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The orbit of Neptune around the sun is about 164.79 earth years.

The wording of the question might simply be an error; planetary orbits around the sun are almost always the orbits of interest. But in fact Neptune does orbit the earth, if there is no requirement that an orbit has to directly involve the gravitational force between the two bodies involved. Whenever Neptune completes an orbit around the sun, it has effectively orbited all the other planets closer to the sun than it is. You could make the length of this event a little more accurate if you start and end with the same phases of Neptune from earth's perspective that give a total time closest to Neptune's orbital period. So Neptune's orbit of earth will be an exact multiple of Neptune's synodic period relative to earth, which is 367.49 days.

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13y ago

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