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Remember that a comet in orbit around the Sun is actually in freefall around the Sun.
Remember momentum is conserved, but masses of resulting fragments are fairly random.
No. The acceleration due to gravity is what determines the shape of the orbit. Acceleration due to gravity is not dependant upon the mass of the falling object. A basketball, set on the same orbit as Earth, would follow that orbit.
Elliptical orbits are a tad bit different than freefall straight towards a gravitational body. Different masses at the same velocity form different ellipsoid trajectories.
No they didn't, mostly because Jupiter rotates.
Shoemaker-Levy also may make part of the case in a real example. After it broke apart, the pieces didn't all hit in the same spot on Jupiter, did they?
Perhaps. If the original orbit took the object very near that planet. The orbit of the fragments will not vary significantly from the orbit of the original object.
breaking up could still be the difference between hitting another planet or missing it.