The 175,000-lb space-shuttle orbiter is in a circular orbit of altitude 200 miles. The t...

The 175,000-lb space-shuttle orbiter is in a circular orbit of altitude 200 miles. The two orbitalmaneuvering- system (OMS) engines, each of which has a thrust of 6000 lb, are fired in retrothrust for 150 seconds. Determine the angle β which locates the intersection of the shuttle trajectory with the earth’s surface. Assume that the shuttle position B corresponds to the completion of the OMS burn and that no loss of altitude occurs during the burn.