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Since Jupiter is always (I think) further from us than we are to the sun and it is very much smaller than the sun the gravity pull must be much less. So remove the sun and the earth will basically go on a straight line heading out of the solar system, as would all the other planets. It would then depend on their relative positions for what else would happen. We could even finish up with the earth and Venus circling each other, although that is highly unlikely.
Since Jupiter is always (I think) further from us than we are to the sun and it is very much smaller than the sun the gravity pull must be much less. So remove the sun and the earth will basically go on a straight line heading out of the solar system, as would all the other planets. It would then depend on their relative positions for what else would happen.
We could even finish up with the earth and Venus circling each other, although that is highly unlikely.