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Floating Objects Affected by the Moon

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This seems like a pretty simple question, but I haven't been able to find an answer yet. It has to do with gravity, so even though it's not really about special relativity, this seems like the best place to post it.
My question is; if an object were free-floating in perfectly still water, without currents, would it move in a circular patter due to the Moon's gravity? If not; under what conditions, if any, could the Moon's gravity move a solid object?
(p.s. I already know that the Moon moves the Earth's tectonic plates, I was wondering about smaller objects.)

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