Evolution of Motions of a Rigid Body About its Center of Mass

The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature. It contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging. The rigorous approach based on the averaging procedure is applicable to bodies with arbitrary ellipsoids of inertia. Action of various perturbation torques, both external (gravitational, aerodynamical, solar pressure) and internal (due to viscous fluid in tanks, elastic and visco-elastic properties of a body) is considered in detail. The book can be used by researchers, engineers and students working in attitude dynamics of spacecraft. Front Matter....Pages i-xxxviii The Foundations of Dynamics of a Rigid Body with a Fixed Point....Pages 1-12 Motion of a Rigid Body by Inertia. Euler’s Case....Pages 13-25 Lagrange’s Case....Pages 27-40 Equations of Perturbed Motion of a Rigid Body About Its Center of Mass....Pages 41-72 Perturbation Torques Acting upon a Rigid Body....Pages 73-105 Motion of a Satellite About Its Center of Mass Under the Action of Gravitational Torque....Pages 107-137 Motion of a Rigid Body with a Cavity Filled with a Viscous Fluid....Pages 139-163 Evolution of Rotations of a Rigid Body in a Medium....Pages 165-189 Motion of a Rigid Body with Internal Degrees of Freedom....Pages 191-203 Influence of the Torque Due to the Solar Pressure upon the Motion of a Sun Satellite Relative to Its Center of Mass....Pages 205-225 Perturbed Motions of a Rigid Body Close to Lagrange’s Case....Pages 227-241 The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature. It contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging. The rigorous approach based on the averaging procedure is applicable to bodies with arbitrary ellopsoids of inertia. Action of various perturbation torques, both external (gravitational, aerodynamical, solar pressure) and internal (due to viscous fluid in tanks, elastic and visco-elastic properties of a body) is considered in detail. The book can be used by researchers, engineers and students working in attitude dynamics of spacecraft