Jupiter has numerous moons. four moons were discovered by galileo in 1610. one of these moons, ganymede, is bigger than mercury. ganymede has a mass of 14.8x1022 kg, a period of 7.16 earth days, and a mean distance from jupiter of 1.07x106 km. a new moon to jupiter has recently discovered. this moon has a mean distance from jupiter of 11.6 x106 km, a radius of 1800 km, and a density of 1900 kg/m3. the moon follows an elliptical path with e=0.10.
a) what is the period of the new moon? (days)
b) what is the closest the new moon comes to jupiter? (106 km)
c) what is the gravitational acceleration on the new moon? (m/s2)
d) what is the escape velocity for a spaceship leaving the new moon? (km/s)
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