Evolution of rotational motions of a nearly dynamically spherical rigid body with cavity containing a viscous fluid in a resistive medium

Abstract

The paper develops an approximate solution by means of averaging method to the system of Euler’s equations with additional perturbation terms for a nearly dynamically spherical rigid body filled with a viscous fluid in a resistive medium. The numerical integration of the averaged system of equations is conducted for the body motion. The graphical presentations of the solutions are represented and discussed. The main objective of this paper is to extend the previous results for the problem of motion about a center of mass of a rigid body with a cavity filled with a fluid of high viscosity (in the absence of resistive medium). Evolution of perturbed Euler–Poinsot motion under the influence of small internal and external torques is studied.