Discussion
Relaxed static stability, as used on a modern combat aircraft, produces which longitudinal characteristic?
Answer: C
Deliberately moving the centre of gravity at or behind the neutral point makes \( C_{m_\alpha} \) zero or positive, so the bare airframe diverges in pitch and the flight control system must fly it continuously. The reward is a smaller tail, less trim drag and better manoeuvrability. The phugoid's period comes from trim speed and is not shortened by the change. Excessive damping is not the issue; the problem is missing stiffness. The quartic still has oscillatory roots, at least once the augmentation is in the loop, which is exactly what the control law is designed to restore.
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