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NASA put the 487 kg satellite "NEAR Shoemaker" in orbit around the asteroid "433 Eros" in February 2000.?
You need to figure out how to do the same thing for a different asteroid that has a mass of 3.26×1019 kg and a radius of 145 km. What speed would a 460 kg mass satellite have if it is in a 222 km radius circular orbit around this asteroid?
2 Answers
- 5 years agoFavorite Answer
V = sqrt(G x M / r)
V = the velocity , G is the gravitational constant, M is the mass of the asteroid, and r is your orbital radius.
- poornakumar bLv 75 years ago
Use KTL (Newtonian version),
(P/2π)² = a³/G(M+m).
Speed = 2πa/P = √[G(M+m)/a].
