One problem that I'm having trouble with (as opposed to the other):
The Messenger is a probe that orbits Mercury 700km from the surface. What is the tangential velocity it should be rotating at so that it doesn't precipitate towards the planet, in m/s?
Data: Mercury's mass 3,3×1023kg Diameter: 4870km . Gravitational constant: G=6,67×10−11m3kg−1s−2
I assume I need to use the following ac=V2r
F=Gm1m2d2
EDIT:
Solving for V in Gm1m2d2=m1V2d
did it.
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