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 ε and μ 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.