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Guys that's pretty good thinking. I could keep hinting but maybe its better to inform.
From a Newtonian point of view the system is unchanged. Both bodies have no net change on the other as determined above.
But we don't live in a Newtonian world...
The system has lost rest mass, so the systems gravity well has diminished. So whilst the planets motion through spacetime doesn't change the curvature of spacetime itself does change under relativity when mass or energy is suddenly lost!
So you would see within this frame of reference the orbit slightly, but discernible change (expand and become more eccentric).
So whilst Kepler and Newton where giants, Einstein does come into play in some cosmic games!
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