The Near Earth Asteroid Rendezvous (NEAR), after traveling 2.1 billion km, is me

Question

The Near Earth Asteroid Rendezvous (NEAR), after traveling 2.1 billion km, is meant to orbit the asteroid Eros at a height of about 15 km from the asteroid's center. Eros is roughly box-shaped, with dimensions 40 km 6 km 6 km. Assume Eros has a density (mass/volume) of about 2.3 103 kg/m3.

(a) What will be the period of NEAR as it orbits Eros?
(in seconds)

(b) If Eros were a sphere with the same mass and density, what would its radius be?
(in km)

(c) What would g be at the surface of this spherical Eros?
(in m/s2)

Explanation / Answer

Me = ?*V = 2300*40000*6000*6000 = 3.312E15 kg Ro = 15000 m...... ==> a) T = 2??[Ro

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