You have discovered a new asteroid, which has a moon in an elliptical orbit around it. From a series of observations, you establish that the closest approach occurs when the moon is 49,000 m from the asteroid,
the furthest separation is 98,000 m, and the speed of the moon at the point of closest approach is 7.50 m/s. What is the mass of the asteroid? G = 6.67 x 10-11 N•m2/kg2.
A)
4.25 × 1016 kg
B)
9.87 × 1016 kg
C)
3.10 × 1016 kg
D)
2.04 × 1016 kg
E)
5.05 × 1016 kg
C
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