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Excerpt from Long-Term Stability for Particle Orbits
In investigating the behavior of an algebraic transfor mation such as the one just proposed, one of course has a wide choice of working variables. Thus, if desired, new variables could be introduced that would result in a transformation having symmetry about the +a5o diagonal, or one could select variables that would reduce the number of computational steps (and hence improve the Speed and accuracy of the work) required to perform each iteration. One may merely regard the introduction of such new variables as a mathematical operation, but, in some instances, use of the new variables rather easily can be interpreted as viewing the dynamics at some other reference point within the lattice of the physical structure.
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Long-Term Stability for Particle Orbits (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. Delving into the intriguing topic of particle orbit stability in particle accelerators, this book explores the complex dynamics of particle motion within these powerful machines. The author, a renowned expert in accelerator design, presents a comprehensive analysis of both theoretical and computational approaches to understanding the long-term behavior of particles in accelerators, particularly focusing on those of the alternating gradient type. Through a combination of mathematical rigor and practical insights, the book sheds light on the fundamental principles governing particle stability, examining the effects of non-linearities and other factors that can influence particle trajectories. Exploring concepts rooted in classical mechanics and extending into contemporary accelerator physics, this book offers a valuable resource for researchers and practitioners seeking to optimize the performance and stability of particle accelerators. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781334441257_0
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