What two physical properties mathematically determine a star's total energy broadcast, known as luminosity?
Answer
Its physical diameter (radius) and its surface temperature
Luminosity represents the total radiant power output of a star and is an intrinsic property independent of the observer's location. This total energy output is mathematically dependent on two key stellar measurements: the star's physical size, expressed by its radius or diameter, and its surface temperature. A star achieves high luminosity either by being extremely hot, having a large radiating surface area, or both. Therefore, a large star that is only moderately cool can still outshine a smaller, hotter star because its vastly greater surface area emits more total energy.

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