Question

Venus rotates slowly about its axis, the period being 243 days. The mass of Venus is 4.87x10^24 kg. Determine the radius for a synchronous satellite in orbit about Venus.

Answer 1

@JakeV8

Answer 2

@asnaseer @cwrw238

Answer 3

I used to be better at this :(

Trying to resurrect some old knowledge...

Answer 4

:-l

Answer 5

You end up using the velocity of the satellite as v = d/t where d is the circumference of the orbit and t = 243 days (use appropriate units though).

Then you can do something that I can't quite recall with radial velocity...

v^2 / r = GM/r^2 I think is the formula, except that uses G from earth's gravity, so you would need to use the numbers for Venus instead.

This might give you an idea though, but I realize it's not exactly a full explanation :)