Gravity and force

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 of force

Defined differential-force scale · derived calculation
Typical recorded range: 6 × 10¹² MN to 7.2 × 10¹² MN.

Scale illustration of Moon tidal force across Earth, calibrated to its defined differential-force scale measurement.
The marked defined differential-force scale represents 6.6 × 10¹² MN.

A little perspective

Earth gravitational pull on the Moon is about 30 times larger on this measurement.

Earth gravitational pull on the Moon: Earth’s gravitational pull on the Moon is the force that keeps the Moon in orbit around the Earth.

Linear measure
FORCE6.6 × 10¹² MN1.98 × 10¹⁴ MN
01
Moon tidal force across Earth6.6 × 10¹² MNDefined differential-force scale
02
Earth gravitational pull on the Moon1.98 × 10¹⁴ MNMean-separation gravitational force
Bar length measures force in newtons. Mass and local gravity determine weight.
Measurements, assumptions & sources +

Moon tidal force across Earth

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

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.

NASA — Moon facts

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

For comparison, this page uses defined differential-force scale. The record labels the measurement derived calculation; that status is retained wherever the value is compared. 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 identifying illustration and the numerical comparison remain separate. How calibrated comparisons work →

Explore gravity and force →

Recorded properties

Moon tidal force across Earth dimensions and measurements

PropertySelected valueRecorded rangeBasis
6.6 × 10¹² MN6 × 10¹² MN to 7.2 × 10¹² MNderived calculation

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Sources and method

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