Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631102 | Applied Mathematics and Computation | 2011 | 9 Pages |
Abstract
It is shown that the three nonlinear dynamic Euler ordinary differential equations (ODEs), concerning the motion of a rigid body free to rotate about a fixed point, are reduced, by means of a subsidiary function which is to be determined, to three Abel equations of the second kind of the normal form. Based on a recently developed mathematical construction concerning exact analytic solutions of the Abel nonlinear ODEs of the second kind, we perform a new mathematical solution for the classical dynamic Euler nonlinear ODEs.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dimitrios E. Panayotounakos, Ioanna Rizou, Efstathios E. Theotokoglou,