Pakdemirli M.Aksoy Y.2024-07-222024-07-22201002534827http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18290The 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.EnglishAlgebraMechanical engineeringArbitrary functionsCanonical coordinatesFlying objectsGeneral equationsGroup classificationInvariant solutionsLie groupLie group theoryMechanical engineersSymmetry reductionDrag reductionArticle10.1007/s10483-010-1325-x