Is there a relationship between apparent moon size and orbital distance around an earth-analogue?

I would like to give my imaginary earth-analogue planet multiple (natural) moons.

Is the orbital period of such moons at all related to their size (or apparent size)?

In other words, am I free to have a large close-by moon, or a small far-away moon, or anything in between, without it having an effect on orbital period?

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Is there a relationship between apparent moon size and orbital distance around an earth-analogue?

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