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Lindstedt-Poincaré Method and Mathematica Applied to the Motion of a Solid with a Fixed Point

Addolorata Marasco
Journal / Anthology

Computers and Mathematics with Applications
Year: 2000
Volume: 40
Page range: 333-343

To analyse the motion of a heavy solid S with a fixed point, two suitable parameters e and m are introduced which are, respectively, related to the forces and to the structure of the body. Then an approximate analytical solution is derived by the Lindstedt-Poincaré method. Finally, this solution is compared with the numerical results obtained by the program Solid.nb which allows to analyse the motion of any solid with a fixed point.

*Science > Physics > Mechanics