Abstract

The rst successful powered and controlled heavier-than-air igh t and the subsequent meteoric rise of aviation in the 20th century also brought with it mathematical models to understand the phenomenon of igh t. Though successful to a large extent as is obvious from their longevity, these models still suer from the odd anomalous results. Upon careful examination, the source of this problem can be traced to an inappropriate choice of dynamic stability derivatives that is inconsistent with the aerodynamics. In order to correctly distinguish between the dieren t mechanisms that are responsible for the aerodynamic forces and moments generated due to body angular rates in igh t, this paper renes the existing model for igh t mechanics by redening the dynamic stability derivatives with respect to i) relative rate of rotation between the body and wind axes, and ii) the rate of rotation of the wind axis with respect to the earth axis, sometimes called o w curvature eects. Further, new literal approximations to the longitudinal and lateral-directional modes have been obtained in terms of the redened dynamic stability parameters. The new approximations, for instance, correctly relate the short-period natural frequency to the longitudinal static stability parameter, Cm .

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