The lowest mass that a protostar can have and still become a star (i.e., start thermonuclear reactions in its core) is:

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Quizplus · Accepted Answer

The lowest mass that a protostar can have and still become a star is about 0.08 solar masses, or slightly less than 1/10 of the mass of the Sun (m ε). This is known as the hydrogen-burning limit, as stars below this mass do not have sufficient gravitational pressure and temperature to sustain hydrogen fusion reactions in their cores.

The Lowest Mass That a Protostar Can Have and Still