Mathematical analysis of the stochastic dynamics of a spinning spherical satellite

The vector differential equation describing the motion of a spinning spherical satellite is here studied by assuming that the aerodynamical forces have random nature. The resulting evolution equation is a random differential equation with stochastic process coefficients which is solved by using a perturbation procedure and by following known methods of stochastic systems analysis. The solution process is therefore found in an approximated analytical form, which allows the determination of some statistical properties of the system.