Two small asteroids orbit each other in circular orbits. The distance between the centers(adsbygoogle = window.adsbygoogle || []).push({});

of the two asteroids is 35 m. The mass of the larger asteroid is 3 x 10 6 kg and the mass of the smaller asteroid is 1.2 x 10 5 kg.

a. )What is the magnitude of the gravitational force of interaction between the

two asteroids?

b.) What is the acceleration of each asteroid?

c.) What is the period of the circular orbits of each of the two asteroids?

Ignore the force of the sun acting on the asteroids for parts b & c.

a)F= Gm1m2/r2=(6.667*10-11 Nm2/kg2)(3*106 kg)(1.2*105 kg)/(35 m)2=0.020 N

b)I am try to find r, so I can insert into this equation:

g'=GmE/r^2

This is the equation i used to determine rE:

rE=sqrt(Gme/g)

I got, re=0.0009037 m

That doesn't look right to me

Any help?

c)How do I solve for the period of circular orbits?

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# Homework Help: Asteroid Orbits

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