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brett812718
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[SOLVED] need help with keplers 3rd law of periods problem
A 20 kg satellite has a circular orbit with a period of 2.6 h and a radius of 9.4E6 m around a planet of unknown mass. If the magnitude of the gravitational acceleration on the surface of the planet is 8.6 m/s2, what is the radius of the planet?
T^2=((4pi^2)/(GM))r^3
a gravity=(GM)/r^2
I used the law of periods to find the mass and then used the second equation to find the radius of the planet but I got a really small number
Homework Statement
A 20 kg satellite has a circular orbit with a period of 2.6 h and a radius of 9.4E6 m around a planet of unknown mass. If the magnitude of the gravitational acceleration on the surface of the planet is 8.6 m/s2, what is the radius of the planet?
Homework Equations
T^2=((4pi^2)/(GM))r^3
a gravity=(GM)/r^2
The Attempt at a Solution
I used the law of periods to find the mass and then used the second equation to find the radius of the planet but I got a really small number