Dynamical motion of a spacecraft containing a slug and influenced by a gyrostatic moment and constant torques

Abstract

This study examines how a spacecraft reacts to constant body-fixed torques and a gyrostatic moment (GM), as well as the impact of energy dissipation. The spacecraft model being studied includes a spherical slug near the center of mass covered by a viscid layer. The problem’s difficulty lies in solving its governing equations of motion (EOMs), which are derived through Euler nonlinear equations. Understanding the behavior of this model can offer insights into how spacecraft respond to external torques, aiding in the development of more efficient and stable systems for aerospace and robotics applications. The research delves into the relationship between energy dissipation and GM on the spacecraft motion in three different scenarios involving constant torques around three various axes. Detailed analysis, as well as novel solution and simulation results, are presented for different energy dissipation possibilities. The influence of manipulating the value of the GM and the viscosity of the layer has been approached. These findings are crucial for comprehending, maintaining, and controlling the motion of spacecraft influenced by external forces in space. The study promises to have a significant impact on the aerospace industry, particularly in the design and operation of spaceships and satellites, by enhancing our knowledge of rotational motion and celestial bodies’ behavior. A comprehensive report will be produced to elucidate the complexities of rotational and orbital motion discovered during this research.