In 2000, NASA placed a satellite in orbit around an asteroid. Consider a spherical asteroid with a mass of 1.00×1016 and a radius of 8.50km .
What is the speed of a satellite orbiting 4.70km above the surface?
What is the escape speed from the asteroid?
Physics - liberation, Wednesday, April 7, 2010 at 5:15am
Can i get the weight of the satellite?
Physics - drwls, Wednesday, April 7, 2010 at 7:33am
You don't need the weight or mass of the satellite. Use Kepler's Third Law in Newton's form (with the asteroid mass M, and G). The distance R from the center of the asteroid is 13.2 km. That is what you will need in the formula.
There is a standard formula for escape speed in terms of G and M, and asteroid radius R'. I believe it is
GM/R = (1/2)V^2
V = sqrt(2GM/R')