In this post, we will see the book .

# About the book

This book discusses a fairly wide range of problems in mechanics connected with the practical application of gyroscopes. The classical studies of A.N. Krylov and B. V. Bulgakov on the theory of gyroscopes are insufficient for solving the problems encountered in the development of new gyroscopic systems. Stricter standards of accuracy have made it necessary to take into account factors formerly neglected and to explain previously undetected experimental facts. New problems in kinematics, the applied theory of elasticity, the theory of oscillations and stability, and the theory of gyroscopes proper have thus arisen.

Several new papers on the theory of gyroscopic systems have been published by the author since this book was written (the present monograph is a second slightly revised edition of the book which was first printed in 1952 in a limited issue). Three of them are given here as appendixes.

The book was translated from Russian by Israel Program for Scientific Translations and was published in 1965.

Original scan by NASA TechDocs.

You can get the book here.

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# Contents

FOREWORD 1

## Chapter I. GEOMETRY AND KINEMATICS OF GYROSCOPIC SYSTEMS 5

## Chapter II. ORIENTATION OF GYRO-CONTROLLED OBJECTS 46

## Chapter III. PHENOMENA CONNECTED WITH THE ELASTICITY OF GYRO-SYSTEM ELEMENTS 75

## Chapter IV. LINEAR THEORY OF GYROSCOPIC SYSTEMS 105

## Chapter V. NONLINEAR PROBLEMS IN THE THEORY OF GYROSCOPES 178

## Chapter VI. VARIOUS PROBLEMS IN GYRO-SYSTEM MECHANICS 221

APPENDIX I. THEORY OF COMPLEX GYROSCOPIC STABILIZATION SYSTEMS

APPENDIX II. THEORY OF THE GYROHORIZONCOMPASS

APPENDIX III. DETERMINING THE POSITION OF A MOVING OBJECT BY GYROS AND ACCELEROMETERS

BIBLIOGRAPHY 311

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