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The moon doesn't wobble, if you refer to the movement commonly called 'libration'. That is an apparent motion only, and not a true motion of the moon. There is both east/west libration and north/south libration, and they are independent of one another. Mars is not pushing the moon closer to earth. On average, the moon is very slowly moving farther and farther from the earth, not closer.

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Q: Is the Moon's orbital wobble changing from east west to north south and what will the effect be on Earth with Mars moving closer to the moon and is it pushing the moon closer to Earth?
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