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A method for analyzing large-amplitude airplane maneuvers is described. The concept of attitude projection and its successive trajectory, which is a graphical means for expressing changes in flight attitude, are introduced. Then, a well-known acrobatic maneuver, barrel roll, is analyzed using the method. The numerical calculation used for a large maneuver is presented as an example of the inverse problem in flight mechanics.
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Osamu Kato (1990) studied this question.
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