Tidal Forces

Oceanography · Part 7

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Table of Contents

  1. 1.Gravitational Tidal Force Derivation
  2. 2.Tidal Potential
  3. 3.Spring and Neap Tides
  4. 4.Tidal Constituents and Harmonic Analysis
  5. 5.Solid Earth Tides and Ocean Loading
  6. 6.Python: Tidal Potential, Harmonic Analysis & Prediction
  7. 7.Fortran: Tidal Harmonic Analysis
  8. 8.Tidal Prediction and Practical Applications
  9. 9.Key Concepts Summary
  10. 10.Spring Tides

Key Equations

$$F_t = \frac{2GMmr}{R^3}$$
$$\frac{F_{\text{Moon}}}{F_{\text{Sun}}} = \frac{M_{\text{Moon}}}{M_{\text{Sun}}} \left(\frac{R_{\text{Sun}}}{R_{\text{Moon}}}\right)^3 \approx 2.18$$
$$U = \frac{GM}{R}\sum_{n=2}^{\infty}\left(\frac{r}{R}\right)^n P_n(\cos\theta)$$
$$U_2 = \frac{GM r^2}{R^3} P_2(\cos\theta) = \frac{GM r^2}{2R^3}(3\cos^2\theta - 1)$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Oceanography course on CoursesHub.World. Explore the science of the seas from physical and chemical properties to marine biology and climate interactions. Covers ocean circulation, waves and tides, marine ecosystems, seafloor geology, climat...

← Coastal Processes
Tidal Patterns →

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