate the microscopic parameters of a Chandrasekhar model (the relativistic parameter at the stellar center x 0 , and the chemical-composition parameter µ e = A/Z , where A is the mass number and Z is the nuclear charge). We have obtained analytical expressions for the macroscopic characteristics (mass, radius, energy) as functions of x 0 and µ e . From the calculated dependence of the energy on these parameters, we have found constraints on the range of variability of x 0 , which are in good agreement with the observed radius distribution of dwarfs. The critical value of x 0 at which stability breaks down due to general-relativisitc effects is found more accurately than previously. We propose a generalized model with an inhomogeneous (coordinate-dependent) chemical composition, with µ e = µ e ( r ).
ISSN:1063-7729
1562-6881
DOI:10.1134/S1063772911060084