An SR-71 is in a 20-deg banked level turn at Mach 3.0 and an A-5. altitude of 80,000 ft. Assume the ambient temperature is 390 °R. Answer the following questions: 

a) What is the aircraft's turn radius in nautical miles? 

b) What is the aircraft's turn rate in degrees per second? 

c) If the pilot increases the bank angle to 45 deg while maintaining a level turn at Mach 3.0, what would the new turn radius be in nautical miles? What would happen to the aircraft load factor?