Thank you Halc.Gravity doesn't die. The mass of the burned out star is still there, even if the fuel is expended. Everything gets cold, but the orbital mechanics is little changed. If the one star was really big, it might die in sufficient splendor that some of the planets might not survive, or sufficient mass is expelled in the supernova that the planets might be thrown elsewhere. Probably they'll just move to higher orbits.
This brings up another question I have regarding Binary Solar Systems:
If one star within a binary solar system should die and ( if both stars had their own planets revolving), would it be possible for the remaining planets of the dead star to be incorporated into the system of the remaining star, should that star be close enough to attract these planets into it's gravitational pull? Therefore adding new planets into the now singular System?
In our own solar system, the inner 3 planets will not survive the final phases of the star burning out, but the rest will still be there, and that would be true even if there was some 2nd sister star way out there still burning.
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