An effective rigid body math model /
Dave Knopp
- First Edition.
- Las Vegas, NV : Dave Knopp, c2022.
- 108 pages : 23 cm.
Include bibliographical refences.
Part 1 : Chapter 1 : Preface. -- Chapter 2 : Introduction. -- Chapter 3 : Preliminaries and context. -- Part 2 : Rigid body transformations: Static scenarios. -- Chapter 4 : State. -- Chapter 5 : Transformation components. -- Chapter 6 : Full rigid body transformation. -- Part 3 : Rigid body transformation : kinetics and derivatives. -- Chapter 7 : Motion. -- Chapter 8 : Transformation derivatives. -- Part 4 : Practical considerations. -- Chapter 9 : Observations and parameter recovery. -- Chapter 10 : Useful differentiation relationships. -- Part 5 : Concluding remarks. -- Chapter 11 : Practical observations. -- Part 6 : Appendices. -- A. Useful geometric algebra items. -- B. bivectors and rotation. -- C. Transformation concepts. -- D. Exponential function derivatives. -- Bibliography.
This book offers a practical and concise formulation of the geometry and mathematics associated with position and attitude of a rigid body in 3D space. The material is presented as a practical technical synopsis containing useful formulas and expressions presented in context of general descriptions and underlying physical interpretations. The content is structured as a useful working-reference intended for those who are developing algorithms and applications involved with modelling, measuring and/or controlling rigid objects in our physical world.