Largest stable object in "daily" orbit

However, I would like some natural method of measuring out a "day-like" period of time.

Could an object with an orbital period of around 24 hours be large enough to show up as a "moon"? I'd like it to be large enough to pass in front of the sun and cause at least a partial eclipse every pass.

If an earth-size planet makes this too problematical, a larger planet may work better.

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Largest stable object in "daily" orbit

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