The mass of the planet Jupiter is 318 times that of Earth, and its equatorial radius is 71,500 km. If a space probe is in a circular orbit about Jupiter at the altitude of the Galilean moon Callisto (orbital altitude 1.812×106 km), determine the change in speed Δv needed in the outer orbit so that the probe reaches a minimum altitude at the orbital radius of the Galilean moon Io (orbital altitude 3.502×105 km). Assume that the probe is at the maximum altitude in the transfer orbit when the change in speed occurs and that change in speed is impulsive, that is, it occurs instantaneously.
Figure P5.103
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