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You'll pass through the ship's orbit again and again.

If you pushed in a direction exactly perpendicular to the orbit, you'll reach the ship again. If you pushed somewhat into or against the orbit direction, you will get in front or behind the ship.

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You'd have to have enough oxygen for one [edit: half] orbital period, mind you. The unfortunate astronaut would likely still die.

Ah, yes, thank you. This is the part I didn't take in. You'll return to pass through the orbit, but the ship will most likely not be at the same point.

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