# A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is R0 and mass of the earth M , the angular momentum about the center of the earth is

Q: A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is R0 and mass of the earth M , the angular momentum about the center of the earth is

(a) $m \sqrt{G M R_0}$

(b) $m \sqrt{G m R_0}$

(c) $m \sqrt{\frac{G M}{R_0}}$

(d) $M \sqrt{\frac{G m}{R_0}}$

$\displaystyle L = m \sqrt{\frac{G M}{R_0} } \; R_0$
$\displaystyle L = \sqrt{G M R_0}$