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Compared to its weight on Earth, the ship would be relatively heavier. How much heavier? About 2.7 times as heavy. Although Earth is basically debris in comparison to Jupiter's immense size, the ship's increase in weight would not be as large as expected. This is because Jupiter's density is far lower than Earth's as it's a gas planet.

Interestingly, we gain a ton of benefits from Jupiter's greater gravitational acceleration constant. The Voyager I is the fastest man-made object and that was made possible by gravity assists, first around Jupiter. All current spacecraft that are on a trajectory to leave the solar system are able to leave within a reasonable time mainly due to Jupiter's gravity assists.

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