Celestial Mechanics - Basic Problems and Methods. Volume 1

摘要

The document represents the first comprehensive Soviet study of celestial mechanics published in over twenty years. It is part of a series released in 1961 dealing with the theory of gravitation, celestial mechanics and the analytical and qualitative methods of the latter. This present volume on celestial mechanics contains the following chapters: The equations of Lagrange and Hamilton; Differential equations of translational motion of celestial bodies; The differential equations of translational and rotational motion of celestial bodies; Integration of the differential equations of unperturbed motion; The investigation of unperturbed motion.