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#
- The Earth rang like a bell: after the 2004 earthquake the planet vibrated for weeks.
- The Moon is leaving: pushed by the tides, the Moon drifts away by 38 mm a year.
- The moving city: Romania’s permanent GPS stations and how each town drifts.
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