Specifications of flight vehicle handling qualities are currently based on the solution of linear, constant coefficient equations of motion, even when certain flight vehicle encounter continuously varing conditions in parts or all of their flight regime. This thesis develops an approach to encompass flight vehicle dynamics that vary during the performance of piloted tasks in the specification of handling qualities. Asymptotic methods, particularly Generalized Multiple Scales, are used to develop approximate analytical solutions to time-varying equations of motion. The solutions are valid throughout the time of variation, with constant flight conditions as a special case. Two classes of flight vehicles are examined to demonstrate the application of asymptotic methods to obtaining parameters pertinent to handling quality analyses. Extensions to existing criteria are suggested. This treatment of variable dynamics can give a clearer understanding of the response characteristics, and therefore of the stability and control requirements, of many piloted vehicles.


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