The absolute bolometric magnitude for the progenitor of SN...

The absolute bolometric magnitude for the progenitor of SN 1987A was estimated in Ref. [27] to be -7.8 . Spectroscopically it was a luminous B3 supergiant with an estimated surface temperature of 16 , $000 \mathrm{~K}$. What was its luminosity and radius?

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Key Concepts

Effective Temperature

The effective temperature of a star, defined as the temperature of a black body that would emit the same total amount of electromagnetic radiation, plays a crucial role in determining the star’s spectral characteristics and its placement on the Hertzsprung-Russell diagram. It is a key input in calculations concerning stellar radii and luminosities.

Stefan-Boltzmann Law

This fundamental law in physics relates the luminosity of a star to its radius and effective temperature through the equation L = 4?R²?T?, where ? is the Stefan-Boltzmann constant. It is essential for determining a star’s radius given its luminosity and temperature, linking thermal radiation with size.

Absolute Bolometric Magnitude

This concept refers to a measure of an object's total energy output across all wavelengths as observed from a standardized distance. It is a key tool in astrophysics for comparing intrinsic brightness and is related to the total luminosity of the star.

Luminosity-Magnitude Relationship

This concept describes the mathematical relationship between the absolute magnitude of a star and its luminosity. Using a well-known reference such as the Sun’s absolute bolometric magnitude, one can convert a given absolute magnitude to a luminosity, thereby quantifying the star’s total energy output relative to standard units.

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