In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.00×1016 kg and a radius of 8.50 km.

What is the speed of a satellite orbiting 4.70 km above the surface?
What is the escape speed from the asteroid?

1 answer

1) set v^2/r=G*mass/r^2 where r is radius asteroid + altitude.
solve for v

2) 1/2 vescape^2=GMaste/radius