What location of CG (forward or aft center of gravity) would be the most fuel efficient? The most stable? Could you change this situation if you changed the design of the aircraft?

The location of the center of gravity (CG) in an aircraft has significant effects on its performance and stability. Generally, a more forward CG creates a more stable aircraft, while a more aft CG can enhance maneuverability. However, the optimal location for fuel efficiency and stability can vary depending on the specific design of the aircraft.

Fuel Efficiency: In terms of fuel efficiency, a forward CG is generally preferred. Placing the CG forward helps to reduce the tail-down force required to maintain level flight. This, in turn, reduces the amount of elevator deflection needed and the resulting drag, leading to improved fuel efficiency. Additionally, a forward CG can help to minimize trim drag by reducing the need for excessive stabilizer trim adjustments.

Stability: For stable flight, an aircraft generally needs to have its CG slightly ahead of its neutral point. The neutral point is the point where pitch moment changes do not produce any restoring forces. Placing the CG forward of the neutral point allows the aircraft to have a natural tendency to return to its trimmed attitude after disturbances, making it more stable.

Impact of Aircraft Design: The specific design of the aircraft, such as its wings, tail configuration, and control surfaces, can influence the optimal CG location for both fuel efficiency and stability. For example, an aircraft with a highly efficient wing design may tolerate a more aft CG without compromising fuel efficiency. On the other hand, an aircraft with a less efficient wing design may require a more forward CG to achieve optimal fuel efficiency.

Changing the aircraft design can alter the behavior of CG. For instance, modifying the size or location of the wings, tail, or other components can affect the aerodynamic forces acting on the aircraft and its stability characteristics. Therefore, through careful design considerations, it is possible to adjust the CG location to achieve an optimal balance between fuel efficiency and stability for a given aircraft.