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

To analyse the motion of a heavy solid S with a fixed point, two suitable parameters epsilon and mu 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-Poincar's 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.