What is the best technique for flying at a high speed on a small arc?

Flying at a high speed on a small arc is best achieved by maintaining a constant bank angle. This technique allows for the necessary centripetal force to be generated while effectively managing the aircraft's turning radius. When a constant bank is used, the aircraft can maintain a stable turn, keeping the turn tight without inducing excessive load factors, which could compromise control and comfort for the occupants.

The aerodynamics of flight dictate that a constant bank angle at higher speeds allows an aircraft to make sharper, more efficient turns compared to other techniques. It ensures that the pilot can keep a consistent rate of turn and helps manage the aircraft's energy state throughout the maneuver.

Other methods, like flying at reduced speed or varying bank angles, could lead to less efficient turns or greater aerodynamic drag. Flying straight and level would not achieve any turn at all, which makes it an ineffective choice for the described scenario. Thus, maintaining a constant bank is crucial for optimal performance when turning at high speeds on a small arc.