Secular Perturbations Arising From the Action of Saturn Upon Mars

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Excerpt from Secular Perturbations Arising From the Action of Saturn Upon Mars: An Application of the Method of Arndt Let R, U, Z (each multiplied by the factor containing the masses, 5. E., m' (1 m) be the components of the perturbing force, R acting in the plane of the orbit of the perturbing body and in the direction of its radius vector, r, positive if r is increased, U in the plane of the orbit perpendicular to the radius vector, positive in the direction Of movement, Z perpendicular to the plane of the orbit, positive northward. Let 0. Be the longitude Of node, i the inclination of the orbit to a fixed ecliptic, a the semi-major axis, 6 the excentricity, y. The mean daily motion, a) the angular distance of perihelion from the ascending node, v, E, M the true, eccentric and mean anomalies and u a) O. In accordance with the usual method of varying parameters we have the following equations for the variations of the elements. 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.