Chapter 6: stability and control



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Neutral Point

Figure 6.12 illustrates the effect of moving the aircraft center of gravity aft (to the rear). From (6.10), moving the center of gravity aft (increasing ) increases the magnitude of the (destabilizing) wing term and decreases lt and Vh , so that the aircraft becomes less stable. The location of the center of gravity which would cause the airplane to have neutral static longitudinal stability is called the neutral point.

Figure 6.14 Effect on Trim Diagram of Moving the Center of Gravity Aft

Neutral static stability is achieved when = 0, so an approximate expression for the location of the neutral point can be developed by setting (6.10) equal to zero and solving for . The expression obtained in this way is approximate if VH is treated as constant. This is a reasonable approximation for most aircraft, since lt is usually more than ten times greater than xcg - xac. A change in xcg has a much larger effect on the wing term of (6.10), and an almost negligible effect on the tail term. Setting (6.10) equal to zero and solving for yields:



(6.17)



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