A double polytropic model for low-mass stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Polytropic Processes, Stellar Cores, Stellar Envelopes, Stellar Models, Main Sequence Stars, Stellar Luminosity, Stellar Mass, Stellar Structure

Scientific paper

A double polytropic model is presented for the low-mass stars of less than 1 solar mass. The essential novelty of the present approach is the description of the convective envelope, which is taken as an n = 1 polytrope. This feature allows the construction of a simple analytic model for low-mass stars with radiative cores and convective envelopes. Comparisons between the n = 3 (core), n = 1 (envelope) composite polytrope, single n = 3 and n = 1.5 polytropes, and detailed numerical calculations show that the composite model offers a surprisingly accurate description of the stars in the mass range 0.4 to 0.8 solar masses.

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