The Dumaresq is a mechanical calculating device invented around 1902 by Lieutenant John Dumaresq

John Saumarez Dumaresq

Rear Admiral John Saumarez Dumaresq CB, CVO was an officer in the Royal Navy. He served during World War I but is most remembered as an inventor, for development of the device named after him, the Dumaresq, which helped users calculate the rate at which the range to an enemy ship was changing...

 of the Royal Navy

Royal Navy

The Royal Navy is the naval warfare service branch of the British Armed Forces. Founded in the 16th century, it is the oldest service branch and is known as the Senior Service...

.

The dumaresq is an analog computer

Analog computer

An analog computer is a form of computer that uses the continuously-changeable aspects of physical phenomena such as electrical, mechanical, or hydraulic quantities to model the problem being solved...

 which relates vital variables of the fire control problem to the movement of one's own ship and that of a target ship. It was often used with other devices, such as a Vickers range clock

Vickers range clock

The Vickers Range Clock was a clockwork device used by the Royal Navy for continuously calculating the range to an enemy ship.In 1903, Percy Scott described a device he'd invented which was similar to the Vickers clock. In April 1904, Vickers worked with Scott and patented their device, samples of...

 to generate range and deflection data so the gun sights of the ship could be continuously set.

A number of versions of the Dumaresq were produced of increasing complexity as development proceeded.

Geometric Principle

The dumaresq relies on sliding and rotating bars and dials to calculate the relative motion of the enemy ship and to convert this into a "range rate" (the component of motion along the line of bearing) and "dumaresq deflection" (or "speed across" .. the component perpendicular to the range rate). Because the dumaresq is an analog or model of the relative motion of the two ships, it does not intrinsically favor which of its settings is an input and which is an output. This allows it to be used "backwards" -- a process called a "cross cut" -- to take sequential estimates of the range and bearing of an enemy vessel and discover its speed and heading that would be consistent.

Mechanical Design

The design of the dumaresq consists of a circular dial with a cross-bar passing over the centre which is oriented to match the heading of one's own ship. A sliding assembly can be moved backwards along a scale etched on this bar to indicate the ship's speed in knots. Suspended below the slider is a second bar, which recorded the speed and heading of the enemy ship by rotating and sliding against a similar scale to that on the main cross-bar. The result of these two settings are such that the tip of the enemy bar records enemy movement minus own movement as a vector sum. This is equivalent to the relative motion of the target ship.

The base disc of the Dumaresq features a graph which can be rotated along the line of bearing. When so aligned, the axis along the line of bearing indicates the range rate and the perpendicular axis indicates speed across. A pointer stem dangling from the enemy ship bar allows the values to be easily read off in convenient units (in 1902, range rate was expressed as the number of seconds required for the range to alter 50 yards, but was soon standardised on yards per minute)

Mark I

The mark I Dumaresq was manufactured by Elliott Brothers, who paid for and obtained a patent on the device in the name of its inventor, John Dumaresq, in August 1904. By 1906 the device had been amended to add a rifle-like sight for directly obtaining a bearing to the target ship. By 1913 approximately 1000 devices of various versions had been purchased by the Royal Navy at a cost of £10,000.

Mark II

The mark II Dumaresq was the same as the Mark I, but larger and was in production by Elliotts by 1907. In 1909 it was proposed to add a compass ring to the dial plate, and another mounted on the cross bar for the enemy ship. This was added to a revised Mark II and Mark III versions.

Mark IV

The mark IV version was developed in 1910, intended to be used within a gun turret operating independently from the centralised fire control. The device cost £4.50.

Mark VI

This version included a hand wheel on the side, which rotated the dial plate, and with it the enemy bar. Relative direction of the enemy ship could be maintained to within a few degrees during a turn of the "own ship".

In 1908 Frederic Dreyer suggested an improvement, adding gears so that the enemy bar would alter direction automatically when the dial plate was rotated. This allowed an automatic correction of enemy direction as the home ship changed course. A similar "helm-free" Mark VI* model with a range and bearing clock and fixed dial plate permitted a gyrocompass input to automatically track own ship as it altered course, and was the one incorporated in the Dreyer Fire Control Table Mark III and III*. Such equipment was quite specialized to a larger fire control context.

The Electrical Dumaresq

This model is the zenith in complexity for the dumaresq, and was created for use in the most modern Dreyer tables of WW-I, the Mark IV and IV*. The electrical dumaresq's special features were very particular to its use in the Dreyer FCTs in which it was fitted, sitting atop a range clock. Like the Mark VI*, it was helm-free, a gyro applied own course continuously, and a bearing clock tried to keep the bearing plate set appropriately. Its new wrinkle was an elaborate electrical device which would, when engaged, continuously and automatically apply the indicated range rate to its range clock and convert the indicated speed-across to a gunnery deflection at the present range. These special accoutrements were overtaking the inherent complexity of the dumaresqs themselves.

Mark VIII

This dumaresq (as Admiralty pattern 5969A) lasted into service through WW-II. It was compact, had a fixed cross-bar and special gearing maintained enemy heading when alterations to own heading were made. All adjustments were manual on this model. A special graph spindle in the dial plate oriented along the speed-across axis could be spun to the present gun range and could quickly convert the speed-across to a gun deflection. That this was done by simple thumb work suggests that this dumaresq was meant to operate in the absence of advanced systems such as the Admiralty Fire Control Table

Admiralty Fire Control Table

thumb|Admiralty Fire Control Table in the transmitting station of [[HMS Belfast |HMS Belfast]].The Admiralty Fire Control Table was an electromechanical analogue computer fire-control system that calculated the correct elevation and deflection of a Royal Navy cruiser or battleships' main armament,...

 that was then in service.

Wind Dumaresq

Before World War I was over, a specialised dumaresq proposed by Captain FC Dreyer was incorporated into the Dreyer Fire Control Table alongside the main one to track and nullify the influence of cross-range winds on the shells as they flew toward the target. In the wind dumaresq, the vector bars subtracted own ship's motion from the real wind vector to produce the relative wind vector, which was called "wind you feel". A rolling spindle graph across the dial plate was spun to the present gun range and its markings indicated an additional correction to deflection to be applied to the gun sights in order to negate the crosswind's influence. This figure was read off by projecting the vector sum pipper to the roller graph.

Post WW-I

The more sophisticated dumaresqs slowly died out after WW-I, their functionality being manifested in other hardware. The design of the dumaresq was not well-suited to integration in larger schemes of automated fire control. A wind dumaresq, however, can still be found in the transmitting stations of HMS Belfast

HMS Belfast (C35)

HMS Belfast is a museum ship, originally a Royal Navy light cruiser, permanently moored in London on the River Thames and operated by the Imperial War Museum....

 and HMCS Sackville

HMCS Sackville (K181)

HMCS Sackville was a Flower-class corvette that served in the Royal Canadian Navy and later served as a civilian research vessel. She is now a museum ship located in Halifax, Nova Scotia and the last surviving Flower-class corvette.-Wartime service:...

. Simple dumaresqs of almost regressive simplicity continued to be issued through WW-II in auxiliaries and transports.

Mark XI

An example of the Spartan dumaresqs that survived beyond World War I, these were incredibly simple, with fixed cross-bars and an own-speed of 12 knots that could not be altered. The standard speed suggests it was intended for use in transport type ships in convoy. The dial plate lacks markings for range rate, implying the fire control staff of the ship would have no range clock at all and that this device was solely to give an idea of what deflection should be used on the gun sights. A further indication that these were to be used by less intensively trained personnel is that the dial plate helpfully features an image of a gun muzzle which is to be pointed toward the enemy ship.

Mark XII

These were nearly identical to the Mark XI model, but had range rate markings on its dial plate. It must have been for convoy vessels with at least a Vickers range clock whose rate could be set according to this indication.