Xii   CONTENTS

ART.   PAGE

150. Damping    250

151. The Latitude and Meridian-Steaming Error Corrector    251 152. Avoidance of the Ballistic Error 252 153. Avoidance of the Error Due to Rolling and Pitching of the Ship

When on Intercardinal Courses    252

CHAPTER VI

GYROSCOPIC STABILIZATION

§1. General Principles

154. Static and Kinetic Stability ..255 155. The Stability of a System Consisting of a Body Capable of Oscil

lation and an Attached Precessing Gyro-Wheel    255

156. Some Laws of Dynamic Stability    257

§2. Gyroscopically Stabilized Monorail Cars

157. The Economy of Monorail Cars    259

158. The Principles upon Which Depend the Dynamic Stabilization

of Monorail Cars    259

159. The Effect of a Change in Linear Velocity on the Stability of a Monorail Car that Carries a Single Statically Unstable Gyroscope with Vertical Spin-Axle    261

160. The Effect of a Change in Linear Velocity on the Stability of a Monorail Car that Carries a Single Gyroscope with Horizontal Spin-Axle Transverse to the Car    284

161. Methods for Increasing the Kinetic Stability of a Monorail Car While the Car is Going Around Curves    265

162. The Schilovsky Monogyro Monorail Car    266

163. The Brennan Duogyro Monorail Car    268

164. The Scherl Duogyro Monorail Car of 1912    271