The Near Earth Asteroid Rendezvous {NEAR) spacecraft,
Chapter 18, Problem 82GP(choose chapter or problem)
Problem 82GP
The Near Earth Asteroid Rendezvous {NEAR) spacecraft, after traveling 2.1 billion km, is meant to orbit the asteroid Eros with an orbital radius of about 20 km. Eros is roughly 40 km % 6 km x 6 km. Assume Eros has a density of about 2.3 x 103 kg/m3. (a) If Eros were a sphere with the same mass and density, what would its radius be? (b) What would g be at the surface of a spherical Eros? (c) Estimate the orbital period of NEAR as it orbits Eros, as if Eros were a sphere.
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