Applied Cartesian Tensors for Aerospace Simulations.

Cover -- Title -- Copyright -- Forword -- Table of Contents -- Preface -- Acknowledgments -- Chapter 1. Geometric Concepts in the Absence of Mass and Gravitation -- 1.1 Position Transformation -- 1.2 Properties of the Transformation Matrix -- 1.3 Euler Angles and the Transformation Matrix -- 1.4 Euler's Theorem and Four Parameter Methods -- 1.5 Differentiation of the Transformation Matrix -- 1.6 Transformation Equations for Velocity and Acceleration -- Chapter 2. Motion of a Point Mass in Gravitational Space -- 2.1 Point Mass: Mathematical Descriptions -- 2.2 Point Mass and Gravitation -- 2.3 Point Mass Motion Relative to Earth-Based Coordinates -- 2.4 Point Mass Motion Relative to Space-Based Coordinates -- Chapter 3. N-Body Gravitational Space and Rigid Body Motion -- 3.1 N-Body Mass Systems: Mathematical Descriptions -- 3.2 Rigid Body Dynamics -- Chapter 4. Flight Vehicle Motion -- 4.1 Modeling Gravitational Environments for Aerospace Vehicles -- 4.2 Forces and Moments on the Flight Vehicle -- 4.3 Flight Vehicle Motion Simulations -- 4.4 Space Vehicle Motion Using Mean Orbital Elements -- Appendix A. Relationships for Three-Axis Euler Rotational Sequences -- Appendix B. C-W State Transition Matrix for LVLH Relative Motion -- Appendix C. Integral Lists for Computer Simulation Algorithms -- Appendix D. Numerical Solution Methods for Differential Equations: Computer Simulation Algorithms -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- X -- Y -- Z.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.