Excerpt from Tables for the True Anomaly in Elliptic OrbitsSimple or linear interpolation for the fractional part of M is almost always sufficient, thus, if e does not exceed the neglect of second differences cannot cause an error of more than With higher values of e this error becomes appreciable for a small portion of the tables near the beginning. Thus for e and M near 4° this error may reach The computer may take this into account by always adding a correction to the numerical value of 1) that has been obtained by simple interpolation. This correction is obtained by multiply ing the second difference (the difference between two successive tabular differ ences) by the number in the following table. The argument, (x), is the frac tional part of M, and may have any value from zero to unity.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.