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You might contrast objects in open orbit with those in closed orbit such as the Earth. Up to an approximation, and relative to the Sun, when the Earth completes an orbit around the Sun it returns to the same place in space. Thus it can be said to 'close' its orbit. Objects that do not return to the same point in space are said to be in open orbit. They might be following parabolic or hyperbolic paths, or some other more complicated locuses of points.

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