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The damping ratio in phugoid motion for gliders is usually less compared to powered aircraft because

  • A.gliders are unpowered.
  • B.gliders are light.
  • C.lift to drag ratio is higher for gliders.
  • D.gliders fly at low speed.

Answer: C

Gliders have less phugoid damping because lift to drag ratio is higher for gliders.

The phugoid is the slow exchange of speed and height. Drag is what damps it, and Lanchester's approximation gives the damping ratio as roughly

\[ \zeta \approx \frac{1}{\sqrt{2}\,(L/D)} \]

so the higher the lift to drag ratio, the lower the damping. Gliders are designed for very high L/D, so their phugoid is lightly damped. Being unpowered, light or slow does not appear in this relation; the damping is set by the aerodynamic efficiency.

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