The Moon orbits Earth while Earth orbits the Sun, and thus the Moon's motion around the Sun

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The Moon orbits Earth while Earth orbits the Sun, and thus the Moon's motion around the Sun is the combination of those two motions. Is the Moon's motion ever retrograde if observed from the Sun, where retrograde means that the Moon appears to move in the direction opposite the direction of Earth's motion relative to the distant stars? (You need to look up values for the Earth-Sun distance and the Earth-Moon distance to answer this question.)

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