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At high cruise altitude the Dutch roll damping of an unaugmented aeroplane generally

  • A.Falls to zero and the mode becomes aperiodic
  • B.Falls, because the aerodynamic damping derivatives scale with density
  • C.Rises, because true airspeed is higher
  • D.Is unchanged, because Mach number is what matters

Answer: B

The yaw damping and side-force derivatives both carry a factor of dynamic pressure, which falls with density at a given Mach number, so the damping ratio degrades as the aeroplane climbs. Combined with sweep, this is why the yaw damper matters most in the cruise. Higher true airspeed does not rescue it. Fixing Mach number fixes neither density nor dynamic pressure. And the mode does not turn aperiodic; it simply oscillates for longer, which is precisely the complaint.

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