Browsing by Subject "Lie group"

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    Group classification for path equation describing minimum drag work and symmetry reductions
    (2010) Pakdemirli M.; Aksoy Y.
    The path equation describing the minimum drag work first proposed by Pakdemirli is reconsidered (Pakdemirli, M. The drag work minimization path for a flying object with altitude-dependent drag parameters. P roceedin gs of the I nstituti on of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science 223 (5), 1113-1116 (2009)). The Lie group theory is applied to the general equation. The group classification with respect to an altitude-dependent arbitrary function is presented. Using the symmetries, the group-invariant solutions are determined, and the reduction of order is performed by the canonical coordinates. © Shanghai University and Springer-Verlag.