Table of Contents

Dedication

List of figures

List of tables

List of symbols

Acknowledgements

Preface

About the authors

Chapter 1: Introduction

1.1 Introduction to the book

1.2 Book division

Chapter 2: Two body orbital motion

Abstract:

2.1 Introduction to orbital motion

2.2 Constraints and generalized coordinates

2.3 Lagrange’s equation

2.4 System of particles

2.5 Two body orbital motion problem

2.6 Orbital equations of motion

2.7 Energy and velocity of orbiting bodies

2.8 Escape velocity

2.9 Earth Coordinate Inertial (ECI) system

2.10 Period of an orbit

2.11 Development of Kepler’s equation

2.12 Suggested problems

Chapter 3: Orbital perturbations in the two body motion

Abstract:

3.1 Introduction to disturbance effects

3.2 Lagrange planetary equations

3.3 Perturbation due to the earth oblateness

3.4 The near-Earth atmosphere effects

3.5 Solar radiation pressure force

3.6 Other disturbance effects

3.7 Suggested problems

Chapter 4: Frame rotations and quaternions

Abstract:

4.1 Introduction to rotations and quaternions

4.2 Two-dimensional frame rotations

4.3 Three-dimensional frame rotations

4.4 Example of frame rotations

4.5 Quaternion definition and rotations

4.6 Quaternion to Euler angle relations

4.7 Suggested problems

Chapter 5: Rigid body motion

Abstract:

5.1 Introduction to attitude dynamics

5.2 Rate of change of a vector

5.3 Moment of inertia

5.4 Principal moments of inertia

5.5 Energy formulation

5.6 Rate of change of a quaternion

5.7 Ares V equations of motion

5.8 Suggested problems

Chapter 6: Environmental and actuator torques

Abstract:

6.1 Introduction to torque formulation

6.2 Environmental torques

6.3 Actuator (or control) torques

6.4 Suggested problems

Chapter 7: Continuous and digital control systems

Abstract:

7.1 Introduction to methods of designing continuous and discrete control systems

7.2 Ares V equations of motion for first stage flight

7.3 Continuous control formulation

7.4 Discrete control formulation

7.5 Adaptive and intelligent controls

7.6 Suggested problems

Chapter 8: Example

Abstract:

8.1 Introduction to examples in spacecraft attitude dynamics and control

8.2 Nanosatellite problem definition

8.3 B-dot controller for fast corrections

8.4 Linear quadratic regulator for attitude correction

8.5 Linear quadratic regulator control weight design

8.6 Suggested problems

Chapter 9: Formation flying

Abstract:

9.1 Introduction to formation flying

9.2 Tschauner–Hempel formulation

9.3 Clohessy–Wiltshire formulation

9.4 Earth oblateness and solar effects in formation flying

9.5 Lawden solution

9.6 Discrete optimal control problem for formation flying

9.7 Formation flying controller implementation

9.8 Suggested problems

Chapter 10: Deployment procedure for a constellation

Abstract:

10.1 Introductory comments

10.2 Desired conditions of the satellites in the proposed tetrahedron constellation

10.3 Transfer from a circular orbit to the elliptical orbit (stage 1)

10.4 Station-keeping procedure (stage 2)

10.5 Deployment procedure for the tetrahedron constellation

10.6 Remarks

10.7 Suggested problems

Chapter 11: Reconfiguration procedure for a constellation

Abstract:

11.1 Introduction to the reconfiguration process of a constellation

11.2 Data mining process of the Lagrange planetary equations

11.3 Fuzzy logic controller

11.4 Phase I to II in-plane motion fuzzy logic control system

11.5 Phase II to III in-plane motion fuzzy logic controller

11.6 Out-of-plane motion correction

11.7 Some solutions for the reconfiguration procedures

11.8 Implementation of the fuzzy logic controller

11.9 Adaptive control scheme for reconfiguration procedure

11.10 Remarks

11.11 Suggested problems

Appendix: Formulae relating to orbital mechanics

Index

About the Author

Dr Pedro A. Capó-Lugo works as an Aerospace Engineer in the guidance, navigation, and control analysis and design group at NASA George C. Marshall Space Flight Center in Huntsville, Alabama. He has worked in the analysis of control systems of the Ares rockets in the Constellation program, and has analyzed and developed control systems for different satellite missions which include nano and cube satellites. One of his main research interests is formation flying. Dr Peter M. Bainum has 50 years industrial and academic experience. His research in aerospace systems dynamics and control resulted in 220 authored/co-authored publications. His current research interests include: formation flying and dynamics; and control of large flexible space structures. Honours include Fellow AIAA, AAS, AAAS, BIS; Honorary Member Japanese Rocket Society (JRS); IAA Member, and recipient of AIAA International Cooperation, IAF Malina Education, AAS Dirk Brouwer and Sen. Spark Matsunaga International Cooperation Awards. His experience includes participation in the Gemini mission, Apollo program proposal, Department of Defense Gravity Experiment Satellite, Small Astronomy Dual Spin Spacecraft, the Shuttle-Tethered-Subsatellite program, and the NASA proposed Cluster Formation Flying program. Dr. Bainum holds the position of Distinguished Professor of Aerospace Engineering, Emeritus, Howard University, Washington, DC, USA.