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The mass of Jupiter is 318 times that of Earth so the component of velocity increase due to the planet of any passing colliding object would be 318 times higher in the case of Jupiter as compared to Earth.
Just think of dropping a ball from rest at some arbitrary distance onto both planets surfaces. The only difference being the ball would hit Jupiters atmosphere well before it hit the surface of the Earth so a correction would have to be made for the difference in their diameters.
I calculate that it is alot!
Bert
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