The Near Earth Asteroid Rendezvous (NEAR), after traveling 2.1 billion km , is meant to orbit the asteroid Eros at a height of about 15km . Eros is roughly 40km* 6 km*6 km. Assume Eros has a density (mass/volume) of about 2.3*10^3 kg/m3.
a. What will be the period of NEAR as it orbits Eros?
b. If Eros were a sphere with the same mass and density, what would its radius be?
c. What would be at the surface of this spherical Eros?