Tidal forces of the Moon and the Sun
Calculate the gravitational and tidal forces of the Moon and the Sun, and determine the ratio relative to the Moon (at perigee).
Gravitational force is inversely proportional to the square of the distance, while tidal force is inversely proportional to the cube of the distance.
The Moon’s tidal force is approximately 2.2 times that of the Sun’s.
Due to the Moon’s elliptical orbit, the ratio of tidal forces at perigee to apogee is approximately 1.4.
The Moon’s tidal force is approximately 2.2 times that of the Sun’s.
Due to the Moon’s elliptical orbit, the ratio of tidal forces at perigee to apogee is approximately 1.4.
| \(\normalsize Gravitational\ force\hspace{30px}F={\large\frac{GMm}{r^2}}\\ Tide\ force\hspace{30px}T=-{\large\frac{dF}{dr}}R={\large\frac{2GMm}{r^3}}R\\ \hspace{110px}R:\ radius\ of\ the\ Earth\) |
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