Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_239

3/239 A spacecraft moving in a west-to-east equatorial orbit is observed by a tracking station located on the equator. If the spacecraft has a perigee altitude $H = 150 \text{ km}$ and velocity $v$ when directly over the station and an apogee altitude of $1500 \text{ km}$, determine an expression for the angular rate $p$ (relative to the earth) at which the antenna dish must be rotated when the spacecraft is directly over the station. Compute $p$. The angular velocity of the earth is $\omega = 0.7292(10^{-4}) \text{ rad/s}$.