Henderson D.M. Applied Cartesian Tensors for Aerospace Simulations

Reston, Virginia: AIAA, 2006. — 215 p. — ISBN: 1-56347-793-9.We are pleased to present Applied Cartesian Tensors for Aerospace Simulations by David M. Henderson. This compact volume covers the use of tensors in the analysis of navigation, guidance, and control of aerospace vehicles. There are four chapters and four appendices, and the book is more than 200 pages long. David Henderson is very well qualified to write on the subject, because of his long and broad experience in the field.
The AIAA Education Book Series aims to cover a very broad range of topics in the general aerospace field, including basic theory, applications and design. Information about the complete list of titles can be found on the last pages of this volume. The philosophy of the series is to develop textbooks that can be used in a university setting, as instructional materials for continuing education and professional development courses, and also as books that can serve as the basis for independent study. Suggestions for new topics or authors are always welcome.Geometric concepts in the absence of mass and gravitation.
Position Transformation.
Properties of the Transformation Matrix.
Euler Angles and the Transformation Matrix.
Euler's Theorem and Four Parameter Methods.
Differentiation of the Transformation Matrix.
Transformation Equations for Velocity and Acceleration.
Motion of a point mass in gravitational space.
Point Mass: Mathematical Descriptions.
Point Mass and Gravitation.
Point Mass Motion Relative to Earth-Based Coordinates.
Point Mass Motion Relative to Space-Based Coordinates.
N-body gravitational space and rigid body motion.
TV-Body Mass Systems: Mathematical Descriptions.
Rigid Body Dynamics.
Flight vehicle motion.
Modeling Gravitational Environments for Aerospace Vehicles.
Forces and Moments on the Flight Vehicle.
Flight Vehicle Motion Simulations.
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.