A small contribution to the giant problem

Details A small contribution to the giant problem A small contribution to the giant problem

Aug 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998mnras.298..831e&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 298, Issue 3, pp. 831-834.

Astronomy and Astrophysics

Astronomy

3

Stars: Agb And Post-Agb

Scientific paper

We present a simple analytic model of a composite polytropic star, which exhibits a limiting Schönberg-Chandrasekhar core mass fraction strongly analogous to the classic numerical result for an isothermal core, a radiative envelope and a μ-jump (i.e. a molecular weight jump) at the interface. Our model consists of an nc=5 core, an ne=1 envelope and a μ-jump by a factor >=3 the core mass fraction cannot exceed 2/π. We use the classic UV plane to show that composite models will exhibit a Schönberg-Chandrasekhar limit only if the core is `soft', i.e. has nc>=5, and the envelope is `hard', i.e. has ne<5 in the critical case (nc=5), the limit only exists if the μ-jump is sufficiently large, >=6/(ne+1).

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