Rigid Body Dynamics for Space Applications

Chapter 1: Mathematical Mechanical Preliminaries

• Abstract
• 1.1 Mathematics
• 1.2 Rigid Body Kinematic
• 1.3 Rigid Body Dynamics
• 1.4 Chaotic Motion

Chapter 2: Reentry Attitude Dynamics

• Abstract
• 2.1 Introduction
• 2.2 Aerodynamics of Reentry Vehicles
• 2.3 The Equations of Motion
• 2.4 Analytical Solutions of the Undisturbed Equation for Sinusoidal Aerodynamic Moment
• 2.5 Analytical Solutions of the Undisturbed Equation for Biharmonical Aerodynamic Moment
• 2.6 Quasistatic Solutions for the Disturbed Equation of Motion
• 2.7 Adiabatic Invariants and the Approximate Solution for the Disturbed Motion
• 2.8 Bifurcation and Ways of Its Elimination at the Descent of Spacecraft in the Rarefied Atmosphere
• 2.9 Chaotic Attitude Motion of Reentry Vehicle With an Internal Moving Mass
• 2.10 Chaotic Behavior of Bodies in a Resistant Medium
• 2.11 Chaotic Motion of a Reentry Capsule During Descent into the Atmosphere

Chapter 3: Dynamics and Control of Coaxial Satellite Gyrostats

• Abstract
• 3.1 Introduction
• 3.2 Attitude Motion Equations
• 3.3 Integrable Cases in the Dynamics of Coaxial Gyrostats
• 3.4 The Exact Analytical Solutions
• 3.5 Dynamics and Chaos Control of the Gyrostats
• 3.6 Dynamics and Control of Dual-Spin Gyrostat Spacecraft With Changing Structure
• 3.7 Adiabatic Invariants in the Dynamics of Axial Gyrostats

Chapter 4: Deployment, Dynamics, and Control of a Tether-Assisted Return Mission of a Reentry Capsule

• Abstract
• 4.1 Introduction
• 4.2 Mathematical Model of a Satellite With a Tethered Payload
• 4.3 Analytical Solution in the Case of a Slow Changing of the Parameters
• 4.4 Oscillations of the Satellite With a Vertical Elastic Tether
• 4.5 Oscillations in the Case of an Elliptic Orbit
• 4.6 Swing Principle for Deployment of a Tether-Assisted Return Mission of a Reentry Capsule
• 4.7 Tether-Assisted Return Mission From an Elliptical Orbit Taking Into Account Atmospheric Stage of Reentry

Chapter 5: Removal of Large Space Debris by a Tether Tow

• Abstract
• 5.1 Introduction
• 5.2 Dynamics of Orbital Debris Connected to Spacecraft by a Tether in a Free Space
• 5.3 Dynamics of Large Orbital Debris Removal Using Tethered Space Tug in the Earth's Gravitational Field
• 5.4 Behavior of Tethered Debris With Flexible Appendages
• 5.5 Dynamics, Analytical Solutions and Choice of Parameters for Towed Space Debris With Flexible Appendages
• 5.6 The Motion of Tethered Tug-Debris System With Fuel Residuals
• 5.7 Dynamics of Towed Large Space Debris Taking Into Account Atmospheric Disturbance
• 5.8 Chaos Behavior of Space Debris During Tethered Tow

Chapter 6: Original Tasks of Space Mechanics

• Abstract
• 6.1 Introduction
• 6.2 Gravitational Stabilization of the Satellite With a Moving Mass
• 6.3 The Dynamics of the Spacecraft of Variable Composition
• 6.4 Restoration of Attitude Motion of Satellite Using Small Numbers of Telemetry Measurements