Radius of Orbits: GPS Satellite & Earth

[Ryo124]

OK. Weird, I did it again and got 2.03 x 10^7. Cool.

Thanks for your help and patience everyone, I guess I made this problem harder than it needed to be.

 

[D H]

Since you only used two decimal places of accuracy for G and M_e, it would be better to say 2.0x10⁷ meters in this case.

As an aside, it is often better to use the planet gravitational constant (the product of universal gravitational constant and the planet mass rolled into one constant) rather than the product of universal gravitational constant and the planet mass as separate values. What's the difference? Accuracy. In the case of the Earth, we know the product G M_e to 9 places of accuracy: 398,600.4418±0.0008 km³/s². In comparison, we only know G to 4 decimal places.