In binary stars, the orbital period depends on the masses of the stars and the sizes of the orbits, because this is the main way we determine the masses of stars.
What is a Binary Star?
A Binary Star is a system of two stars that are bound gravitationally and orbit each other. Binary stars are often seen by telescope as separate stars.
Therefore, Massive stars exert a stronger gravitational attraction on each other, creating smaller orbits with shorter orbital periods, this is why the orbital period of a binary star depends on the masses of the stars.
Does orbit size affect orbit period?
Slower orbital speed and a larger orbit mean that its orbital period must be longer.
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