| Abstract: | 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). |
