How can stability be improved in a statically unstable rocket?

Adding weight to the nose of a statically unstable rocket improves stability by shifting the center of gravity forward. A stable rocket needs its center of gravity to be ahead of its center of pressure. When the nose is weighted down, the center of gravity moves forward, enhancing the rocket's overall aerodynamic stability. This means that if the rocket experiences any disturbances during flight, such as wind gusts or asymmetrical thrust, the weighted nose helps return the rocket to its stable flight path rather than allowing it to veer off course.

In contrast, increasing the width of the fins may provide more control surface area, but does not directly affect the positioning of the center of gravity relative to the center of pressure. Decreasing the rocket's length could also impact stability, but it does not necessarily guarantee that the center of gravity will be in the optimal position for stable flight. Adjusting fin angles can help with directional control, but it does not inherently resolve issues of stability; it could, in some cases, worsen stability depending on how it affects the rocket's aerodynamic forces.