Rotation Sequences and the Theory of Vectors and Coordinates
eBook - PDF

Rotation Sequences and the Theory of Vectors and Coordinates

  1. 568 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Rotation Sequences and the Theory of Vectors and Coordinates

About this book

This book applies rotation theory to problems involving vectors and coordinates, with an approach that combines easily visualised procedures with smart mathematics. It constructs rotation theory from the ground up, building from basic geometry through to the motion and attitude equations of rockets, and the tensor analysis of relativity. The author replaces complicated pictures of superimposed axes with a simple and intuitive procedure of rotating a model aircraft, to create rotation sequences that are easily turned into mathematics. He combines the best of the 'active' and 'passive' approaches to rotation into a single coherent theory, and discusses many potential traps for newcomers. This volume will be useful to astronomers and engineers sighting planets and satellites, computer scientists creating graphics for movies, and aerospace engineers designing aircraft; also to physicists and mathematicians who study its abstract aspects.

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Yes, you can access Rotation Sequences and the Theory of Vectors and Coordinates by Don Koks in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-Title Page
  3. Title Page
  4. Imprints Page
  5. Contents
  6. Preface
  7. 1 Setting the Scene
  8. 2 Trigonometry, the Foundation of Coordinate Theory
  9. 3 The Vector Dot and Cross Products
  10. 4 Vector Preliminaries and Constructing a Basis
  11. 5 Converting Vector Coordinates Across Bases
  12. 6 Vector Rotation in Two and Three Dimensions
  13. 7 Rotation Sequences and the Fundamental Theorem
  14. 8 Coordinate Systems for Earth, and More Rotation Sequences
  15. 9 The Role of Quaternions in Rotation Theory
  16. 10 Time Dependence of Vehicle Attitude
  17. 11 Frame Dependence of the Time Derivative
  18. 12 Earth’s Orientation in Space, and Time on Earth
  19. 13 Orbital Mechanics
  20. 14 Rigid-Body Dynamics
  21. 15 Modelling the Motion and Attitude of a Vehicle
  22. 16 Concepts of Tensor Analysis
  23. Index