Simulating the rise and fall of ocean tides

Tide Predicting Machines are intricate analogue computers designed to simulate and forecast the rise and fall of ocean tides. Built between 1872 and 1964, these rare and complex devices use a system of precisely engineered pulleys and gears.

Each pulley represents a different harmonic constant—a component of the tide's motion—and a wire wound over them sums their movements to draw a continuous curve of the total predicted tide for a specific location.Only about thirty of these beautiful brass machines were ever made.

They were rendered obsolete in the 1960s by the arrival of digital computers, which could perform the calculations far more quickly.

How do tide predicting machines work?

The process of predicting a tide with one of these machines involves three main steps:

1. Data Collection

First, water levels at a specific location must be recorded for at least a year to capture the full tidal pattern. You can see modern examples of this data from the UK National Tide Gauge Network.

2. Harmonic Analysis

The recorded data is then mathematically broken down into its fundamental harmonic components using a process called Fourier Analysis. The machine is "programmed" by adjusting the settings of its wheels and pulleys to match the amplitude and phase of each of these components.

3. Prediction

Once programmed, the machine is run. By turning a crank, it mechanically calculates and draws a curve representing the tide for any period—past, present, or future.

What was their strategic role in World War II?

What was their strategic role in World War II?

Tidal predictions were of critical strategic importance during World War II.

In 1940, the machines were used to forecast the most likely dates for the German invasion of Britain, known as Operation Sea Lion. The British Admiralty identified periods of high tide near dawn, which would have been most favourable for a seaborne landing, and reinforced coastal defences accordingly.

Later in the war, the machines played a vital offensive role. Accurate tidal predictions for the coast of Normandy were indispensable for planning the D-Day Landings. The invasion's success depended on having the right tidal conditions to allow landing craft to navigate obstacles and disembark troops effectively.

Where can you see these machines today?

Two magnificent examples—the Doodson-Légé machine and the Roberts-Légé machine are on public display at the National Oceanography Centre in Liverpool. They are the centrepiece of a special exhibition titled "Tide and Time," which explores the crucial role of tidal science in Liverpool's history as a major port.

For more information and to plan your visit, see the exhibition website. The machines are owned by National Museums Liverpool.

Dive Deeper: Tide Predicting Machines Video Resources

Check out some incredible archive footage of the tide predicting machines in action, and find out more about the history of their 20th century home - Bidston Observatory.

Archive Footage: Tide Predicting Machine (Part 1)

Archive Footage: Tide Predicting Machine (Part 1)

Archive Footage: Tide Predicting Machine (Part 2)

Archive Footage: Tide Predicting Machine (Part 2)

Assembly of the Doodson-Légé Machine

Assembly of the Doodson-Légé Machine

Tide & Time: A History of Tidal Science in Liverpool

Tide & Time: A History of Tidal Science in Liverpool

The History of Bidston Observatory (Part 1)

The History of Bidston Observatory (Part 1)

The History of Bidston Observatory (Part 2)

The History of Bidston Observatory (Part 2)

Tide & Time Exhibition In Liverpool

In partnership with National Museums Liverpool and housed at the National Oceanography Centre in Liverpool, the Tide & Time Exhibition tells the story of the history of tidal science in Liverpool. Their website has a range of resources and historical information about Liverpool including Tide Predicting Machines, Bidston Observatory and more.