Introduction to the Coriolis Force [Paperback]

Acknowledgements
Introduction
Prolegomenon
I. Real and apparent force
1.1 Real force
1.1 Apparent force
Exercises
Conventions about notation
II. Velocity and acceleration in plane polar coordinates
2.1 Transformation of coordinates
2.2 Velocity and acceleration
Exercises
III. Rotating coordinate frames
3.1 Coriolis force
3.2 Magnitude of the Coriolis force
3.3 Centrifugal and Coriolis forces in rotating rectangular coordinates
3.4 Experts, novices and Hooke springs
3.5 Trajectories in the absolute inertial reference frame
3.6 A linkage analogy
3.7 Trajectory in rotating frame
3.8 Another approach using complex notation
3.9 The usage of the words "balance" and "equilibrium"
Problems
Exercises
Some physical interpretation of what we have observed in exercise 3-1
IV. The paraboloidal dish
4.1 The paraboloid as a platform
4.2 Small amplitude motions in the rotating frame
4.3 First integrals
Problems
Exercises
V. Surfaces of revolution
5.1 Hemispherical and paraboloidal dishes compared
5.2 Comparison with the Hooke spring plane
5.3 Results from first integrals
5.4 The paraboloid
5.5 The Hooke spring plane
5.6 Spherical dish
5.7 Rotation of the apsides
5.8 Numerical solutions
Problems
Exercises
VI. Velocity and acceleration in spherical coordinates
6.1 Tranformation from cylindrical polar coordinates to spherical coordinates
6.2 Alternative forms in inertial space
6.3 Acceleration and Coriolis forces in rotating spherical coordinates
6.4 Trajectories on the surface of a gravitating sphere
6.5 Planer motion in spherical colc2