Collection of Problems on the Dynamics of a Point in a Central Force Field – Polyakhova

A DETAILED SELECTION OF PROBLEMS ON THE DYNAMICS OF THE MOTION OF A MATERIAL POINT ACTED ON BY A CENTRAL GRAVITATIONAL FORCE, IN PARTICULAR, THE DYNAMICS OF SPACE FLIGHT IS PRESENTED ALONG WITH SEVERAL PROBLEMS ON THE MOTION OF A POINT ACTED ON BY CENTRAL NONGRAVITATIONAL FORCES. TOPICS COVERED INCLUDE KEPLER'S LAWS, BINET'S FORMULAS FOR CENTRAL FORCES, THE ENERGY BALANCE AND VELOCITY ALONG A SPACE TRAJECTORY, TIME OF MOTION ALONG A SPACE TRAJECTORY, CONDITIONS FOR THE EXISTENCE OF ELLIPTICAL TRAJECTORIES, TRANSFER FROM ORBIT TO ORBIT, SPHERE OF ACTION, THIRD ESCAPE VELOCITY PROBLEMS, TWO-BODY PROBLEM, AND THE GENERALIZED THIRD LAW OF KEPLER.