
Navigation is a field of study that focuses on the process of monitoring and controlling the
movement of a craft or
vehicle
A vehicle () is a machine designed for self-propulsion, usually to transport people, cargo, or both. The term "vehicle" typically refers to land vehicles such as human-powered land vehicle, human-powered vehicles (e.g. bicycles, tricycles, velo ...
from one place to another.
[Bowditch, 2003:799.] The field of navigation includes four general categories: land navigation,
marine navigation
Marine navigation is the art and science of steering a ship from a starting point (sailing) to a destination, efficiently and responsibly. It is an art because of the skill that the navigator must have to avoid the dangers of navigation, and it ...
,
aeronautic navigation, and space navigation.
It is also the term of art used for the specialized knowledge used by
navigator
A navigator is the person on board a ship or aircraft responsible for its navigation.Grierson, MikeAviation History—Demise of the Flight Navigator FrancoFlyers.org website, October 14, 2008. Retrieved August 31, 2014. The navigator's prim ...
s to perform navigation tasks.
All navigational techniques involve locating the navigator's
position compared to known locations or patterns. Navigation, in a broader sense, can refer to any skill or study that involves the determination of position and
direction.
In this sense, navigation includes
orienteering
Orienteering is a group of sports that involve using a map and compass to navigation, navigate from point to point in diverse and usually unfamiliar terrain whilst moving at speed. Participants are given a topographical map, usually a specia ...
and
pedestrian
A pedestrian is a person traveling on foot, by wheelchair or with other mobility aids. Streets and roads often have a designated footpath for pedestrian traffic, called the '' sidewalk'' in North American English, the ''pavement'' in British En ...
navigation.
For marine navigation, this involves the safe movement of ships, boats and other nautical craft either on or underneath the water using positions from navigation equipment with appropriate nautical charts (electronic and paper).
Navigation equipment for ships is mandated under the requirements of the
SOLAS Convention
The International Convention for the Safety of Life at Sea (SOLAS) is an international maritime treaty which sets out minimum safety standards in the construction, equipment and operation of merchant ships. The International Maritime Organizat ...
, depending on ship size.
For land navigation, this involves the movement of persons, animals and vehicles from one place to another by means of navigation equipment (such as a compass or GNSS receivers), maps and visual navigation marks across urban or rural environments.
Aeronautic (air) navigation involves piloting an aircraft from one geographic position to another position while monitoring the position as the flight progresses.
Etymology
The term stems from the 1530s, from
Latin
Latin ( or ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally spoken by the Latins (Italic tribe), Latins in Latium (now known as Lazio), the lower Tiber area aroun ...
''navigationem'' (nom. ''navigatio''), from ''navigatus'', pp. of ''navigare'' "to sail, sail over, go by sea, steer a ship," from ''navis'' "ship" and the root of ''agere'' "to drive".
History
Polynesian navigation
Polynesian navigation or Polynesian wayfinding was used for thousands of years to enable long voyages across thousands of kilometres of the Pelagic zone, open Pacific Ocean. Polynesians made contact with nearly every island within the vast Poly ...
is probably the earliest form of open-ocean navigation; it was based on memory and observation recorded on scientific instruments like the
Marshall Islands Stick Charts of Ocean Swells. Early Pacific Polynesians used the motion of stars, weather, the position of certain wildlife species, or the size of waves to find the path from one island to another.
Among the first proper navigational instruments was the
compass
A compass is a device that shows the cardinal directions used for navigation and geographic orientation. It commonly consists of a magnetized needle or other element, such as a compass card or compass rose, which can pivot to align itself with No ...
, with one of the oldest
Chinese in origin from the
Han dynasty
The Han dynasty was an Dynasties of China, imperial dynasty of China (202 BC9 AD, 25–220 AD) established by Liu Bang and ruled by the House of Liu. The dynasty was preceded by the short-lived Qin dynasty (221–206 BC ...
(since c. 206 BC).
[ Li Shu-hua, p. 176] The compass was later adopted for sea navigation by the
Song dynasty
The Song dynasty ( ) was an Dynasties of China, imperial dynasty of China that ruled from 960 to 1279. The dynasty was founded by Emperor Taizu of Song, who usurped the throne of the Later Zhou dynasty and went on to conquer the rest of the Fiv ...
Chinese during the 11th century.
[ Kreutz, p. 367][Needham, Joseph (1986) ''Science and civilisation in China'', Vol. 4: "Physics and physical technology", Pt. 1: "Physics", Taipei. p. 252 Caves Books, originally publ. by Cambridge University Press (1962), ][ Li Shu-hua, p. 182f.] The first usage of a compass recorded in
Western Europe
Western Europe is the western region of Europe. The region's extent varies depending on context.
The concept of "the West" appeared in Europe in juxtaposition to "the East" and originally applied to the Western half of the ancient Mediterranean ...
and the
Islamic world
The terms Islamic world and Muslim world commonly refer to the Islamic community, which is also known as the Ummah. This consists of all those who adhere to the religious beliefs, politics, and laws of Islam or to societies in which Islam is ...
occurred around 1190.
Maritime navigation using scientific instruments such as the
mariner's astrolabe
The mariner's astrolabe, also called sea astrolabe, was an inclinometer used to determine the latitude of a ship at sea by measuring the sun's noon altitude (declination) or the meridian altitude of a star of known declination. Not an astrolabe ...
first occurred in the Mediterranean during the Middle Ages. Although
land astrolabes were invented in the
Hellenistic period
In classical antiquity, the Hellenistic period covers the time in Greek history after Classical Greece, between the death of Alexander the Great in 323 BC and the death of Cleopatra VII in 30 BC, which was followed by the ascendancy of the R ...
and existed in
classical antiquity
Classical antiquity, also known as the classical era, classical period, classical age, or simply antiquity, is the period of cultural History of Europe, European history between the 8th century BC and the 5th century AD comprising the inter ...
and the
Islamic Golden Age
The Islamic Golden Age was a period of scientific, economic, and cultural flourishing in the history of Islam, traditionally dated from the 8th century to the 13th century.
This period is traditionally understood to have begun during the reign o ...
, the oldest record of a sea astrolabe is that of
Spanish astronomer
Ramon Llull
Ramon Llull (; ; – 1316), sometimes anglicized as ''Raymond Lully'', was a philosopher, theologian, poet, missionary, Christian apologist and former knight from the Kingdom of Majorca.
He invented a philosophical system known as the ''Art ...
dating from 1295.
[''The Ty Pros Companion to Ships and the Sea'', Peter Kemp ed., 1976 ] The perfecting of this navigation instrument is attributed to
Portuguese navigators during early
Portuguese discoveries in the
Age of Discovery
The Age of Discovery (), also known as the Age of Exploration, was part of the early modern period and overlapped with the Age of Sail. It was a period from approximately the 15th to the 17th century, during which Seamanship, seafarers fro ...
.
The earliest known description of how to make and use a sea astrolabe comes from Spanish cosmographer
Martín Cortés de Albacar's ''Arte de Navegar'' (''The Art of Navigation'') published in 1551,
[Swanick, Lois Ann. ''An Analysis Of Navigational Instruments In The Age Of Exploration: 15th Century To Mid-17th century'', MA Thesis, Texas A&M University, December 2005] based on the principle of the
archipendulum used in constructing the
Egyptian pyramids
The Egyptian pyramids are ancient masonry structures located in Egypt. Most were built as tombs for the pharaohs and their consorts during the Old Kingdom of Egypt, Old and Middle Kingdom of Egypt, Middle Kingdom periods. At least 138 identi ...
. However, the first altitude measuring instrument to navigate extensively used at sea was the
quadrant.
[Williams, 1992:35] This was reintroduced by Leonardo of Pisa in the 13th century.
Its first recorded use was in 1461 by
Diogo Gomes
Diogo Gomes () was a Portuguese navigator, explorer and writer.
Diogo Gomes was a servant and explorer of Portuguese prince, Henry the Navigator. His memoirs were dictated late in his life to Martin Behaim. They are an invaluable (if sometimes ...
.
As well as astrolabes and quadrants, the first
cross-staff used in navigation was known from the 14th century onwards, believed to have come from early Arab navigators.
[Williams, 1992:37] However, it had many errors and was also difficult to use as it required squinting at the sun.
These disadvantages were overcome with the invention of the
backstaff in 1595 by
John Davis.
Widespread open-seas navigation using the astrolabe, quadrant, backstaff and the
compass
A compass is a device that shows the cardinal directions used for navigation and geographic orientation. It commonly consists of a magnetized needle or other element, such as a compass card or compass rose, which can pivot to align itself with No ...
started during the Age of Discovery in the 15th century. The Portuguese began systematically exploring the
Atlantic
The Atlantic Ocean is the second largest of the world's five oceanic divisions, with an area of about . It covers approximately 17% of Earth's surface and about 24% of its water surface area. During the Age of Discovery, it was known for se ...
coast of
Africa
Africa is the world's second-largest and second-most populous continent after Asia. At about 30.3 million km2 (11.7 million square miles) including adjacent islands, it covers 20% of Earth's land area and 6% of its total surfac ...
from 1418, under the sponsorship of
Prince Henry. In 1488
Bartolomeu Dias
Bartolomeu Dias ( – 29 May 1500) was a Portuguese mariner and explorer. In 1488, he became the first European navigator to round the Cape Agulhas, southern tip of Africa and to demonstrate that the most effective southward route for ships lies ...
reached the
Indian Ocean
The Indian Ocean is the third-largest of the world's five oceanic divisions, covering or approximately 20% of the water area of Earth#Surface, Earth's surface. It is bounded by Asia to the north, Africa to the west and Australia (continent), ...
by this route. In 1492 the
Spanish monarchs funded
Christopher Columbus
Christopher Columbus (; between 25 August and 31 October 1451 – 20 May 1506) was an Italians, Italian explorer and navigator from the Republic of Genoa who completed Voyages of Christopher Columbus, four Spanish-based voyages across the At ...
's expedition to sail west to reach the
Indies
The East Indies (or simply the Indies) is a term used in historical narratives of the Age of Discovery. The ''Indies'' broadly referred to various lands in the East or the Eastern Hemisphere, particularly the islands and mainlands found i ...
by crossing the Atlantic, which resulted in the
Discovery of the Americas. In 1498, a Portuguese expedition commanded by
Vasco da Gama
Vasco da Gama ( , ; – 24 December 1524), was a Portuguese explorer and nobleman who was the Portuguese discovery of the sea route to India, first European to reach India by sea.
Da Gama's first voyage (1497–1499) was the first to link ...
reached
India
India, officially the Republic of India, is a country in South Asia. It is the List of countries and dependencies by area, seventh-largest country by area; the List of countries by population (United Nations), most populous country since ...
by sailing around Africa, opening up direct trade with
Asia
Asia ( , ) is the largest continent in the world by both land area and population. It covers an area of more than 44 million square kilometres, about 30% of Earth's total land area and 8% of Earth's total surface area. The continent, which ...
. Soon, the Portuguese sailed further eastward, to the
Spice Islands in 1512, landing in
China
China, officially the People's Republic of China (PRC), is a country in East Asia. With population of China, a population exceeding 1.4 billion, it is the list of countries by population (United Nations), second-most populous country after ...
one year later. The first circumnavigation of the earth was completed in 1522 with the
Magellan-Elcano expedition, a Spanish voyage of discovery led by Portuguese explorer
Ferdinand Magellan and completed by Spanish navigator
Juan Sebastián Elcano after the former's death in the
Philippines
The Philippines, officially the Republic of the Philippines, is an Archipelagic state, archipelagic country in Southeast Asia. Located in the western Pacific Ocean, it consists of List of islands of the Philippines, 7,641 islands, with a tot ...
in 1521.
For sailing ships, other developments took place with
charting and methods to record courses.
[Williams, 1992:30] One of the oldest surviving marine charts is the Carta Pisana, drawn on a sheepskin, dating to 1275.
[Williams, 1992:28] On land, improvements in the production of
maps
A map is a symbolic depiction of interrelationships, commonly spatial, between things within a space. A map may be annotated with text and graphics. Like any graphic, a map may be fixed to paper or other durable media, or may be displayed on ...
led to improved navigation by armies, traders and other travellers.
For sailing ships, navigation by
dead reckoning
In navigation, dead reckoning is the process of calculating the current position of a moving object by using a previously determined position, or fix, and incorporating estimates of speed, heading (or direction or course), and elapsed time. T ...
requires frequent recording of course changes and the ship tacks with the wind.
To prevent paper charts, which were expensive and in the early days, rare, from being worn out, other methods were used, including the
Traverse board and traverse tables (the oldest traverse tables, dates back to 1428).
Quadrants were further developed by inventors such as
Robert Hooke
Robert Hooke (; 18 July 16353 March 1703) was an English polymath who was active as a physicist ("natural philosopher"), astronomer, geologist, meteorologist, and architect. He is credited as one of the first scientists to investigate living ...
,
Isaac Newton
Sir Isaac Newton () was an English polymath active as a mathematician, physicist, astronomer, alchemist, theologian, and author. Newton was a key figure in the Scientific Revolution and the Age of Enlightenment, Enlightenment that followed ...
and
John Hadley
John Hadley (16 April 1682 – 14 February 1744) was an England, English mathematician, and laid claim to the invention of the octant (instrument), octant, two years after Thomas Godfrey (inventor), Thomas Godfrey claimed the same.
Biograp ...
leading to the invention of the
octant.
[Williams, 1992:96-97]
Harrison's Chronometer H5 of 1772, now on display at the ">Science Museum, London
Developments in mathematics were also important in the history of navigation.
[Williams, 1992:41] These include initially
meridional parts, then developments in
spherical trigonometry
Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the edge (geometry), sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, ge ...
and
logarithms
In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of to base is , because is to the rd power: . More generally, if , the ...
enabled navigators from the 1700s onwards to navigate more accurately.
On land, mathematical and new instruments led to developments in
Surveying
Surveying or land surveying is the technique, profession, art, and science of determining the land, terrestrial Plane (mathematics), two-dimensional or Three-dimensional space#In Euclidean geometry, three-dimensional positions of Point (geom ...
and
triangulation
In trigonometry and geometry, triangulation is the process of determining the location of a point by forming triangles to the point from known points.
Applications
In surveying
Specifically in surveying, triangulation involves only angle m ...
which further improved maps, as well as the construction of better roads, paths, canals and eventually railways.
Development of an accurate
marine chronometer
A marine chronometer is a precision timepiece that is carried on a ship and employed in the determination of the ship's position by celestial navigation. It is used to determine longitude by comparing Greenwich Mean Time (GMT), and the time at t ...
under
John Harrison and others ensured accurate timekeeping for calculating
longitude
Longitude (, ) is a geographic coordinate that specifies the east- west position of a point on the surface of the Earth, or another celestial body. It is an angular measurement, usually expressed in degrees and denoted by the Greek lett ...
.
[Williams, 1992:81] Further improvements in ocean navigation led to the first proper
sextant in 1757, the parts and usage developed by various inventors including
Pierre Vernier
Pierre Vernier (; 19 August 1580 at Ornans, Franche-Comté (at that time ruled by the Spanish Habsburgs, now part of France) – 14 September 1637, same location) was a mathematician and instrument inventor. He was the inventor and eponym o ...
and
John Campbell.
[Williams, 1992:98] Various methods for calculation with sextant and chronometer evolved over time, beginning with the Duller method (1728) but reached their most accessible with the Douwes method (1821), the Sumner method (1837), modified by Henry Raper (1844) and the Marc St Hilaire or
intercept method (1877).
[Williams, 1992:110-114] Modifications to the magnetic compass and better methods of determining course were also important, include developments in the compass by
Matthew Flinders
Captain (Royal Navy), Captain Matthew Flinders (16 March 1774 – 19 July 1814) was a British Royal Navy officer, navigator and cartographer who led the first littoral zone, inshore circumnavigate, circumnavigation of mainland Australia, then ...
,
Lord Kelvin
William Thomson, 1st Baron Kelvin (26 June 182417 December 1907), was a British mathematician, Mathematical physics, mathematical physicist and engineer. Born in Belfast, he was the Professor of Natural Philosophy (Glasgow), professor of Natur ...
and others.
[Williams, 1992:132-135]
The sextant, together with the chronometer, compass and astronomical calculations became the most widely used methods of maritime navigation until developments in the 20th century with
radio-navigation and
gyrocompasses.
These in turn were superseded with the advent of computers,
electronic calculator
An electronic calculator is typically a portable Electronics, electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics.
The first solid-state electronic calculator was created in the early 1960s. ...
s and later
satellite navigation
A satellite navigation or satnav system is a system that uses satellites to provide autonomous geopositioning. A satellite navigation system with global coverage is termed global navigation satellite system (GNSS). , four global systems are ope ...
in the 20th century.
[Williams, 1992:198] On land, the development of handheld
GPS occurred in the 1980s and with the advent of smartphones, with in-build compassess and satellite receivers, navigation is now widely achieved through technology globally.
Basic concepts
In terrestrial navigation, the location of a person, ship, plane, etc is defined as a position using a reference point/coordinates (see
Cartesian coordinate system
In geometry, a Cartesian coordinate system (, ) in a plane (geometry), plane is a coordinate system that specifies each point (geometry), point uniquely by a pair of real numbers called ''coordinates'', which are the positive and negative number ...
). Positions can either be referenced as latitude/longitude or a distance and
direction from a fixed reference point (
bearing).
Lines of position can be derived from a variety of methods and equipment. By determining and monitoring positions it is possible to find and direct a person, ship, plane, etc in a scientific way from one place to another.
This often involves the use of
maps
A map is a symbolic depiction of interrelationships, commonly spatial, between things within a space. A map may be annotated with text and graphics. Like any graphic, a map may be fixed to paper or other durable media, or may be displayed on ...
or
charts from which if desired, courses can be calculated or followed depending on the projection or methods used (
Rhumb line,
Great circle
In mathematics, a great circle or orthodrome is the circular intersection of a sphere and a plane passing through the sphere's center point.
Discussion
Any arc of a great circle is a geodesic of the sphere, so that great circles in spher ...
, etc).
Latitude
Roughly, the latitude of a place on Earth is its angular distance north or south of the
equator
The equator is the circle of latitude that divides Earth into the Northern Hemisphere, Northern and Southern Hemisphere, Southern Hemispheres of Earth, hemispheres. It is an imaginary line located at 0 degrees latitude, about in circumferen ...
.
[Bowditch, 2003:4.] Latitude is usually expressed in
degrees (marked with °) ranging from 0° at the
Equator
The equator is the circle of latitude that divides Earth into the Northern Hemisphere, Northern and Southern Hemisphere, Southern Hemispheres of Earth, hemispheres. It is an imaginary line located at 0 degrees latitude, about in circumferen ...
to 90° at the North and South poles.
The latitude of the
North Pole
The North Pole, also known as the Geographic North Pole or Terrestrial North Pole, is the point in the Northern Hemisphere where the Earth's rotation, Earth's axis of rotation meets its surface. It is called the True North Pole to distingu ...
is 90° N, and the latitude of the
South Pole
The South Pole, also known as the Geographic South Pole or Terrestrial South Pole, is the point in the Southern Hemisphere where the Earth's rotation, Earth's axis of rotation meets its surface. It is called the True South Pole to distinguish ...
is 90° S.
Mariners calculated latitude in the Northern Hemisphere by sighting the
pole star (
Polaris
Polaris is a star in the northern circumpolar constellation of Ursa Minor. It is designated α Ursae Minoris (Latinisation of names, Latinized to ''Alpha Ursae Minoris'') and is commonly called the North Star or Pole Star. With an ...
) with a
sextant and using sight reduction tables to correct for height of eye and atmospheric refraction. The height of Polaris in degrees above the horizon is the latitude of the observer, within a degree or so.
Longitude
Similar to latitude, the longitude of a place on Earth is the angular distance east or west of the
prime meridian
A prime meridian is an arbitrarily chosen meridian (geography), meridian (a line of longitude) in a geographic coordinate system at which longitude is defined to be 0°. On a spheroid, a prime meridian and its anti-meridian (the 180th meridian ...
or
Greenwich meridian.
Longitude is usually expressed in
degrees (marked with °) ranging from
0° at the Greenwich meridian to
180° east and west.
Sydney
Sydney is the capital city of the States and territories of Australia, state of New South Wales and the List of cities in Australia by population, most populous city in Australia. Located on Australia's east coast, the metropolis surrounds Syd ...
, for example, has a longitude of about
151° east.
New York City
New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's largest natural harbors. The city comprises five boroughs, each coextensive w ...
has a longitude of
74° west. For most of history, mariners struggled to determine longitude. Longitude can be calculated if the precise time of a sighting is known. Lacking that, one can use a
sextant to take a
lunar distance (also called ''the lunar observation'', or "lunar" for short) that, with a
nautical almanac, can be used to calculate the time at zero longitude (see
Greenwich Mean Time
Greenwich Mean Time (GMT) is the local mean time at the Royal Observatory, Greenwich, Royal Observatory in Greenwich, London, counted from midnight. At different times in the past, it has been calculated in different ways, including being ...
).
[
] Reliable
marine chronometer
A marine chronometer is a precision timepiece that is carried on a ship and employed in the determination of the ship's position by celestial navigation. It is used to determine longitude by comparing Greenwich Mean Time (GMT), and the time at t ...
s were unavailable until the late 18th century and not affordable until the 19th century.
[
][
][
] For about a hundred years, from about 1767 until about 1850, mariners lacking a chronometer used the method of lunar distances to determine Greenwich time to find their longitude. A mariner with a chronometer could check its reading using a lunar determination of Greenwich time.
Loxodrome
In navigation, a rhumb line (or loxodrome) is a line crossing all meridians of longitude at the same angle, i.e. a path derived from a defined initial bearing. That is, upon taking an initial bearing, one proceeds along the same bearing, without changing the direction as measured relative to true or magnetic north.
Methods of navigation
Most
modern navigation relies primarily on positions determined electronically by receivers collecting information from satellites. Most other modern techniques rely on finding intersecting
lines of position or LOP.
[Maloney, 2003:615.]
A line of position can refer to two different things, either a line on a chart or a line between the observer and an object in real life.
[Maloney, 2003:614] A bearing is a measure of the direction to an object.
If the navigator measures the direction in real life, the angle can then be drawn on a
nautical chart
A nautical chart or hydrographic chart is a graphic representation of a sea region or water body and adjacent coasts or river bank, banks. Depending on the scale (map), scale of the chart, it may show depths of water (bathymetry) and heights of ...
and the navigator will be somewhere on that bearing line on the chart.
In addition to bearings, navigators also often measure distances to objects.
On the chart, a distance produces a circle or arc of position.
Circles, arcs, and hyperbolae of positions are often referred to as lines of position.
If the navigator draws two lines of position, and they intersect he must be at that position.
A
fix is the intersection of two or more LOPs.
If only one line of position is available, this may be evaluated against the
dead reckoning
In navigation, dead reckoning is the process of calculating the current position of a moving object by using a previously determined position, or fix, and incorporating estimates of speed, heading (or direction or course), and elapsed time. T ...
position to establish an estimated position.
[Maloney, 2003:618.]
Lines (or circles) of position can be derived from a variety of sources:
* celestial observation (a short segment of the
circle of equal altitude, but generally represented as a line),
* terrestrial range (natural or man made) when two charted points are observed to be in line with each other,
[Maloney, 2003:622.]
* compass bearing to a charted object,
* radar range to a charted object,
* on certain coastlines, a depth sounding from
echo sounder or hand
lead line.
There are some methods seldom used today such as the maritime method of "dipping a light" to calculate the geographic range from observer to lighthouse, where the height of the lighthouse is known (from a list of lights or from a chart).
Methods of navigation have changed through history.
[Bowditch, 2002:1.] Each new method has enhanced the mariner's ability to complete his voyage.
One of the most important judgments the navigator must make is the best method to use.
Some types of navigation are depicted in the table.
The practice of navigation usually involves a combination of these different methods.
Mental navigation checks
By mental navigation checks, a pilot or a navigator estimates tracks, distances, and altitudes which will then help the pilot avoid gross navigation errors.
Piloting

Piloting (also called pilotage) involves navigating an aircraft by visual reference to landmarks,
[Federal Aviation Regulations Part 1 §1.1] or a water vessel in restricted waters and fixing its position as precisely as possible at frequent intervals.
[Bowditch, 2002:105.] More so than in other phases of navigation, proper preparation and attention to detail are important.
Procedures vary from vessel to vessel, and between military, commercial, and private vessels.
As pilotage takes place in
shallow waters, it typically involves following courses to ensure sufficient
under keel clearance, ensuring a sufficient depth of water below the
hull as well as a consideration for
squat.
It may also involve navigating a ship within a river,
canal
Canals or artificial waterways are waterways or engineered channels built for drainage management (e.g. flood control and irrigation) or for conveyancing water transport vehicles (e.g. water taxi). They carry free, calm surface ...
or
channel in close proximity to land.
A military navigation team will nearly always consist of several people.
A military navigator might have bearing takers stationed at the gyro repeaters on the bridge wings for taking simultaneous bearings, while the civilian navigator on a merchant ship or leisure craft must often take and plot their position themselves, typically with the aid of electronic position fixing.
While the military navigator will have a bearing book and someone to record entries for each fix, the civilian navigator will simply pilot the bearings on the chart as they are taken and not record them at all.
If the ship is equipped with an
ECDIS, it is reasonable for the navigator to simply monitor the progress of the ship along the chosen track, visually ensuring that the ship is proceeding as desired, checking the compass, sounder and other indicators only occasionally.
If a
pilot
An aircraft pilot or aviator is a person who controls the flight of an aircraft by operating its Aircraft flight control system, directional flight controls. Some other aircrew, aircrew members, such as navigators or flight engineers, are al ...
is aboard, as is often the case in the most restricted of waters, his judgement can generally be relied upon, further easing the workload.
But should the ECDIS fail, the navigator will have to rely on his skill in the manual and time-tested procedures.
Celestial navigation

Celestial navigation systems are based on observation of the positions of the
Sun
The Sun is the star at the centre of the Solar System. It is a massive, nearly perfect sphere of hot plasma, heated to incandescence by nuclear fusion reactions in its core, radiating the energy from its surface mainly as visible light a ...
,
Moon
The Moon is Earth's only natural satellite. It Orbit of the Moon, orbits around Earth at Lunar distance, an average distance of (; about 30 times Earth diameter, Earth's diameter). The Moon rotation, rotates, with a rotation period (lunar ...
,
planet
A planet is a large, Hydrostatic equilibrium, rounded Astronomical object, astronomical body that is generally required to be in orbit around a star, stellar remnant, or brown dwarf, and is not one itself. The Solar System has eight planets b ...
s and
navigational stars using a
sextant or similar navigation instrument.
By knowing which point on the rotating Earth a celestial object is above and measuring its height above the observer's horizon, the navigator can determine his distance from that subpoint using mathematical calculation.
A
nautical almanac and a source of time, typically a
marine chronometer
A marine chronometer is a precision timepiece that is carried on a ship and employed in the determination of the ship's position by celestial navigation. It is used to determine longitude by comparing Greenwich Mean Time (GMT), and the time at t ...
are used to compute the subpoint on Earth a celestial body is over, and a
sextant is used to measure the body's angular height above the horizon.
That height can then be used to compute distance from the subpoint to create a circular line of position. Alternatively sight reduction tables can be used.
A navigator shoots a number of stars in succession to give a series of overlapping lines of position. Where they intersect is the celestial fix. The Moon and Sun may also be used. The Sun can also be used by itself to shoot a succession of lines of position (best done around local noon) to determine a position.
Since the advent of GNSS, celestial navigation is less used for marine and air navigation, though it remains useful as a backup or as another method to cross-check the accuracy of electronic systems, particularly in the open ocean.
Marine chronometer

In order to accurately measure longitude, the precise time is required of a sextant sighting (down to the second, if possible) which is then recorded for subsequent calculation. Each second of error is equivalent to 15 seconds of longitude error, which at the equator is a position error of .25 of a nautical mile, about the accuracy limit of manual celestial navigation. The spring-driven marine chronometer is a precision timepiece used aboard ship to provide accurate time for celestial observations.
[Bowditch, 2002:269.] A chronometer differs from a spring-driven watch principally in that it contains a variable lever device to maintain even pressure on the mainspring, and a special balance designed to compensate for temperature variations.
A spring-driven chronometer is set approximately to Greenwich mean time (GMT) and is not reset until the instrument is overhauled and cleaned, usually at three-year intervals.
The difference between GMT and chronometer time is carefully determined and applied as a correction to all chronometer readings.
Spring-driven chronometers must be wound at about the same time each day.
Quartz crystal marine chronometers have replaced spring-driven chronometers onboard modern ships because of their greater accuracy.
They are maintained on GMT directly from radio time signals.
This eliminates chronometer error and watch error corrections.
Should the second hand be in error by a readable amount, it can be reset electrically.
The basic element for time generation is a quartz crystal oscillator.
The quartz crystal is temperature compensated and is hermetically sealed in an evacuated envelope.
A calibrated adjustment capability is provided to adjust for the aging of the crystal.
The chronometer is typically designed to operate for a minimum of one year on a single set of batteries.
Observations may be timed and ship's clocks set with a comparing watch, which is set to chronometer time and taken to the bridge wing for recording sight times.
In practice, a wrist watch coordinated to the nearest second with the chronometer will be adequate.
A stop watch, either spring wound or digital, may also be used for celestial observations.
In this case, the watch is started at a known GMT by chronometer, and the elapsed time of each sight added to this to obtain GMT of the sight.
All chronometers and watches should be checked regularly with a radio time signal.
Times and frequencies of radio time signals are listed in publications such as
Radio Navigational Aids.
The marine sextant

The second critical component of celestial navigation is to measure the angle formed at the observer's eye between the celestial body and the sensible horizon. The sextant, an optical instrument, is used to perform this function. The sextant consists of two primary assemblies. The frame is a rigid triangular structure with a pivot at the top and a graduated segment of a circle, referred to as the "arc", at the bottom. The second component is the index arm, which is attached to the pivot at the top of the frame. At the bottom is an endless vernier which clamps into teeth on the bottom of the "arc". The optical system consists of two mirrors and, generally, a low power telescope. One mirror, referred to as the "index mirror" is fixed to the top of the index arm, over the pivot. As the index arm is moved, this mirror rotates, and the graduated scale on the arc indicates the measured angle ("altitude").
The second mirror, referred to as the "horizon glass", is fixed to the front of the frame. One half of the horizon glass is silvered and the other half is clear. Light from the celestial body strikes the index mirror and is reflected to the silvered portion of the horizon glass, then back to the observer's eye through the telescope. The observer manipulates the index arm so the reflected image of the body in the horizon glass is just resting on the visual horizon, seen through the clear side of the horizon glass.
There are three main errors that must be corrected in order to each usage for navigation.
The main errors are perpendicular error, side error and index error.
Adjustment of the sextant consists of checking and aligning all the optical elements to eliminate the overall "index error" (or index correction). Index correction should be checked, using the horizon or more preferably a star, each time the sextant is used.
The practice of taking celestial observations from the deck of a rolling ship, often through cloud cover and with a hazy horizon, is by far the most challenging part of celestial navigation.
Bubble octant
Until the widespread usage of technologies such as inertial navigation systems,
VHF omnidirectional range
Very High Frequency Omnidirectional Range Station (VOR) is a type of short-range VHF radio navigation system for aircraft, enabling aircraft with a VOR receiver to determine the azimuth (also radial), referenced to magnetic north, between the a ...
and GNSS, air navigators used the
Bubble octant or bubble sextant.
Using this instrument to take sights, mathematical calculations could then be carried out to determine the past position of the aircraft.
Inertial navigation
Inertial navigation system
An inertial navigation system (INS; also inertial guidance system, inertial instrument) is a navigation device that uses motion sensors (accelerometers), rotation sensors (gyroscopes) and a computer to continuously calculate by dead reckoning th ...
(INS) is a
dead reckoning
In navigation, dead reckoning is the process of calculating the current position of a moving object by using a previously determined position, or fix, and incorporating estimates of speed, heading (or direction or course), and elapsed time. T ...
type of navigation system that computes its position based on motion sensors.
Before actually navigating, the initial latitude and longitude and the INS's physical orientation relative to the Earth (e.g., north and level) are established. After alignment, an INS receives impulses from motion detectors that measure (a) the acceleration along three axes (accelerometers), and (b) rate of rotation about three orthogonal axes (gyroscopes). These enable an INS to continually and accurately calculate its current latitude and longitude (and often velocity).
Advantages over other navigation systems are that, once aligned, an INS does not require outside information. An INS is not affected by adverse weather conditions and it cannot be detected or jammed. Its disadvantage is that since the current position is calculated solely from previous positions and motion sensors, its errors are cumulative, increasing at a rate roughly proportional to the time since the initial position was input. Inertial navigation systems must therefore be frequently corrected with a location 'fix' from some other type of navigation system.
The first inertial system is considered to be the V-2 guidance system deployed by the Germans in 1942. However, inertial sensors are traced to the early 19th century.
["An historical perspective on inertial navigation systems", Daniel Tazartes, ''2014 International Symposium on Inertial Sensors and Systems (ISISS)'', Laguna Beach, CA] The advantages INSs led their use in aircraft, missiles, surface ships and submarines. For example, the U.S. Navy developed the Ships Inertial Navigation System (SINS) during the
Polaris missile
The UGM-27 Polaris missile was a two-stage solid-fuel rocket, solid-fueled nuclear warhead, nuclear-armed submarine-launched ballistic missile (SLBM). As the United States Navy's first SLBM, it served from 1961 to 1980.
In the mid-1950s the Navy ...
program to ensure a reliable and accurate navigation system to initial its missile guidance systems. Inertial navigation systems were in wide use until
satellite navigation
A satellite navigation or satnav system is a system that uses satellites to provide autonomous geopositioning. A satellite navigation system with global coverage is termed global navigation satellite system (GNSS). , four global systems are ope ...
systems (GPS) became available. INSs are still in common use on submarines (since GPS reception or other fix sources are not possible while submerged) and long-range missiles but are not now widely found elsewhere.
Space navigation
Not to be confused with satellite navigation, which depends upon satellites to function, space navigation refers to the navigation of spacecraft themselves. This has historically been achieved (during the
Apollo program
The Apollo program, also known as Project Apollo, was the United States human spaceflight program led by NASA, which Moon landing, landed the first humans on the Moon in 1969. Apollo followed Project Mercury that put the first Americans in sp ...
) via a
navigational computer, an Inertial navigation system, and via celestial inputs entered by astronauts which were recorded by sextant and telescope. Space rated navigational computers, like those found on Apollo and later missions, are designed to be hardened against possible data corruption from radiation. Navigation in space has three main components: the use of a suitable reference trajectory which describes the planned flight path of the spacecraft, monitoring the actual spacecraft position while the mission is in flight (orbit determination) and creating maneuvers to bring the spacecraft back to the reference trajectory as required (flight path control).
Another possibility that has been explored for deep space navigation is
Pulsar navigation, which compares the X-ray bursts from a collection of known pulsars in order to determine the position of a spacecraft. This method has been tested by multiple space agencies, such as
NASA
The National Aeronautics and Space Administration (NASA ) is an independent agencies of the United States government, independent agency of the federal government of the United States, US federal government responsible for the United States ...
and
ESA.
Electronic navigation

Radar navigation
Radars can be used for navigation and
marine radars are commonly fitted to ships for navigation at sea.
Radar is an effective aid to navigation because it provides ranges and bearings to objects within range of the radar scanner.
When a vessel (ship or boat) is within radar range of land or fixed objects (such as special radar aids to navigation and navigation marks) the navigator can take distances and angular bearings to charted objects and use these to establish arcs of position and lines of position on a chart.
[Maloney, 2003:744.] A fix consisting of only radar information is called a radar fix.
[Bowditch, 2002:816.] Types of radar fixes include "range and bearing to a single object,"
[National Imagery and Mapping Agency, 2001:163.] "two or more bearings,"
"tangent bearings,"
and "two or more ranges."
Radar can also be used with
ECDIS as a means of position fixing with the radar image or distance/bearing overlaid onto an
Electronic nautical chart.
Parallel indexing is a technique defined by William Burger in the 1957 book ''The Radar Observer's Handbook''.
[National Imagery and Mapping Agency, 2001:169.] This technique involves creating a line on the screen that is parallel to the ship's course, but offset to the left or right by some distance.
This parallel line allows the navigator to maintain a given distance away from
hazards.
The line on the radar screen is set to a specific distance and angle, then the ship's position relative to the parallel line is observed. This can provide an immediate reference to the navigator as to whether the ship is on or off its intended course for navigation.
Other techniques that are less used in general navigation have been developed for special situations. One, known as the "contour method," involves marking a transparent plastic template on the radar screen and moving it to the chart to fix a position.
[National Imagery and Mapping Agency, 2001:164.] Another special technique, known as the Franklin Continuous Radar Plot Technique, involves drawing the path a radar object should follow on the radar display if the ship stays on its planned course.
[National Imagery and Mapping Agency, 2001:182.] During the transit, the navigator can check that the ship is on track by checking that the pip lies on the drawn line.
Radio navigation

A radio direction finder or RDF is a device for finding the direction to a
radio
Radio is the technology of communicating using radio waves. Radio waves are electromagnetic waves of frequency between 3 hertz (Hz) and 300 gigahertz (GHz). They are generated by an electronic device called a transmitter connec ...
source. Due to radio's ability to travel very long distances "over the horizon", it makes a particularly good navigation system for ships and aircraft that might be flying at a distance from land. RDFs works by rotating a directional
antenna and listening for the direction in which the signal from a known station comes through most strongly. This sort of system was widely used in the 1930s and 1940s. RDF antennas are easy to spot on
German World War II
World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
aircraft, as loops under the rear section of the fuselage, whereas most
US aircraft enclosed the antenna in a small teardrop-shaped fairing.
In navigational applications, RDF signals are provided in the form of ''radio beacons'', the radio version of a
lighthouse
A lighthouse is a tower, building, or other type of physical structure designed to emit light from a system of lamps and lens (optics), lenses and to serve as a beacon for navigational aid for maritime pilots at sea or on inland waterways.
Ligh ...
. The signal is typically a simple
AM broadcast of a
morse code
Morse code is a telecommunications method which Character encoding, encodes Written language, text characters as standardized sequences of two different signal durations, called ''dots'' and ''dashes'', or ''dits'' and ''dahs''. Morse code i ...
series of letters, which the RDF can tune in to see if the beacon is "on the air". Most modern detectors can also tune in any commercial radio stations, which is particularly useful due to their high power and location near major cities.
Decca,
OMEGA
Omega (, ; uppercase Ω, lowercase ω; Ancient Greek ὦ, later ὦ μέγα, Modern Greek ωμέγα) is the twenty-fourth and last letter in the Greek alphabet. In the Greek numerals, Greek numeric system/isopsephy (gematria), it has a value ...
, and
LORAN-C are three similar hyperbolic navigation systems. Decca was a
hyperbolic
Hyperbolic may refer to:
* of or pertaining to a hyperbola, a type of smooth curve lying in a plane in mathematics
** Hyperbolic geometry, a non-Euclidean geometry
** Hyperbolic functions, analogues of ordinary trigonometric functions, defined u ...
low frequency
Low frequency (LF) is the ITU designation for radio frequencies (RF) in the range of 30–300 kHz. Since its wavelengths range from 10–1 km, respectively, it is also known as the kilometre band or kilometre waves.
LF radio waves ...
radio navigation
Radio navigation or radionavigation is the application of radio waves to geolocalization, determine a position of an object on the Earth, either the vessel or an obstruction. Like radiolocation, it is a type of Radiodetermination-satellite servi ...
system (also known as
multilateration
Trilateration is the use of distances (or "ranges") for determining the unknown position coordinates of a point of interest, often around Earth ( geopositioning).
When more than three distances are involved, it may be called multilateration, f ...
) that was first deployed during
World War II
World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
when the Allied forces needed a system which could be used to achieve accurate landings. As was the case with
Loran C, its primary use was for ship navigation in coastal waters. Fishing vessels were major post-war users, but it was also used on aircraft, including a very early (1949) application of moving-map displays. The system was deployed in the North Sea and was used by helicopters operating to
oil platform
An oil platform (also called an oil rig, offshore platform, oil production platform, etc.) is a large structure with facilities to extract and process petroleum and natural gas that lie in rock formations beneath the seabed. Many oil platforms w ...
s.
The OMEGA Navigation System was the first truly global
radio navigation
Radio navigation or radionavigation is the application of radio waves to geolocalization, determine a position of an object on the Earth, either the vessel or an obstruction. Like radiolocation, it is a type of Radiodetermination-satellite servi ...
system for aircraft, operated by the
United States
The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
in cooperation with six partner nations. OMEGA was developed by the United States Navy for military aviation users. It was approved for development in 1968 and promised a true worldwide oceanic coverage capability with only eight transmitters and the ability to achieve a four-mile (6 km) accuracy when fixing a position. Initially, the system was to be used for navigating nuclear bombers across the North Pole to Russia. Later, it was found useful for submarines. Due to the success of the
Global Positioning System
The Global Positioning System (GPS) is a satellite-based hyperbolic navigation system owned by the United States Space Force and operated by Mission Delta 31. It is one of the global navigation satellite systems (GNSS) that provide ge ...
the use of Omega declined during the 1990s, to a point where the cost of operating Omega could no longer be justified. Omega was terminated on September 30, 1997, and all stations ceased operation.
LORAN is a terrestrial
navigation
Navigation is a field of study that focuses on the process of monitoring and controlling the motion, movement of a craft or vehicle from one place to another.Bowditch, 2003:799. The field of navigation includes four general categories: land navig ...
system using
low frequency
Low frequency (LF) is the ITU designation for radio frequencies (RF) in the range of 30–300 kHz. Since its wavelengths range from 10–1 km, respectively, it is also known as the kilometre band or kilometre waves.
LF radio waves ...
radio transmitters that use the time interval between radio signals received from three or more stations to determine the position of a ship or aircraft. The current version of LORAN in common use is LORAN-C, which operates in the
low frequency
Low frequency (LF) is the ITU designation for radio frequencies (RF) in the range of 30–300 kHz. Since its wavelengths range from 10–1 km, respectively, it is also known as the kilometre band or kilometre waves.
LF radio waves ...
portion of the EM spectrum from 90 to 110
kHz. Many nations are users of the system, including the
United States
The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
,
Japan
Japan is an island country in East Asia. Located in the Pacific Ocean off the northeast coast of the Asia, Asian mainland, it is bordered on the west by the Sea of Japan and extends from the Sea of Okhotsk in the north to the East China Sea ...
, and several European countries. Russia uses a nearly exact system in the same frequency range, called
CHAYKA. LORAN use is in steep decline, with
GPS being the primary replacement. However, there are attempts to enhance and re-popularize LORAN. LORAN signals are less susceptible to interference and can penetrate better into foliage and buildings than GPS signals.
Satellite navigation
A GNSS allow small
electronic receivers to determine their location (
longitude
Longitude (, ) is a geographic coordinate that specifies the east- west position of a point on the surface of the Earth, or another celestial body. It is an angular measurement, usually expressed in degrees and denoted by the Greek lett ...
,
latitude
In geography, latitude is a geographic coordinate system, geographic coordinate that specifies the north-south position of a point on the surface of the Earth or another celestial body. Latitude is given as an angle that ranges from −90° at t ...
, and
altitude
Altitude is a distance measurement, usually in the vertical or "up" direction, between a reference datum (geodesy), datum and a point or object. The exact definition and reference datum varies according to the context (e.g., aviation, geometr ...
) within a few meters using
time signal
A time signal is a visible, audible, mechanical, or electronic signal used as a reference to determine the time of day.
Church bells or voices announcing hours of prayer gave way to automatically operated chimes on public clocks; however, au ...
s transmitted along a
line of sight by
radio
Radio is the technology of communicating using radio waves. Radio waves are electromagnetic waves of frequency between 3 hertz (Hz) and 300 gigahertz (GHz). They are generated by an electronic device called a transmitter connec ...
from
satellite
A satellite or an artificial satellite is an object, typically a spacecraft, placed into orbit around a celestial body. They have a variety of uses, including communication relay, weather forecasting, navigation ( GPS), broadcasting, scient ...
s.
Positions derived can then be used with maps and charts for
satellite navigation
A satellite navigation or satnav system is a system that uses satellites to provide autonomous geopositioning. A satellite navigation system with global coverage is termed global navigation satellite system (GNSS). , four global systems are ope ...
. Since the first experimental satellite was launched in 1978, GNSS have become an indispensable aid to navigation around the world, and an important tool for
map-making and
land surveying
Surveying or land surveying is the technique, profession, art, and science of determining the land, terrestrial Plane (mathematics), two-dimensional or Three-dimensional space#In Euclidean geometry, three-dimensional positions of Point (geom ...
. GNSS also provides a precise
time reference used in many applications including scientific study of
earthquake
An earthquakealso called a quake, tremor, or tembloris the shaking of the Earth's surface resulting from a sudden release of energy in the lithosphere that creates seismic waves. Earthquakes can range in intensity, from those so weak they ...
s, and
synchronization
Synchronization is the coordination of events to operate a system in unison. For example, the Conductor (music), conductor of an orchestra keeps the orchestra synchronized or ''in time''. Systems that operate with all parts in synchrony are sa ...
of telecommunications networks. Global Navigation Satellite System or GNSS is the term for satellite navigation systems that provide positioning with global coverage.
The first system, GPS was developed by the
United States Department of Defense
The United States Department of Defense (DoD, USDOD, or DOD) is an United States federal executive departments, executive department of the federal government of the United States, U.S. federal government charged with coordinating and superv ...
and officially named NAVSTAR GPS (NAVigation Satellite Timing And Ranging Global Positioning System). The
satellite constellation
A satellite constellation is a group of artificial satellites working together as a system. Unlike a single satellite, a constellation can provide permanent global or near-global pass (spaceflight), coverage, such that at any time everywhere on E ...
is managed by the
United States Air Force
The United States Air Force (USAF) is the Air force, air service branch of the United States Department of Defense. It is one of the six United States Armed Forces and one of the eight uniformed services of the United States. Tracing its ori ...
50th Space Wing. The cost of maintaining the system is approximately
US$
The United States dollar (Currency symbol, symbol: Dollar sign, $; ISO 4217, currency code: USD) is the official currency of the United States and International use of the U.S. dollar, several other countries. The Coinage Act of 1792 introdu ...
750 million per year,
[GPS Overview from the NAVSTAR Joint Program Office](_blank)
. Accessed December 15, 2006. including the replacement of aging satellites, and research and development. Despite this fact, GPS is free for civilian use as a
public good.
With improvements in technology and developments globally, as of 2024, there are several different operational GNSS now available for navigation by the public. These include the
United States
The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
NAVSTAR
Global Positioning System
The Global Positioning System (GPS) is a satellite-based hyperbolic navigation system owned by the United States Space Force and operated by Mission Delta 31. It is one of the global navigation satellite systems (GNSS) that provide ge ...
(GPS), the
Russia
Russia, or the Russian Federation, is a country spanning Eastern Europe and North Asia. It is the list of countries and dependencies by area, largest country in the world, and extends across Time in Russia, eleven time zones, sharing Borders ...
n
GLONASS
GLONASS (, ; ) is a Russian satellite navigation system operating as part of a radionavigation-satellite service. It provides an alternative to Global Positioning System (GPS) and is the second navigational system in operation with global cove ...
, the
European Union
The European Union (EU) is a supranational union, supranational political union, political and economic union of Member state of the European Union, member states that are Geography of the European Union, located primarily in Europe. The u ...
's
Galileo positioning system
Galileo is a satellite navigation, global navigation satellite system (GNSS) created by the European Union through the European Space Agency (ESA) and operated by the European Union Agency for the Space Programme (EUSPA). It is headquartered ...
and the
Beidou navigation system of
China
China, officially the People's Republic of China (PRC), is a country in East Asia. With population of China, a population exceeding 1.4 billion, it is the list of countries by population (United Nations), second-most populous country after ...
.
The different global systems have varying differences in accuracy but stated positions are normally in the range of between 1 and 10 metres accuracy depending on system and on that system's satellite coverage.
As a result over 100 satellites are in
medium Earth orbit
A medium Earth orbit (MEO) is an geocentric orbit, Earth-centered orbit with an altitude above a low Earth orbit (LEO) and below a high Earth orbit (HEO) – between above sea level. , transmitting signals allowing GNSS receivers to determine the receiver's
location
In geography, location or place is used to denote a region (point, line, or area) on Earth's surface. The term ''location'' generally implies a higher degree of certainty than ''place'', the latter often indicating an entity with an ambiguous bou ...
, speed and direction.
There are also several regional GNSS systems available for navigation, including the
Indian Regional Navigation Satellite System
Indian Regional Navigation Satellite System (IRNSS), with an operational name of NavIC (acronym for Navigation with Indian Constellation; also, 'sailor' or 'navigator' in Indian languages), is an autonomous regional satellite navigation syste ...
and the
Quasi-Zenith Satellite System. However, not all GNSS receivers are capable of operating with these systems and older GNSS receivers, such as on old ships may not be capable of receiving all of the GNSS now available to users.
Modern
smartphones
A smartphone is a mobile phone with advanced computing capabilities. It typically has a touchscreen interface, allowing users to access a wide range of applications and services, such as web browsing, email, and social media, as well as mult ...
act as personal
GNSS navigators for civilians who own them. Overuse of these devices, whether in the vehicle or on foot, can lead to a relative inability to learn about navigated environments, resulting in sub-optimal navigation abilities when and if these devices become unavailable. Typically a
compass
A compass is a device that shows the cardinal directions used for navigation and geographic orientation. It commonly consists of a magnetized needle or other element, such as a compass card or compass rose, which can pivot to align itself with No ...
is also provided to determine direction when not moving.
Acoustic navigation
Acoustic location is a method of navigation by the use of acoustic positioning systems which determine the position of an object by using
sound waves. It is primarily used by
submarines
A submarine (often shortened to sub) is a watercraft capable of independent operation underwater. (It differs from a submersible, which has more limited underwater capability.) The term "submarine" is also sometimes used historically or info ...
and ships fitted with
sonar
Sonar (sound navigation and ranging or sonic navigation and ranging) is a technique that uses sound propagation (usually underwater, as in submarine navigation) to navigate, measure distances ( ranging), communicate with or detect objects o ...
and similar transducer based technologies.
Underwater acoustic positioning system
An underwater acoustic positioning system is a system for the tracking and navigation of underwater vehicles or divers by means of acoustic distance and/or direction measurements, and subsequent position triangulation. Underwater acoustic position ...
s are also commonly used by divers and
Remotely operated underwater vehicle
A remotely operated underwater vehicle (ROUV) or remotely operated vehicle (ROV) is a free-swimming submersible craft used to perform underwater observation, inspection and physical tasks such as valve operations, hydraulic functions and other g ...
s, specifically the
Long baseline acoustic positioning system, the
Short baseline acoustic positioning system and the
Ultra-short baseline acoustic positioning system.
Navigation processes
Passage planning

Passage planning or voyage planning is a procedure to develop a complete description of vessel's voyage from start to finish. The plan includes leaving the dock and harbor area, the en route portion of a voyage, approaching the destination, and
mooring. According to international law, a vessel's
captain
Captain is a title, an appellative for the commanding officer of a military unit; the supreme leader or highest rank officer of a navy ship, merchant ship, aeroplane, spacecraft, or other vessel; or the commander of a port, fire or police depa ...
is legally responsible for passage planning,
however on larger vessels, the task will be delegated to the ship's
navigator
A navigator is the person on board a ship or aircraft responsible for its navigation.Grierson, MikeAviation History—Demise of the Flight Navigator FrancoFlyers.org website, October 14, 2008. Retrieved August 31, 2014. The navigator's prim ...
.
Studies show that
human error
Human error is an action that has been done but that was "not intended by the actor; not desired by a set of rules or an external observer; or that led the task or system outside its acceptable limits".Senders, J.W. and Moray, N.P. (1991) Human Er ...
is a factor in 80 percent of navigational accidents and that in many cases the human making the error had access to information that could have prevented the accident.
The practice of voyage planning has evolved from penciling lines on
nautical chart
A nautical chart or hydrographic chart is a graphic representation of a sea region or water body and adjacent coasts or river bank, banks. Depending on the scale (map), scale of the chart, it may show depths of water (bathymetry) and heights of ...
s to a process of
risk management
Risk management is the identification, evaluation, and prioritization of risks, followed by the minimization, monitoring, and control of the impact or probability of those risks occurring. Risks can come from various sources (i.e, Threat (sec ...
.
Passage planning consists of four stages: appraisal, planning, execution, and monitoring,
which are specified in ''
International Maritime Organization
The International Maritime Organization (IMO; ; ) is a List of specialized agencies of the United Nations, specialized agency of the United Nations responsible for regulating maritime transport. The IMO was established following agreement at a ...
Resolution A.893(21), Guidelines For Voyage Planning,''
and these guidelines are reflected in the local laws of IMO signatory countries (for example, Title 33 of the U.S.
Code of Federal Regulations
In the law of the United States, the ''Code of Federal Regulations'' (''CFR'') is the codification of the general and permanent regulatory law, regulations promulgated by the executive departments and agencies of the federal government of the ...
), and a number of professional books or publications. There are some fifty elements of a comprehensive passage plan depending on the size and type of vessel.
The appraisal stage deals with the collection of information relevant to the proposed voyage as well as ascertaining risks and assessing the key features of the voyage. This will involve considering the type of navigation required e.g.
Ice navigation, the region the ship will be passing through and the
hydrographic information on the route. In the next stage, the written plan is created. The third stage is the execution of the finalised voyage plan, taking into account any special circumstances which may arise such as changes in the weather, which may require the plan to be reviewed or altered. The final stage of passage planning consists of monitoring the vessel's progress in relation to the plan and responding to deviations and unforeseen circumstances.
Integrated bridge systems
Electronic integrated bridge concepts are driving future navigation system planning.
Integrated systems take inputs from various ship sensors, electronically display positioning information, and provide control signals required to maintain a vessel on a preset course.
The navigator becomes a system manager, choosing system presets, interpreting system output, and monitoring vessel response.
Ships and similar vessels
One day's work in traditional navigation
In traditional marine navigation, one day's work in navigation is a minimal set of tasks consistent with prudent celestial navigation. The definition and processes vary on military and civilian vessels, and from ship to ship, but the traditional method takes a form resembling:
[Turpin and McEwen, 1980:6–18.]
# Maintain a continuous dead reckoning plot.
# Take two or more star observations at morning twilight for a celestial fix (prudent to observe six stars).
# Morning Sun observation. Can be taken on or near
prime vertical
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
for longitude, or at any time for a line of position.
# Determine compass error by azimuth observation of the Sun.
# Computation of the interval to noon, watch time of local apparent noon, and constants for meridian or ex-meridian sights.
# Noontime meridian or ex-meridian observation of the Sun for noon latitude line. Running fix or cross with Venus line for noon fix.
# Noontime determination the day's run and day's set and drift.
# At least one afternoon Sun line, in case the stars are not visible at twilight.
# Determine compass error by azimuth observation of the Sun.
# Take two or more star observations at evening twilight for a celestial fix (prudent to observe six stars).
Navigation on ships is usually always conducted on the
bridge
A bridge is a structure built to Span (engineering), span a physical obstacle (such as a body of water, valley, road, or railway) without blocking the path underneath. It is constructed for the purpose of providing passage over the obstacle, whi ...
. It may also take place in adjacent space, where chart tables and publications are available. However, increasingly traditional navigation processes have been replaced with technological processes for marine navigation using GNSS and marine radar.
Land navigation
Navigation for cars and other land-based travel typically uses
map
A map is a symbolic depiction of interrelationships, commonly spatial, between things within a space. A map may be annotated with text and graphics. Like any graphic, a map may be fixed to paper or other durable media, or may be displayed on ...
s,
landmarks, and in recent times
computer navigation ("
satnav", short for satellite navigation), as well as any means available on water.
Computerized navigation commonly relies on
GPS for current location information, a
navigational map database of roads and navigable routes, and uses
algorithm
In mathematics and computer science, an algorithm () is a finite sequence of Rigour#Mathematics, mathematically rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algo ...
s related to the
shortest path problem
In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.
The problem of finding the shortest path between t ...
to identify optimal routes.
Pedestrian navigation is involved in
orienteering
Orienteering is a group of sports that involve using a map and compass to navigation, navigate from point to point in diverse and usually unfamiliar terrain whilst moving at speed. Participants are given a topographical map, usually a specia ...
,
land navigation (military), and
wayfinding
Wayfinding (or way-finding) encompasses all of the ways in which people (and animals) Orientation (mental), orient themselves in physical space and navigation, navigate from place to place.
Wayfinding software is a self-service computer program th ...
.
Underwater navigation
Submariners, divers,
remotely operated underwater vehicles (ROVs) and other underwater craft carry out underwater navigation by a variety of methods and processes including GNSS, radar navigation and sonar/acoustic position fixing.
Artificial intelligence
Artificial intelligence
Artificial intelligence (AI) is the capability of computer, computational systems to perform tasks typically associated with human intelligence, such as learning, reasoning, problem-solving, perception, and decision-making. It is a field of re ...
can be utilised to assist with planning, problem-serving and decision-making processes in navigation.
This includes using AI in navigation systems such as GNSS as well as in general computing to assist with position fixing and monitoring from one position to another such as in vehicles, planes and cars.
Standards, training and organisations
Professional standards for navigation depend on the type of navigation and vary by country. For marine navigation,
Merchant Navy deck officers are trained and internationally certified according to the
STCW Convention
International Convention on Standards of Training, Certification and Watchkeeping for Seafarers (STCW) sets minimum qualification standards for masters, officers and watch personnel on seagoing merchant ships and large yachts. STCW was adop ...
.
Leisure and amateur mariners may undertake lessons in navigation at local/regional training schools.
Naval
A navy, naval force, military maritime fleet, war navy, or maritime force is the branch of a nation's armed forces principally designated for naval and amphibious warfare; namely, lake-borne, riverine, littoral, or ocean-borne combat operatio ...
officers receive navigation training as part of their naval training.
In land navigation, courses and training is often provided to young persons as part of general or extra-curricular education. Land navigation is also an essential part of army training. Additionally, organisations such as the
Scouts
Scouting or the Scout Movement is a youth social movement, movement which became popularly established in the first decade of the twentieth century. It follows the Scout method of informal education with an emphasis on practical outdoor activi ...
and
DoE programme teach navigation to their students.
Orienteering
Orienteering is a group of sports that involve using a map and compass to navigation, navigate from point to point in diverse and usually unfamiliar terrain whilst moving at speed. Participants are given a topographical map, usually a specia ...
organisations are a type of sports that require navigational skills using a map and compass to navigate from point to point in diverse and usually unfamiliar terrain whilst moving at speed.
In aviation, pilots undertake
air navigation
The basic principles of air navigation are identical to general navigation, which includes the process of planning, recording, and controlling the movement of a craft from one place to another.
Successful air navigation involves piloting an airc ...
training as part of learning to fly.
Professional organisations also assist to encourage improvements in navigation or bring together navigators in learned environments. The
Royal Institute of Navigation (RIN) is a
learned society
A learned society ( ; also scholarly, intellectual, or academic society) is an organization that exists to promote an academic discipline, profession, or a group of related disciplines such as the arts and sciences. Membership may be open to al ...
with charitable status, aimed at furthering the development of navigation on land and sea, in the air and in space. It was founded in 1947 as a forum for mariners, pilots, engineers and academics to compare their experiences and exchange information. In the US, the
Institute of Navigation (ION) is a non-profit professional organisation advancing the art and science of positioning, navigation and timing.
Publications

Numerous
nautical publications are available on navigation, which are published by professional sources all over the world. In the UK, the
United Kingdom Hydrographic Office
The United Kingdom Hydrographic Office (UKHO) is the UK's agency for providing hydrographic and marine geospatial data to mariners and maritime organisations across the world. The UKHO is a trading fund of the Ministry of Defence (MoD) and is ...
, the
Witherby Publishing Group
Witherby Publishing Group, formerly known as Witherby Seamanship, is a technical publisher of maritime, nautical and navigation training, reference and regulatory materials. The company is the resulting merger of Witherby Books and Seaman ...
and the
Nautical Institute provide numerous navigational publications, including the comprehensive Admiralty Manual of Navigation.
In the US,
Bowditch's American Practical Navigator is a free available encyclopedia of navigation issued by the US Government.
Navigation in spatial cognition
Navigation is an essential everyday activity that involves a series of abilities that help humans and animals to locate, track, and follow paths in order to arrive at different destinations. Navigation, in
spatial cognition
In cognitive psychology, spatial cognition is the acquisition, organization, utilization, and revision of knowledge about spatial environments. It is most about how animals, including humans, behave within space and the knowledge they built aroun ...
, allows for acquiring information about the environment by using the body and
landmarks of the environment as
frames of references to create
mental representations of our environment, also known as a
cognitive map. Humans navigate by transitioning between different spaces and coordinating both
egocentric and allocentric frames of reference.
Navigation can be distinguished into two sptial components: locomotion and wayfinding.
Locomotion is the process of movement from one place to another, both in humans and in animals. Locomotion helps you understand an environment by moving through a space in order to create a mental representation of it.
Wayfinding
Wayfinding (or way-finding) encompasses all of the ways in which people (and animals) Orientation (mental), orient themselves in physical space and navigation, navigate from place to place.
Wayfinding software is a self-service computer program th ...
is defined as an active process of following or deciding upon a path between one place to another through mental representations. It involves processes such as representation, planning and decision which help to avoid obstacles, to stay on course or to regulate pace when approaching particular objects.
Navigation and wayfinding can be approached in the
environmental space. According to
Dan Montello’s
space classification, there are four levels of space with the third being the environmental space. The environmental space represents a very large space, like a city, and can only be fully explored through movement since all objects and space are not directly visible.
Also
Barbara Tversky systematized the space, but this time taking into consideration the three dimensions that correspond to the
axes
Axes, plural of ''axe'' and of ''axis'', may refer to
* ''Axes'' (album), a 2005 rock album by the British band Electrelane
* a possibly still empty plot (graphics)
See also
* Axis (disambiguation)
An axis (: axes) may refer to:
Mathematics ...
of the human body and its extensions: above/below, front/back and left/right. Tversky ultimately proposed a fourfold classification of navigable space: space of the body, space around the body, space of navigation and space of graphics.
Wayfinding
There are two types of wayfinding in navigation: aided and unaided.
Aided wayfinding requires a person to use various types of
media
Media may refer to:
Communication
* Means of communication, tools and channels used to deliver information or data
** Advertising media, various media, content, buying and placement for advertising
** Interactive media, media that is inter ...
, such as
maps
A map is a symbolic depiction of interrelationships, commonly spatial, between things within a space. A map may be annotated with text and graphics. Like any graphic, a map may be fixed to paper or other durable media, or may be displayed on ...
,
GPS,
directional signage, etc., in their navigation process which generally involves low spatial reasoning and is less cognitively demanding. Unaided wayfinding involves no such devices for the person who is navigating.
Unaided wayfinding can be subdivided into a
taxonomy
image:Hierarchical clustering diagram.png, 280px, Generalized scheme of taxonomy
Taxonomy is a practice and science concerned with classification or categorization. Typically, there are two parts to it: the development of an underlying scheme o ...
of tasks depending on whether it is undirected or directed, which basically makes the distinction of whether there is a precise destination or not: undirected wayfinding means that a person is simply
exploring an environment for pleasure without any set destination.
Directed wayfinding, instead, can be further subdivided into search vs. target approximation.
Search means that a person does not know where the destination is located and must find it either in an unfamiliar environment, which is labeled as an uninformed search, or in a familiar environment, labeled as an informed search. In target approximation, on the other hand, the location of the destination is known to the navigator but a further distinction is made based on whether the navigator knows how to arrive or not to the destination. Path following means that the environment, the path, and the destination are all known which means that the navigator simply follows the path they already know and arrive at the destination without much thought. For example, when you are in your city and walking on the same path as you normally take from your house to your job or university.
However, path finding means that the navigator knows where the destination is but does not know the route they have to take to arrive at the destination: you know where a specific store is but you do not know how to arrive there or what path to take. If the navigator does not know the environment, it is called path search which means that only the destination is known while neither the path nor the environment is: you are in a new city and need to arrive at the train station but do not know how to get there.
Path planning, on the other hand, means that the navigator knows both where the destination is and is familiar with the environment so they only need to plan the route or path that they should take to arrive at their target. For example, if you are in your city and need to get to a specific store that you know the destination of but do not know the specific path you need to take to get there.
See also
*
Robot navigation
Robot localization denotes the robot's ability to establish its own position and orientation within the frame of reference. Path planning is effectively an extension of localization, in that it requires the determination of the robot's current pos ...
*
TVMDC
*
Collision avoidance in transportation
*
Spatial cognition#Navigation
References
Bibliography
Nathaniel Bowditch, ''The American Practical Navigator,'' (2002) by the United States government*
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External links
''Lectures in Navigation''by Ernest Gallaudet Draper
(archived 8 December 2012)
{{Authority control
Geodesy