Physics

Problem

A GPS satellite orbits Earth in a circular orbit. The period of the satellite is

T = 12\,\text{hours}

. Given the mass of Earth

M = 6 \times 10^{24}\,\text{kg}

and

G = 6.67 \times 10^{-11}\,\text{N m}^{2}/\text{kg}^{2}

, calculate the orbital radius

r

of this satellite.