Tables For Facilitating The Use Of Harmonic Analysis PDF Download

Excerpt from Tables for the Development of the Disturbing Function With Schedules for Harmonic Analysis These tables of the coefficients in the development of the disturbing function have been so constructed that for the great majority of problems which demand the calculation of general planetary perturbations, the values of the coefficients may be extracted by interpolation with first differences only. To achieve this within a reasonable compass, it was necessary to separate those factors of the coefficients which vary rapidly with the argument from those which vary slowly: the former are simple functions of the argument easily computed while the latter portions are tabulated. Since the product of four factors will, in general, be needed for the calculation of any term in the disturbing function or disturbing forces, it was advisable to tabulate the logarithms rather than the natural values. While the tables are available for any mode of development of the planetary theory, the calculations of the disturbing forces can best be reduced to routine computation by the methods of harmonic analysis. To facilitate the work of carrying it out, schedules for the analysis are shown in detail with examples. Additional tables to aid in the calculation of the special values of the functions are also given. 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.