Moon tidal force across Earth
The Moon tidal force across Earth is the difference in lunar gravitational pull between the near and far sides of the planet, which drives ocean tides.
Also known as: lunar tidal force on Earth
How big is it?
6.6 × 10¹² MN · defined differential-force scale
Defined differential-force scale · derived calculation
Typical recorded range: 6 × 10¹² MN to 7.2 × 10¹² MN.
A little perspective
Moon tidal force across Earth vs Earth gravitational pull on the Moon: weight comparison
Earth’s gravitational pull on the Moon is about 30 times the Moon’s tidal force across Earth.
FORCE
The Moon tidal force across Earth is the difference in lunar gravitational pull between the near and far sides of the planet, which drives ocean tides.
Earth’s gravitational pull on the Moon is the force that keeps the Moon in orbit around the Earth.
Measurements, assumptions & sources +
Moon tidal force across Earth
Defined differential-force scale: 6.6 × 10¹² MN; derived calculation; range 6 × 10¹² MN–7.2 × 10¹² MN.
Approximately 6.6 × 10¹⁸ N, a teaching scale formed by multiplying Earth’s mass by the near-to-centre lunar tidal-acceleration difference 2GMₘRₑ/r³. It is not the Moon’s total attraction on Earth and ignores solar tides and Earth deformation.
Defined examples — our methodology
The marked defined differential-force scale is calibrated. Unmeasured illustration details are representative.
Earth gravitational pull on the Moon
Mean-separation gravitational force: 1.98 × 10¹⁴ MN; derived; range 1.93 × 10¹⁴ MN–2.03 × 10¹⁴ MN.
Approximately 1.98 × 10²⁰ N, calculated with F = GMm/r² using JPL Earth and Moon masses and the 384,400 km mean centre-to-centre separation. The elliptical orbit changes the instantaneous force.
The marked mean-separation gravitational force is calibrated. Unmeasured illustration details are representative.
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Why this measurement?
Why we use 6.6 × 10¹² MN
We compare the Moon’s tidal force across Earth. This is calculated from stated inputs and assumptions, not a direct measurement. The recorded range is 6 × 10¹² MN to 7.2 × 10¹² MN.
Approximately 6.6 × 10¹⁸ N, a teaching scale formed by multiplying Earth’s mass by the near-to-centre lunar tidal-acceleration difference 2GMₘRₑ/r³. It is not the Moon’s total attraction on Earth and ignores solar tides and Earth deformation.
The picture identifies the subject; the diagram compares the recorded values. How calibrated comparisons work →
Recorded properties
Dimensions and measurements
| Property | Selected value | Recorded range | Basis |
|---|---|---|---|
| 6.6 × 10¹² MN | 6 × 10¹² MN to 7.2 × 10¹² MN | derived calculation |
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Sources and method
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