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It must also be noted that the Earth's orbit is not a circle but an ellipse, and in respect of Kepler's second law, a planet revolves faster when it is close to the star.
So if the Counter-Earth followed the Earth on the same orbit with half a year of delay, it would sometimes be visible from Earth.
Rather, to be hidden from Earth, the Counter-Earth would have an orbit symmetrical to Earth's, not sharing the second focus.

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