"Tides" Article - Table of Contents

I. ON THE NATURE OF TIDES
Part 1. Definition of Tides.
Part 2. General Description of Tidal Phenomena.
Part 3. General Explanation of the Cause of Tides.
Part 4. Historical Sketch.

II. TIDE-GENERATING FORCES
Part 5. Investigation of Tide-Generating Potential and Forces.
Part 6. Form of Equilibrium.
Part 7. Development of Tide-Generating Potential in Terms of Hour-Angle and Declination.
Part 8. Evaluation of Tide-Generating Forces, and Lunar Deflexion of Gravity.
Part 9. Correction to Equilibrium Theory for Continents.

III. DYNAMICAL THEORY OF TIDES
Part 10. Historical Explanation.
Part 11. Equations of Motion.
Part 12. Adaptation to Forced Oscillations.
Part 13. Preparation for Solution.
Part 14. Diurnal Tide.
Part 15. Semi-Diurnal Tide, with Variable Depth.
Part 16. Semi-Diurnal Tide, with Uniform Depth.
Part 17. Tides of Long Period; Laplace’s Argument from Friction.
Part 18. Tides of Long Period in an Ocean of Uniform Depth.
Part 19. Stability of the Ocean.
Part 20. Precession and Nutation.
Part 21. Some Phenomena of Tides in Rivers.

IV. HARMONIC ANALYSIS
Part 22. Methods of Applying Theory to Practice.
Part 23. Development of Equilibrium Theory of Tides in Terms of the Elements of the Orbits.
Part 24. Meteorological Tides, Over-Tides, and Compound Tides.
Part 25. On the Form of Presentation of Results of Tidal Observation.
Part 26. Numerical Harmonic Analysis for Tides of Short Period.
Part 27. Harmonic Analysis for Tides of Long Period.

V. SYNTHETIC METHOD
Part 28. On the Method and Notation.
Part 29. Semi-Diurnal Tides.
Part 30. Synthesis of Solar and of Lunar Portions of the Semi-Diurnal Tide.
Part 31. Synthesis of Lunar and Solar Semi-Diurnal Tides.
Part 32. Diurnal Tides.
Part 33. Explanation of Tidal Terms in Common Use; Datum Levels.
Part 34. On Reduction of Observations of High and Low Water.

VI. TIDAL INSTRUMENTS AND TIDAL PREDICTION
Part 35. General Remarks.
Part 36. The Tide Gauge.
Part 37. The Harmonic Analyser.
Part 38. The Tide-Predicting Instrument.
Part 39. Numerical Harmonic Analysis and Prediction.

VII. PROGRESS OF THE TIDE WAVE OVER THE SEA AND THE TIDES OF THE BRITISH SEAS
Part 40. Meaning of Cotidal Lines.
Part 41. Cotidal Lines of the World.
Part 42. Cotidal Lines of the British Seas.

VIII. TIDAL DEFORMATION OF THE SOLID EARTH
Part 43. Elastic Tides.
Part 44. Rigidity of the Earth.
Part 45. Viscous and Elastico-Viscous Tides.

IX. TIDAL FRICTION
Part 46. General Explanation.
Part 47. Exact Investigation of the Secular Effects of Tidal Friction.
Part 48. Amount of Tidal Retardation of Earth’s Rotation.
Part 49. Effects of Tidal Friction on the Elements of the Moon’s Orbit and on the Earth’s Rotation.

X. COSMOGONIC SPECULATIONS FOUNDED ON TIDAL FRICTION
Part 50. History of the Earth and Moon.
Part 51. The Other Planetary Sub-Systems.
Part 52. Influence of Tidal Friction on the Evolution of the Solar System.



The above article was written by George Howard Darwin, M.A., LL.S., D.Sc., F.R.S.; Plumian Professor of Astronomy and Experimental Philosophy, Cambridge; Fellow of Trinity College, Cambridge; author of "Memoir on the Effects of Tidal Friction on the Earth and on the Moon" in the Phil. Trans. Roy. Soc., The Tides and Kindred Phenomena in the Solar System, etc.