- #1
synchronous
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- 0
Homework Statement
Satellite in synchronous orbit with equator of Saturn. Find altitude in km.
rotational period = 38826 s
radius of Saturn = 6.03E7 m
mass of Saturn = 5.68E26 kg
Gravity constant = 6.673E-11
Homework Equations
T^2 = (4pi^2)(r^3)/(Gm)
The Attempt at a Solution
I plugged and chugged and arrived at an answer of 113114516 m. Then I subtracted the planet's radius from this answer to find the altitude of 52797562 m. I then concluded that the synchronous orbit had to have an altitude of 5.28E4 km. I also solved the problem using F(g) = F(c) and arrived at the same solution. What am I doing wrong? Are my constants incorrect?