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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 · defined differential-force scale

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

Scale illustration of the Moon’s tidal force across Earth, showing the recorded defined differential-force scale.
Recorded defined differential-force scale: 6.6 × 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.

Scale

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.

6.6 × 10¹² MNDefined differential-force scale
0
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.

1.98 × 10¹⁴ MNMean-separation gravitational force
0
Bar length measures force in newtons. Mass and local gravity determine weight.
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.

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

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 →

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Recorded properties

Dimensions and measurements

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

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