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Every time Neptune scatters bodies to Jupiter, Neptune gains energy and its
orbit becomes larger. How much mass would Neptune have to scatter to Jupiter
for Neptune’s orbit to have changed from a circular orbit at 22AU to a circular
orbit at 30AU? Give the answer in terms of Neptune’s mass and assume that all
scattered objects approached Neptune on circular orbits but left on orbits with
aphelia of 26AU (average between 22 and 30) and perihelia of 5 AU.
orbit becomes larger. How much mass would Neptune have to scatter to Jupiter
for Neptune’s orbit to have changed from a circular orbit at 22AU to a circular
orbit at 30AU? Give the answer in terms of Neptune’s mass and assume that all
scattered objects approached Neptune on circular orbits but left on orbits with
aphelia of 26AU (average between 22 and 30) and perihelia of 5 AU.