The present book is an attempt to satisfy the above-mentioneddemand. It should be understandable to all those acquainted with themathematics courses of the higher technical institutes as well as tostudents in the senior courses of these institutes.translated by Morris Friedmanedited by Julius J. BrandstatterTable of ContentsPREFACE  viINTRODUCTION  vii1. Fundamental Theorems on the Mechanics of a Free Point Mass  12. Attractive Force of a Material Body Having a Spherical Structure. Basic Earth Attractive Force  43. Classical Two-Body Problem. Equation of the Trajectory of a Point Moving Under the Effect of the Fundamental Force of Earth's Attraction 94. Relation of the Fundamental Parameters of Keplerian Trajectories to the Initial Motion Conditions  195. Magnitude of the Flight Velocity  246. Flight Altitude 257. Angular Flight Range  278. Direction of the Flight Velocity  379. Flight Time 4010. Identical Velocity Trajectories. Maximum Range Trajectory 6011. Identical Range Trajectories. Minimum Velocity Trajectory 7612. Fundamental Relations Between Parameters of the Maximum-Range and Minimum-Velocity Trajectories 8813. Deviations in the Angular Flight Range Caused by Initial Deviations 8914. Deviations in Flight Time Caused by Initial Deviations  103REFERENCES 112