The Near Earth Asteroid Rendezvous (NEAR) spacecraft,

Chapter 5, Problem 82

(choose chapter or problem)

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 Assume Eros has a density of about (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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