Stommel H.M., Moore. D.W. An introduction to the Coriolis force

New York: Columbia University Press, 1989. — 316 p.AcknowledgementsProlegomenon
Real and apparent force
Real force
Apparent force
Exercises
Conventions about notation
Velocity and acceleration in plane polar coordinates
Transformation of coordinates
Velocity and acceleration
Exercises
Rotating coordinate frames
Coriolis force
Magnitude of the Coriolis force
Centrifugal and Coriolis forces in rotating rectangular coordinates
Experts, novices and Hooke springs
Trajectories in the absolute inertial reference frame
A linkage analogy
Trajectory in rotating frame
Another approach using complex notation
The usage of the words "balance" and "equilibrium"
Problems
Exercises
Some physical interpretation of what we have observed in exercise -
The paraboloidal dish
The paraboloid as a platform
Small amplitude motions in the rotating frame
First integrals
Problems
Exercises
Surfaces of revolution
Hemispherical and paraboloidal dishes compared
Comparison with the Hooke spring plane
Results from first integrals
The paraboloid
The Hooke spring plane
Spherical dish
Rotation of the apsides
Numerical solutions
Problems
Exercises
Velocity and acceleration in spherical coordinates
Tranformation from cylindrical polar coordinates to spherical coordinates
Alternative forms in inertial space
Acceleration and Coriolis forces in rotating spherical coordinates
Trajectories on the surface of a gravitating sphere
Planer motion in spherical coordinates
Problems
Exercises
Huygen's rotating oblate earth
Approximate figure of the earth
Forces on a plumb bob
Computing the bulge
Novice particles on Huygen's spheroid
Free fall from a short tower
Calculation of the deflection of a falling particle in a rotating coordinate frame
Fall from a tower calculated in inertial space
Preliminary results regarding ellipses
Freely falling particle
Problems
Exercises
Some further thought about the exercises of chapter
Forced motion
Real forces relative to the rotating system
Balances among terms
Response of a particle to a force of the first type
Exercises
Refining the earth's platform
Deficiencies of the Huygen's spheroid
Combined centrifugal and gravitational potentials
The concept of a platform as an equipotential surface
Maclaurin's ellipsoid
Particle motions on the Maclaurin ellipsoid
Problem
Exercises
Concluding Materials
General References--other places to look
A vector derivation
Size of accelerations and forces in terrestrial fluids
Pressure gradiants
Appendix--The Compton generator
Historical background
Computation of flow in the Compton experiement
Do it yourself
The Compton generator
Computation (1) Rotating reference frame
Computation (2) As seen in intertial space
A Compton saves himself
Exercise
Epilogue--Sample of the screen: Example -