
Table of geography, hydrography, and navigation, from the 1728 ''
Cyclopaedia''.
'Navigation' is the process of planning, recording, and controlling the movement of a craft or vehicle from one place to another.
[1] The word ''navigate'' is derived from the Latin roots ''navis'' meaning "ship" and ''agere'' meaning "to move" or "to direct."
Different navigational techniques have evolved over the ages in different cultures, but all involve locating one's position compared to known locations or patterns.
Basic concepts
Latitude
The latitude of a place on the earth's surface is the angular distance north or south of the
equator.
[2] Latitude is usually expressed in
degrees (marked with °) ranging from 0° at the
Equator to 90° at the North and South poles.
The latitude of the
North Pole is 90° N, and the latitude of the
South Pole is 90° S.
Longitude
Similar to latitude, the longitude of a place on the earth's surface is the angular distance east or west of the
prime 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, Australia, for example, has a longitude of about 151° east.
New York City has a longitude of about 74° west.
Modern technique
Most modern navigation relies primarily on positions determined electronically by receivers collecting information from satellites. Most other modern techniques rely on crossing
lines of position or LOP.
[3] A line of position can refer to two different things: a line on a chart and a line between the observer and an object in real life.
[4] A bearing is a measure of the direction to an object.
If the navigator measures the direction in real life, he can then draw the angle on a
nautical chart and presume he lies on that 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 position to establish an estimated position.
[5]
Lines (or circles) of position can be derived from a variety of sources:
★ celestial observation (actually, 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,
[6]
★ 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 older methods seldom used today such as "dipping a light" to calculate the geographic range from observer to lighthouse
Methods of navigation have changed through history.
[7] Each new method has enhanced the mariner’s ability to complete his voyage safely and expeditiously.
One of the most important judgments the navigator must make involves choosing the best method to use.
Some commonly recognized types of navigation are depicted in the table.
| 'Modern navigation methods' |
| Illustration | Description | Application |
|---|---|---|
| 'Dead reckoning' or DR, in which one advances a prior position using the ship's course and speed. The new position is called a DR position. It is generally accepted that only course and speed determine the DR position. Correcting the DR position for leeway, current effects, and steering error result in an estimated position or EP. An inertial navigator develops an extremely accurate EP. | Used at all times. |
| 'Pilotage' involves navigating in restricted waters with frequent determination of position relative to geographic and hydrographic features. | When within sight of land. |
| 'Celestial navigation' involves reducing celestial measurements to lines of position using tables, spherical trigonometry, and almanacs. | Used primarily as a backup to satellite and other electronic systems in the open ocean. |
| 'Electronic navigation' covers any method of position fixing using electronic means, including: | ||
|---|---|---|
| 'Radio navigation' uses radio waves to determine position by either radio direction finding systems or hyperbolic systems, such as Decca, Omega and LORAN-C. | Losing ground to GPS. |
| 'Radar navigation' uses radar to determine the distance from or bearing of objects whose position is known. This process is separate from radar’s use as a collision avoidance system. | Primarily when within radar range of land. |
| 'Satellite navigation' uses artificial earth satellite systems, such as GPS, to determine position. | Used in all situations. |
The practice of navigation usually involves a combination of these different methodologies.
Dead reckoning

The navigator plots his 9am position, indicated b the triangle, and, using his course and speed, estimates his position at 9:30am and 10am.
Dead reckoning is the process of estimating one’s present position by projecting course and speed from a known past position.
[8] It is also used to predict a future position by projecting course and speed from a known present position.
The DR position is only an approximate position because it does not allow for the effect of leeway, current, helmsman error, compass error, or any other external influences.
The navigator uses dead reckoning in many ways, such as:
★ to determine sunrise and sunset,
★ to predict landfall, sighting lights and arrival times,
★ to evaluate the accuracy of electronic positioning information,
★ to predict which celestial bodies will be available for future observation.
The most important use of dead reckoning is to project the position of the ship into the immediate future and avoid hazards to navigation.
A prudent navigator carefully tends the DR plot, updating it when required, and uses it to evaluate external forces acting on the ship. The navigator also consults the DR plot to avoid potential navigation hazards.
A fix taken at each DR position will reveal the effects of current, wind, and steering error, and allow the navigator to stay on track by correcting for them.
The use of DR when an
Electronic Charts Display and Information System (ECDIS) is the primary plotting method will vary with the type of system. An ECDIS allows the display of the ship’s heading projected out to some future position as a function of time, the display of waypoint information, and progress toward each waypoint in turn.
Until ECDIS is proven to provide the level of safety and accuracy required, the use of a traditional DR plot on paper charts is a prudent backup, especially in restricted waters.
Before the development of the
marine chronometer, dead reckoning was the primary method of determining
longitude available to mariners such as
Christopher Columbus and
John Cabot on their trans-Atlantic voyages.
Piloting
Piloting (also called pilotage) involves navigating a vessel in restricted waters and fixing its position as precisely as possible at frequent intervals.
[9] 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.
It is the responsibility of the
navigator to choose the procedures applicable to his own situation, to train the piloting team in their execution, and to ensure that duties are carried out properly.
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 must often take and plot them himself.
While the military navigator will have a bearing book and someone to record entries for each fix, the civilian navigator will simply plot 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 is aboard, as is often the case in the most restricted of waters, his judgement can generally be relied upon explicitly, 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 discussed in this chapter.
Celestial navigation
Main articles: Celestial navigation

A celestial fix will be at the intersection of two or more circles.
Celestial navigation systems are based on observation of the positions of the
Sun,
Moon and
stars. By knowing which point on the rotating earth a celestial object is currently above and measuring it's height above the observer's horizon, the navigator can determine his distance from that subpoint. A
Nautical almanac and a
chronometer 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 ones distance from the subpoint to create a circular line of position. A navigator shoots a number of stars in succession to give a series of overlapping lines of position. Where they intersect is his 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 as well.
Marine chronometer
In order to accurately measure longitude, one must record the precise time of a sextant sighting (down to the second, if possible). Various types of chronometers are widely used.
The spring-driven marine chronometer is a precision timepiece used aboard ship to provide accurate time for celestial observations.
[10] A chronometer differs from a springdriven 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.
At maximum intervals of about three years, a spring-driven chronometer should be sent to a chronometer repair shop for cleaning and overhaul.
Quartz crystal marine chronometers have replaced spring-driven chronometers aboard many 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 designed to operate for a minimum of 1 year on a single set of batteries.
A good marine chronometer has a built-in push button battery test meter.
The meter face is marked to indicate when the battery should be replaced.
The chronometer continues to operate and keep the correct time for at least 5 minutes while the batteries are changed.
The chronometer is designed to accommodate the gradual voltage drop during the life of the batteries while maintaining accuracy requirements.
A chronometer should not be removed from its case to time sights.
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 modern marine
sextant is used to measure the elevation of celestial bodies above the horizon.
The second critical component of modern celestial navigation is to measure the angle formed at the observer's eye between the celestial body and the sensible horizon. The sextant, a clever 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.
Adjustment of the sextant consists of checking and aligning all the optical elements to eliminate "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. The mechanics of celestial navigation can be mastered in the classroom, but proficiency with a sextant at sea is a matter for expert instruction and extensive practice.
Electronic navigation
Radio navigation
A
radio direction finder or RDF is a device for finding the direction to a
radio 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.
RDF's work by pointing a directional
antenna in "various directions" and then 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 particularly very easy to spot on
German World War II 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. The signal is typically a simple
AM broadcast of a
morse code 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, and
LORAN-C are three similar hyperbolic navigation systems. Decca was a
hyperbolic low frequency radio navigation system (also known as
multilateration) that was first deployed during
World War II 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 extensively in the North Sea and was used by helicopters operating to
oil platforms. After being shut down in the spring of 2000, it has been superseded by systems such as the American
GPS and the planned European
Galileo positioning system.
The OMEGA Navigation System was the first truly global
radio navigation system for aircraft, operated by the
United States in cooperation with six partner nations. OMEGA was originally 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 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.
[1] Due to the success of the
Global Positioning System the use of Omega declined during the 1990s, to a point where the cost of operating Omega could no longer be justified. Omega was permanently terminated on
September 30,
1997 and all stations ceased operation.
LORAN is a terrestrial
navigation system using
low frequency 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 portion of the EM spectrum from 90 to 110
kHz. Many nations are users of the system, including the
United States,
Japan, 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 current attempts to enhance and re-popularize LORAN.
Radar navigation

Radar ranges and bearings can be very useful navigation.
Marine radar systems can provide very useful navigation information in a variety of situations. When the vessel is within radar range of land or special radar aids to navigation, 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.
[11] A fix consisting of only radar information is called a radar fix.
[12]
Some types of radar fixes include the relatively self-explanatory methods of "range and bearing to a single object,"
[13] "two or more bearings,"
"tangent bearings,"
and "two or more ranges."
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.
Some techniques 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.
Satellite navigation
Global Navigation Satellite System or GNSS is the standard generic term for satellite navigation systems that provide autonomous geo-spatial positioning with global coverage. A GNSS allow small
electronic receivers to determine their location (
longitude,
latitude, and
altitude) to within a few
metres using
time signals transmitted along a
line of sight by
radio from
satellites. Receivers on the ground with a fixed position can also be used to calculate the precise time as a reference for scientific experiments.
As of 2007, the
United States NAVSTAR
Global Positioning System (GPS) is the only fully operational GNSS. The
Russian
GLONASS is a GNSS in the process of being restored to full operation. The
European Union's Galileo positioning system is a next generation GNSS in the initial deployment phase, scheduled to be operational in 2010.
China has indicated it may expand its regional
Beidou navigation system into a global system.
More than two dozen GPS satellites are in
medium Earth orbit, transmitting signals allowing GPS receivers to determine the receiver's
location, speed and direction.
Since the first experimental satellite was launched in 1978, GPS has become an indispensable aid to navigation around the world, and an important tool for
map-making and
land surveying. GPS also provides a precise
time reference used in many applications including scientific study of
earthquakes, and
synchronization of telecommunications networks.
Developed by the
United States Department of Defense, GPS is officially named NAVSTAR GPS (NAVigation Satellite Timing And Ranging Global Positioning System). The
satellite constellation is managed by the
United States Air Force 50th Space Wing. The cost of maintaining the system is approximately
US$750 million per year,
[14] including the replacement of aging satellites, and research and development. Despite this fact, GPS is free for civilian use as a
public good.
Navigation processes
Day's Work in Navigation
The Day's Work in Navigation is an attempt to summarize a minimal set of tasks consistent with prudent navigation. The definition will vary on military and civilian vessels, and from ship to ship, but takes a form resembling
[15]:
# Maintain continuous dead reckoning plot.
#Take two or more star observations at morning twilight for a celestial fix.
#Morning sun observation. Can be taken on or near prime vertical 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.
Passage planning
Main articles: Passage planning

Poor passage planning and deviation from the plan can lead to groundings and oil spills.
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 enroute portion of a voyage, approaching the destination, and
mooring. According to international law, a vessel's
captain is legally responsible for passage planning,
[16] however on larger vessels, the task will be delegated to the ship's
navigator.
[17]
Studies show that human error 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 charts to a process of
risk management.
Passage planning consists of four stages: appraisal, planning, execution, and monitoring,
which are specified in ''
International Maritime Organization Resolution A.893(21), Guidelines For Voyage Planning,''
[18] 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), and a number of professional books and publications. There are some fifty elements of a comprehensive passage
plan depending on the size and type of vessel, each applicable according to the individual situation.
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. 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.
See also
★
Air navigation
★
Astrogation
★
Austronesian navigation
★
Automotive navigation system
★
Franz Xaver, Baron Von Zach, a scientific editor and astronomer, first located many places geographically.
★
Galileo positioning system
★
Geodetic system
★
Great-circle distance explains how to find that quantity if one knows the two latitudes and longitudes.
★
History of navigation
★
Ma Jun
★
Map database management
★
Marshall Islands stick chart
★
Off-course navigation
★
Polynesian navigation
★
Robotic mapping
★
South Pointing Chariot
★
Shen Kuo
★
SIGI
Notes
1. Bowditch, 2003:799.
2. Bowditch, 2003:4.
3. Maloney, 2003:615.
4. Maloney, 2003:614
5. Maloney, 2003:618.
6. Maloney, 2003:622.
7. Bowditch, 2002:1.
8. Bowditch, 2002:99.
9. Bowditch, 2002:105.
10. Bowditch, 2002:269.
11. Maloney, 2003:744.
12. Bowditch, 2002:816.
13. National Imagery and Mapping Agency, 2001:163.
14. GPS Overview from the NAVSTAR Joint Program Office. Accessed December 15, 2006.
15. Turpin and McEwen, 1980:6-18.
16. Regulation 34 - Safe Navigation
17. ANNEX 24 – MCA Guidance Notes for Voyage Planning
18. Guidelines For Voyage Planning
References
★
The American Practical Navigator, , Nathaniel, Bowditch, National Imagery and Mapping Agency, 2002,
★
Dutton's Nautical Navigation, , Thomas J., Cutler, Naval Institute Press, 2003,
★
Air Navigation, Department of the Air Force, , , Department of the Air Force, 2001,
★
Admiralty Manual of Seamanship, , , Great Britain Ministry of Defence (Navy), The Stationery Office, 1995,
★
Chapman Piloting and Seamanship, , Elbert S., Maloney, Hearst Communications Inc., 2003,
★
Publication 1310: Radar Navigation and Maneuvering Board Manual, National Imagery and Mapping Agency, , , U.S. Government Printing Office, 2001,
★
Merchant Marine Officers' Handbook, , Edward A., Turpin, Cornell Maritime Press, 1980,
★
Navigation Encyclopædia Britannica
★
Pytheas Encyclopædia Britannica
External links
★
Navigation - U.S. Army Manual.
★
Celestial Navigation
★
Bowditch Online - complete online edition of
Nathaniel Bowditch's ''American Practical Navigator''
★
Navigational Algorithms
★
traditional compass navigation
★
How to navigate with less than a compass or GPS
★
LOCUS research project about mobile navigation using a digital compass and a GPS.