How long time would it take for a space hulk to lose orbit?

In the Warhammer 40k universe, there are planets where the population hasn't developed so far and are left in the feudal stage, (or the technology has degenerated so much it is back to the point).

Around one of those feudal planets is a Tempest Class Frigate where some mystical (non essential for the question) circumstances has removed the crew, so it has just continued the orbit.

How much time will it take before the planet gravity pulls the hulk in to the atmosphere?

For all intents and purposes, assume the planet is as near Earth-like as possible and the orbit matches the MIR Space Station [Orbital inclination: 51.6 degrees, Perigee: 354 km, Apogee: 374 km].

Answers with the final result, with the means to carry out calculations are considered, but answers with both the result and formulas are favoured.

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How long time would it take for a space hulk to lose orbit?

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