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Which of these is a control derivative rather than a stability derivative?

  • A.Pitching moment with incidence
  • B.Yawing moment with sideslip
  • C.Rolling moment with roll rate
  • D.Pitching moment with elevator deflection

Answer: D

A control derivative has a control deflection as its independent variable, so pitching moment with elevator deflection is the one. The other three all differentiate with respect to a motion variable - incidence, sideslip and roll rate - and are therefore stability derivatives. The distinction matters in the equations of motion: stability derivatives populate the system matrix and set the modes, while control derivatives populate the input matrix and set the response to the pilot.

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