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This book explores topics that are central to the field of spacecraft attitude determination and control. The authors provide rigorous theoretical derivations of significant algorithms accompanied by a generous amount of qualitative discussions of the subject matter. The book documents the development of the important concepts and methods in a manner accessible to practicing engineers, graduate-level engineering students and applied mathematicians. It includes detailed examples from actual mission designs to help ease the transition from theory to practice and also provides prototype algorithms that are readily available on the author’s website. Subject matter includes both theoretical derivations and practical implementation of spacecraft attitude determination and control systems. It provides detailed derivations for attitude kinematics and dynamics and provides detailed description of the most widely used attitude parameterization, the quaternion. This title also provides a thorough treatise of attitude dynamics including Jacobian elliptical functions. It is the first known book to provide detailed derivations and explanations of state attitude determination and gives readers real-world examples from actual working spacecraft missions. The subject matter is chosen to fill the void of existing textbooks and treatises, especially in state and dynamics attitude determination. MATLAB code of all examples will be provided through an external website.
Applied Mathematics and Mechanics, Volume 7: Torques and Attitude Sensing in Earth Satellites focuses on the possible torques that can affect the angular momentum of an Earth satellite. This book provides an understanding of the environment in which a satellite operates. Organized into 16 chapters, this volume starts with an overview of the application of force-free motion to space programs. This text then discusses the torque effects of a gravitational field, particularly with its gradient. Other chapters consider a particular method of gravity-gradient stabilization that utilizes a passive device to damp librations and thereby attain a vertical orientation. This book discusses as well the effects of the geomagnetic field on the angular motion of a satellite. The reader is also introduced to the method of magnetic attitude control employed in the Tiros satellite. The final chapter deals with the problem of horizon sensing, which is important for satellites requiring Earth stabilization. Astrophysicists will find this book useful.