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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. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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