Just after launch from the earth, the space-shuttle orbiter is in the 37 x 137–mi orbit...

Just after launch from the earth, the space-shuttle orbiter is in the 37 x 137–mi orbit shown. At the apogee point A, its speed is 17,290 mi/hr. If nothing were done to modify the orbit, what would its speed be at the perigee P? Neglect aerodynamic drag. (Note that the normal practice is to add speed at A, which raises the perigee altitude to a value that is well above the bulk of the atmosphere.)