Don Koks

Rotation Sequences and the Theory of Vectors and Coordinates

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 565
• Erscheinungstermin: 30. April 2025
• Englisch
• ISBN-13: 9781009516754
• ISBN-10: 1009516752
• Artikelnr.: 73310702

Autorenporträt

Don Koks has a doctorate in quantum cosmology, with a background in pure and applied mathematics and physics, and applied accelerator physics. In his 20 years in Australian Defence he specialised in radar signal processing, spatial orientation concepts, relativistic precision timing, orbital mechanics and target tracking. His previous two books are 'Explorations in Mathematical Physics' (2006) and 'Microstates, Entropy and Quanta' (2019), both published by Springer.

Inhaltsangabe

1. Setting the scene
2. Trigonometry, the foundation of coordinate theory
3. The vector dot and cross products
4. Vector preliminaries, and constructing a basis
5. Converting vector coordinates across bases
6. Vector rotation in two and three dimensions
7. Rotation sequences and the fundamental theorem
8. Coordinate systems for Earth, and more rotation sequences
9. The role of quaternions in rotation theory
10. Time dependence of vehicle attitude
11. Frame dependence of the time derivative
12. Earth's orientation in space, and time on Earth
13. Orbital mechanics
14. Rigid-body dynamics
15. Modelling the motion and attitude of a vehicle
16. Concepts of tensor analysis
Index.