Physics

Problem

A satellite in a low-Earth orbit (LEO) at an altitude of

400\,\text{km}

has speed

v_{\text{LEO}}

. Another satellite remains fixed over the equator with speed

v_{\text{geo}}

. Using

M_{\oplus}=6.0\times10^{24}\,\text{kg}

R_{\oplus}=6.4\times10^{6}\,\text{m}

and

G=6.67\times10^{-11}\,\text{N\,m}^{2}\text{kg}^{-2}

, calculate the ratio

v_{\text{geo}}/v_{\text{LEO}}