For stable flight, where must the center of gravity be located relative to the center of pressure?

For stable flight, it is essential for the center of gravity to be located in front of the center of pressure. When the center of gravity is ahead of the center of pressure, any deviations from the rocket's intended flight path will result in aerodynamic forces acting to restore the rocket to its original trajectory. This stabilizing force is critical, as it ensures that the rocket's nose is pointed in the direction of flight, preventing it from tumbling or veering off course.

In stability dynamics, if the center of gravity is behind the center of pressure, the rocket may become unstable, causing it to pitch or yaw uncontrollably. When issues arise, the aerodynamic forces can exacerbate the instability, potentially leading the rocket to spiral out of control.

Placing the center of gravity in the same position as the center of pressure may create a neutral stability condition, but it does not provide the necessary restoring forces required for stable flight. A position where the center of gravity can be anywhere is impractical and ignores the fundamental principles of rocket stability. Thus, the requirement for the center of gravity to be in front of the center of pressure is a key principle in rocket stability.