Orbital Radius of Earth Satellite: Solve for r

[Bernie Hunt]

Find the orbit radius of an Earth satellite in a circular orbit if the period if 1d.

I'm at a dead end. So far I have;

r^3 = (GMT^2) / (4(pi)^2)

r^3 = (6.67*10^(-11) * 6*10^(24)) / (4 * pi^2)

and I get

r = 21642

The book says 42.2Mm. I'm only off by a couple of million meters, hahaha.

Where am I going wrong?

Thanks,
Bernie

 

[dicerandom]

You need to use the value of T in seconds for the constants you used to be correct.

 

[Bernie Hunt]

Argh! Thud, thud, thud ...

That's the sound of me banging my head against the wall!

Thanks for the quick reply.

Bernie