The tide in the stoneROEN

London −8.0 cm
12:00

The tide in the stone

The ground rises and falls twice a day, cities and all

Right now the ground under London is at −8.0 cm from its usual level and sinking at 0.3 mm a minute.

Since you opened this page, you have risen 0 µm, chair and all.

The distance is measured from the centre of the Earth. Your street, your house and the land for thousands of kilometres around move with you, which is why nobody feels a thing. The ground is pulled by the Moon and the Sun, just like the oceans.

Scroll: the globe is turned towards you ↓

Your day, drawn by the Moon#

Today, Saturday 31 October, the ground under London travels 29 cm between its lowest and highest points. It is highest at 03:41 (+20 cm) and lowest at 14:18 (−9 cm).

Height of the ground against its average, in your time (Europe/London). Dotted line: now.

The Moon stretches the whole Earth: one bulge under it and one on the far side. The planet turns through both in a lunar day, 24 hours and 50 minutes, so there are usually two crests a day, each about 50 minutes later than yesterday’s. When the Moon stands far from the equator, one of them passes you much lower and is sometimes barely there.

The rock answers almost at once: it lags the Moon by about 0.2 degrees of the cycle, under half a minute.

A wave of stone crosses Europe#

The crests do not stay put. They slide west with the Moon, across the whole continent at once. On the map, time now runs 1,800 times faster: half an hour a second.

The crest reaches Belfast about 30 minutes after Norwich. From Bucharest to London, 2,091 km, it takes 1 h 49 min on average.

The lines are drawn every 2 centimetres: gold where the ground is above its average, blue where it is below. You can also tap the map to choose your town.

Move the Moon#

Drag across the globe: the Moon moves over the place you touch, and the rock follows. Under the Moon the ground rises; 90 degrees away, on a whole circle, it sinks; on the far side of the planet it rises again.

The real Moon never goes beyond about the 28.7° parallel, north or south, so you cannot take it further here either. The button at the corner of the globe puts it back where it is now.

The Sun stretches too, about half as hard#

The Sun is 27 million times more massive than the Moon, but it is almost 390 times further away, and the force that stretches the Earth falls with the cube of distance. That leaves it about 46 per cent of the Moon’s stretching force.

When the Sun and Moon are in line, at new Moon and full Moon, their crests add up. At right angles, they partly cancel.

The next 30 days, same town.

The day with the most movement in the next 30: 24 November 2026, 43 cm. The quietest: 18 November 2026, 14 cm.

Why nobody feels a thing#

Because the wave is enormous. From a crest to the trough beside it is a quarter of the Earth’s circumference, about 10,000 kilometres. Over that distance, a few tens of centimetres make a slope no body can feel.

In Bucharest in November 2026, the steepest slope reaches 87 nanoradians: along a kilometre of street, one end rises against the other by at most 87 micrometres, under a tenth of a millimetre. The ground also moves sideways: over the 18.6-year cycle, by up to 8 cm, again unfelt.

As for weight: at CERN, gravity varied with the tide by about a quarter of a millionth. For a 70 kg person that is about 18 milligrams on the scales between the lightest and the heaviest moment.

How far the ground rises depends on how elastic the planet is. Geophysicists capture it in one number, h₂: how far the ground rises compared with an ideal ocean in balance with the Moon on a rigid Earth. For the real Earth, h₂ is about 0.61. A perfectly rigid planet would not move at all.

1914: a tide in a pipe#

At Yerkes Observatory in Wisconsin, Albert Michelson and his colleagues buried two 500-foot pipes (152 m), one north–south and one east–west, 6 inches across, six feet underground, and half filled them with water. The results appeared in March 1914. The water in a pipe has its own tide: when the Moon pulls, it gathers towards one end.

152 m6-inch pipe, half full of waterground surfacepitpit 6 ft
Schematic; the water’s tilt is exaggerated hundreds of thousands of times.

Had the Earth been perfectly rigid, the water would have tilted against the pipe by a certain amount, easy to calculate. It came out less: in the 1916–17 repeat, read with interferometers, 0.690 of the rigid-Earth value. The difference came from the Earth deforming: the ground tilted too, by about 0.6 of the calculated amount, while the deformed Earth’s own extra pull gave back about 0.3. Michelson wrote in 1914 that the Earth’s rigidity is “greater than that of steel”.

The records were cut into 12.42-hour slices, half a lunar day, and the water rose and fell in step with them.

1992: the Moon enters the accelerator#

At CERN, near Geneva, the LEP ring was 26.7 km round. The physicists measuring its beam energy saw variations in 1991 that the magnets’ temperature did not explain. An earlier hunch proved right: the tides of the Moon and Sun.

26.7 km± ~1 mm
Schematic; the ring’s stretch is exaggerated.

The stone tide moves the ground there up and down by a few tens of centimetres (the calculations of the time gave up to about 25 cm from the average) and stretches the crust: the ring’s circumference changes by about 4 parts in a hundred million, roughly a millimetre. With that year’s magnet settings, that was enough to swing the particles’ energy by up to about 220 parts per million, end to end. On 11 November 1992 a 24-hour measurement followed it: the points drew the tide’s two humps, as the calculation had predicted.

London: the river and the rock#

At London Bridge, the Thames rises and falls about 6.6 m at spring tides. The ground under London moves too, by about 24 cm on a typical day and up to 45 cm, but no tide gauge sees it: the gauge is fixed to the bank, and the bank rises with it.

Near the Atlantic there is a third movement. The weight of the ocean’s own tide presses the rock down and lets it spring back. In Cornwall this ocean loading reaches 4.5 cm in amplitude for the main twice-daily tide, and GPS stations measure it. The numbers on this page leave it out: they are the body tide alone.

The day you were born#

Enter the date, and the time if you know it. The page works out how the ground under London moved that day. Nothing leaves your device.

Pick a date to see the day.

When you are highest#

In the next 24 hours, the ground under London is highest tomorrow at

04:55

You will then be at +16 cm from the usual level, 24 cm higher than now, bed, house and town and all. Nobody around you will notice. Permanent GPS stations will record the movement, as they do every day, and the people who use them subtract it from their measurements as a movement known in advance.

How it is calculated#

The page uses the solid Earth tide model of the IERS Conventions (chapter 7), the standard used to correct GPS, VLBI and laser positions worldwide, as implemented in Dennis Milbert’s program solid. The program was ported to JavaScript and checked against the Fortran original (through the pysolid library) in 534 cases between 1950 and 2049 (the original program is valid for 1901–2099, the range of the birthday calculator): the largest difference is 5 millionths of a micrometre. Everything is computed on your device; the place and date you enter go nowhere.

Height is the vertical displacement against the Earth’s centre of mass. The model also contains a constant part, the permanent tide, which at London’s latitude keeps the ground about 5 cm lower on average; the page subtracts it, so zero is the ground’s average position where you are. The fixed numbers in the text (for example 24 cm, London’s typical daily movement, and at most 45 cm) come from the same model, computed every 10 minutes for 2026–2044, a full 18.6-year cycle of the Moon’s orbit. The crest’s travel times come from a separate minute-by-minute run over November–December 2026, and the slope of the ground from an hourly run over November 2026.

On the globe and the map, the lines show the main term of the tide, with the Moon and Sun where they really are or where you put them; the figures beside towns come from the full model. At European latitudes they can differ by up to about 1.7 cm.

Where the calculation stops: the model describes the tide of the Earth’s body. Near oceans with large tides, the weight of the water adds a few centimetres (up to 4.5 cm in Cornwall); air pressure and groundwater add millimetres, rarely more than a centimetre. The page leaves them out. Times are your device’s.

Relief: AWS Terrain Tiles (Mapzen data from SRTM, GMTED and ETOPO1). Places: GeoNames and OpenStreetMap, with names from Wikidata.

More on the site#

Sources#

  • Petit, G. & Luzum, B. (eds.) 2010. IERS Conventions (2010), IERS Technical Note 36, ch. 7. iers-conventions.obspm.fr
  • Milbert, D. solid: solid Earth tide program (via PySolid, Yunjun et al. 2022). github.com
  • Agnew, D. C. 2007. Earth Tides. Treatise on Geophysics, vol. 3, 163–195. booksite.elsevier.com
  • Michelson, A. A. 1914. Preliminary results of measurements of the rigidity of the Earth. Astrophys. J. 39, 105. articles.adsabs.harvard.edu
  • Michelson, A. A. & Gale, H. G. 1919. The rigidity of the Earth. Astrophys. J. 50, 330–345. articles.adsabs.harvard.edu
  • Arnaudon, L. et al. 1993. Effects of tidal forces on the beam energy in LEP. Proc. PAC 1993, 44–46. proceedings.jacow.org
  • Medvedev, I. P., Rabinovich, A. B. & Kulikov, E. A. 2016. Tides in three enclosed basins: the Baltic, Black and Caspian seas. Front. Mar. Sci. 3:46. www.frontiersin.org
  • Port of London Authority. Tide Booklet 2026 (London Bridge levels). pla.co.uk
  • Bos, M. S., Penna, N. T., Baker, T. F. & Clarke, P. J. 2015. Ocean tide loading displacements in western Europe: 2. JGR Solid Earth 120, 6540–6557. doi.org
  • AWS Terrain Tiles (Mapzen). registry.opendata.aws