Sbornik zadach po dinamike tochkl v pole tsentral*nykh sll, [Collection of Problems on the Dynamics of a Point in a Central
Force Field], Ye. N. Polyakhova, Leningrad, Leningrad University Press, 197^, pp. 1-145.
The collection is a detailed selection of problems on the dynamics of the motion of a material point acted on by a central gravitational force of attraction, in particular, the dynamics of space flight. As an exception, the book presents several prob lems on the motion of a point acted on by central nongravitational forces.
The collection is intended mainly for correspondence students, however it can also be used as a text in the course on theoretical mechanics for students in day and evening departments. It may also prove useful to instructors providing practical exercises in the course on theoretical mechanics. 37 illustrations, 6 tables, 9 references.
You can get the book here and here
Foreword iv
Table of Contents vi
Chapter One. Central Forces. Force of Gravity and Its Dynamic Characteristics 1
Chapter Two. Kepler’s Laws 11
Chapter Three. Integral of Areas 19
Chapter Four. Binet’s Formulas for Central Forces 26
Chapter Five. Energy Balance and Velocity Along a Space Trajectory 36
Chapter Six. Time of Motion in a Space Trajectory 63
Chapter Seven. Conditions for the Existence of Elliptical Trajectories 77
Chapter Eight. Transfer from Orbit to Orbit 90
Chapter Nine. Sphere of Action. Problems of Third Escape Velocity 109
Chapter Ten. Two-Body Problem. Generalized Third Kepler’s Law 118
Chapter Eleven. Miscellaneous Problems 127
References 163
