On the core-mass-shell-luminosity relation for shell-burning stars

Statistics – Computation

Scientific paper

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Computational Astrophysics, Nuclear Astrophysics, Shell Stars, Stellar Cores, Stellar Luminosity, Stellar Mass, Differential Equations, Helium, Mass To Light Ratios

Scientific paper

Core-mass-shell-luminosity relations for several types of shell-burning star have been calculated using simultaneous differential equations derived from simple homology approximations. The principal objective of obtaining a mass-luminosity relation for helium giants was achieved. This relation gives substantially higher luminosities than the equivalent relation for H-shell stars with core masses greater than 1 solar mass. The behavior of the core-mass-core-radius relation for a growing rate degenerate core as a single unique function of mass and growth rate needs to be defined before a single core-mass-shell-luminosity relation for all H-shell stars can be obtained directly from the homology approximations.

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