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Navigation

There are several traditions of navigation. The art of navigation was born in the river Indus Indus River

The Indus is the longest and most important river [i] in Pakistan [i]. ... 

 in India India

India , officially the Republic of India, is a country in South Asia [i]. ... 

 over six thousand years ago. In the pre-modern history of human migration Human migration

Human Migration denotes any movement by human [i]s from one locality to another, often over long distanc ... 

 and discovery of new lands by navigating the ocean Ocean

Oceans cover almost three quarters of the surface of the Earth [i], and nearly half of the world's mar ... 

s, a few peoples have excelled as sea-faring explorers. Prominent examples are the Phoenicians Phoenicia

Phoenicia was an ancient civilization [i] centred in the north of ancient Canaan [i], with its heartland ... 

, the Ancient Greeks Ancient Greece

Ancient Greece is the period in Greek history [i] which lasted for around one thousand years and ended w ... 

, the Malays Malay people

This article is about Malay as a definition that includes the predominant people of Indonesia, Malaysia and ... 

, the Persians Persian people

The Persians are an Iranian people [i] who speak the Persian language [i] and share a co ... 

, Arabia Arabian Peninsula

The Arabian Peninsula is a peninsula [i] in Southwest Asia [i] at the junction of Africa [i] and Asia [i] ... 

ns, the Norse and, perhaps more than any others, the peoples of the Pacific Ocean Pacific Ocean

The Pacific Ocean is the world's largest body of water [i]. ... 

, particularly Polynesia Polynesia

Polynesia is a large grouping of over 1,000 island [i]s scattered over the central and southern Pacific Ocean [i] ... 

ns and Micronesia Micronesia

Micronesia, from the ancient Greek [i] ????? and ??s?? , is the name of a region in the Pacific Ocean [i] ... 

ns. With the advent of the airplane, the art of aerial navigation, an offshoot of sea navigation, was developed to account for additional effects such as coriolis effect and motion of the observer not experienced by slow-moving ships.

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Timeline

300   Magnetic compass Compass

A compass is a navigational instrument for finding directions on the earth.... 

 for navigation is invented in China China

China is a cultural region [i] and ancient civilization [i] in East Asia [i]. ... 

 (approximate date).

1707   Four British Royal Navy Royal Navy

The Royal Navy of the United Kingdom [i] is the oldest of the British armed services [i] ... 

 ships run aground near Scilly Isles Isles of Scilly

The Isles of Scilly form an archipelago [i] of islands off the southwesternmost tip of England [i]. ... 

 because of faulty navigation - Admiral Sir Cloudesley Shovel Cloudesley Shovell

Sir Cloudesley Shovell, English [i] admiral [i], was baptised at Cockthorpe [i] in Norfolk [i], ... 

 and thousands of sailors drown



Encyclopedia



There are several traditions of navigation. The art of navigation was born in the river Indus Indus River

The Indus is the longest and most important river [i] in Pakistan [i]. ... 

 in India India

India , officially the Republic of India, is a country in South Asia [i]. ... 

 over six thousand years ago. In the pre-modern history of human migration Human migration

Human Migration denotes any movement by human [i]s from one locality to another, often over long distanc ... 

 and discovery of new lands by navigating the ocean Ocean

Oceans cover almost three quarters of the surface of the Earth [i], and nearly half of the world's mar ... 

s, a few peoples have excelled as sea-faring explorers. Prominent examples are the Phoenicians Phoenicia

Phoenicia was an ancient civilization [i] centred in the north of ancient Canaan [i], with its heartland ... 

, the Ancient Greeks Ancient Greece

Ancient Greece is the period in Greek history [i] which lasted for around one thousand years and ended w ... 

, the Malays Malay people

This article is about Malay as a definition that includes the predominant people of Indonesia, Malaysia and ... 

, the Persians Persian people

The Persians are an Iranian people [i] who speak the Persian language [i] and share a co ... 

, Arabia Arabian Peninsula

The Arabian Peninsula is a peninsula [i] in Southwest Asia [i] at the junction of Africa [i] and Asia [i] ... 

ns, the Norse and, perhaps more than any others, the peoples of the Pacific Ocean Pacific Ocean

The Pacific Ocean is the world's largest body of water [i]. ... 

, particularly Polynesia Polynesia

Polynesia is a large grouping of over 1,000 island [i]s scattered over the central and southern Pacific Ocean [i]... 

ns and Micronesia Micronesia

Micronesia, from the ancient Greek [i] ????? and ??s?? , is the name of a region in the Pacific Ocean [i] ... 

ns. With the advent of the airplane, the art of aerial navigation, an offshoot of sea navigation, was developed to account for additional effects such as coriolis effect and motion of the observer not experienced by slow-moving ships.

Polynesian navigation


The Polynesia Polynesia

Polynesia is a large grouping of over 1,000 island [i]s scattered over the central and southern Pacific Ocean [i]... 

n navigators routinely crossed thousands of miles of open ocean, to tiny inhabited islands, using only their own senses and knowledge, passed by oral tradition, from navigator to apprentice.

In Eastern Polynesia, navigators, in order to locate directions at various times of day and year, memorized extensive facts concerning:
  • the motion of specific star Star

    A star is a massive, compact body of plasma [i] in outer space [i] that is held together by its ... 

    s, and where they would rise and set on the horizon Horizon

    The horizon is the line that separates earth [i] from sky [i]. ... 

     of the ocean Ocean

    Oceans cover almost three quarters of the surface of the Earth [i], and nearly half of the world's mar ... 

  • weather Weather

    Weather is an all-encompassing term used to describe all of the many and varied phenomena [i] that c ... 

  • times of travel
  • wildlife species
  • directions of swells on the ocean, and how the crew would feel their motion
  • colors of the sea and sky, especially how clouds would cluster at the locations of some islands
  • angles for approaching harbors


These, and outrigger Outrigger

* Outrigger canoe racing [i]

... 

 canoe Canoe

A canoe is a relatively small boat [i], typically human-powered, but also commonly sailed. ... 

 construction methods, were kept as guild Guild

A guild is an association [i] of people of the same trade or pursuits , formed to ... 

 secrets. Generally each island maintained a guild of navigators who had very high status, since in times of famine or difficulty, only they could trade for aid or evacuate people. The guild secrets might have been lost, had not one of the last living navigators trained a professional small boat captain so that he could write a book.

The first settlers of the Hawaiian Islands Hawaiian Islands

The Hawaiian Islands, once known as the Sandwich Islands, form an archipelago [i] of nineteen island [i] ... 

 were said to have used these navigation methods to sail to the Hawaiian Islands from the Marquesas Islands Marquesas Islands

The Marquesas Islands are a group of island [i]s in French Polynesia [i]. ... 

. In 1973, the Polynesian Voyaging Society Polynesian Voyaging Society

The Polynesian Voyaging Society is a non-profit research and educational corporation based in Honolulu [i]... 

 was established in Hawaii Hawaii

Hawaii became the 50th state [i] of the United States [i] on August 21 [i], 1959 [i]. ... 

 to research Polynesian navigation methods. They built a replica of an ancient double-hulled canoe called the Hokule'a Hokulea

*Hawai'iloa [i]
  • Makali'i [i]

... 

, whose crew, in 1976, successfully navigated the Pacific Ocean from Hawaii Hawaii

Hawaii became the 50th state [i] of the United States [i] on August 21 [i], 1959 [i]. ... 

 to Tahiti Tahiti

Tahiti is the largest island [i] of French Polynesia [i], located in the archipelago [i] of Society Islands [i]... 

 using no instruments.



Western navigation


Modern methods


There are several different branches of navigation, including but not limited to:
  • celestial navigation Celestial navigation

    Celestial navigation, also known as astronavigation, is a position fixing [i] technique that was d ... 

     - navigation by observation of the sun, moon and stars, and sometimes planets
  • pilotage - using visible natural and man made features such as sea mark Sea mark

    A sea mark, also seamark and navigation [i] mark, is a pilotage [i] aid which identifies the ... 

    s and beacon Beacon

    Beacons are fires lit on hills or high places, used either as lighthouse [i]s for navigation [i] at sea, ... 

    s
  • dead reckoning - using compass Compass

    A compass is a navigational instrument for finding directions on the earth.... 

     and log to monitor expected progress on a journey
  • Off-course navigation - allows for variables in heading by deliberately aiming to the one side of the destination.
  • waypoint navigation - using electronic equipment such as radio navigation and satellite navigation system Satellite navigation system

    Satellite navigation systems allow small electronic [i] devices to determine their location ... 

     to follow a course to a waypoint
  • position fixing - determining current position by visual and electronic means
  • collision avoidance using radar Radar

    RADAR is a system that uses radio [i] waves to detect, determine the direction and distance and/or speed ... 




Knowing the ship's current position is the main problem for all navigators. Early navigators used pilotage, relying on local knowledge of land marks and coastal features, forcing all ships to stay close to shore. The magnetic compass Compass

A compass is a navigational instrument for finding directions on the earth.... 

 allowing a course to be maintained and estimates of the ship's location to be calculated. Nautical chart Nautical chart

A nautical chart is a graphic representation of a maritime [i] area and adjacent coast [i]al regions ... 

s were developed to record new navigational and pilotage information for use by other navigators. The development of accurate systems for taking lines of position based on the measurement of stars and planets with the sextant Sextant

A sextant is a measuring instrument [i] generally used to measure the angle of elevation of a celestial object [i] ... 

 allowed ships to navigate the open ocean without needing to see land marks.

Later developments included the placing of lighthouse Lighthouse

An aid for navigation [i] and pilotage [i] at sea [i], a lighthouse is a tower [i] building or framework ... 

s and buoy Buoy

A buoy is a float [i]ing device that can have many different purposes, which determine whether the buoy ... 

s close to shore to act as marine signposts identifying ambiguous features, highlighting hazards and pointing to safe channels for ships approaching some part of a coast after a long sea voyage. The invention of the radio Radio

Radio is the wireless transmission of signals [i], by modulation [i] of electromagnetic waves [i] ... 

 lead to radio beacons and radio direction finders providing accurate land-based fixes even hundreds of miles from shore. These were made obsolete by satellite navigation systems.

Traditional maritime navigation with a compass uses multiple redundant sources of position information to locate the ship's position. A navigator uses the ship's last known position and dead reckoning, based on the ship's logged compass course and speed, to calculate the current position. If the set and drift, due to tide Tide

The tide is the cyclic rising and falling of Earth's ocean [i] surface caused by the tidal force [i]s of ... 

 and wind Wind

Wind is the roughly horizontal movement of air [i] caused by uneven heating of the Earth's surface. ... 

, can be determined, an estimated position can also be calculated.

Periodically, the navigator needs to confirm the accuracy of the dead reckoning or estimated position calculations using position fixing techniques. This is done by correctly identifying reference points and measuring their bearings from the ship. These lines of position can be plotted on a nautical chart Nautical chart

A nautical chart is a graphic representation of a maritime [i] area and adjacent coast [i]al regions ... 

, with the intersection being the ship's current location. Addition lines of position can be measured in order to validate the results taken against other reference points. This is known as a fix Fix

The word fix has several possible meanings:
... 

.

Celestial navigation systems are based on observation of the positions of the Sun Sun

|+ The Sun   |+
|-
... 

, Moon Moon

The Moon is Earth [i]'s only natural satellite [i]. ... 

 and star Star

A star is a massive, compact body of plasma [i] in outer space [i] that is held together by its ... 

s relative to the observer and a known location. Anciently the home port was used as the known location, currently the Greenwich Meridian or Prime Meridian Prime Meridian

The Prime Meridian, also known as the International Meridian or Greenwich Meridian, is the meridian [i] ... 

 is used as the known location for celestial charts.

Navigators could determine their latitude by measuring the angular altitude of Polaris Polaris

Polaris is the brightest star in the constellation [i] Ursa Minor [i].... 

 any time that it was visible . Determining latitude by the sun was a little more difficult since the sun's altitude at noon during the year changes for a given location.

Calculating the anticipated altitude of the sun for a given day and known position is done easily using Calculus Calculus

Calculus is a central branch of mathematics [i], developed from algebra [i] and geometry [i]. ... 

. However, prior to the development and formulation of its key principles in the latter part of the 17th century 17th century

As a means of recording the passage of time [i], the 17th century was that century [i] which lasted from ... 

 by Isaac Newton Isaac Newton

[i] [[[Old Style and New Style dates|OS]] [i]: [[25 December]] [i] [[1642]] [i]... 

 and Gottfried Leibniz Gottfried Leibniz

Gottfried Wilhelm Leibniz was a German [i] polymath [i] who wrote mostly in French and Latin.
... 

, tables of the sun's altitude during the year for a known port were used. The sun's angle over the horizon Horizon

The horizon is the line that separates earth [i] from sky [i]. ... 

 at noon was measured, and compared to the known angle at the same date as the known port. Local noon is easily determined by recording periodic readings of the altitude of the sun. Since periodic readings of the altitude will plot a sine wave Sine wave

[i], [[signal processing]... 

, the maximum reading is the one used for local noon.

Longitude is calculated as a time difference between the same celestial event at different locations. Noon was an easy event to observe. Local noon is determined while shooting the azimuth as described above. The time of the maximum altitude is easily determined by interpolating between periodic readings. The time of noon at the known location is carried by the navigator on an accurate clock. Then the local time of local noon is observed by the navigator. The difference of longitude is determined knowing that the sun moves to the west at 15 degrees per hour.

The need for accurate navigation led to the development of progressively more accurate clocks. Once accurate clocks were available, detailed tables for celestial bodies were created so that navigational activities could take place anytime during the day or night, rather than at noon.

In modern celestial navigation, a nautical almanac and trigonometric Trigonometry

Trigonometry is a branch of mathematics [i] dealing with angle [i]s, triangle [i]s and trigonometric function [i] ... 

 sight-reduction tables permit navigators to measure the Sun, Moon, visible planet Planet

The International Astronomical Union [i] , the official scientific [i] body for astronomical [i] nomenclature [i]... 

s or any of 57 principal navigational stars at any time of day or night. Theoretically from a single sight, a time within a second and a reasonable estimated position, a position can be determined within a third of a mile . In practice a "basket" of seven or more sights on different celestial bodies will allow one to discard the more obvious erroneous sights and still retain sufficient to plot a position.

Conceptually, the angle to the celestial object establishes a ring of possible positions on the surface of the Earth. A second sighting on a different object establishes an intersecting ring. Usually the navigator knows his position well enough to pick which of the two intersections is the current position. The math required for sight reduction is simple addition and subtraction, if sight-reduction tables are available. The numerous celestial objects permit navigators to shoot through holes in clouds. Most navigation is performed with the sun and moon.
Timekeeping requirement
Accurately knowing the time of an observation is important. Time is measured with a chronometer, a quartz watch Quartz clock

A quartz [i] clock [i] is a timepiece that uses an electronic oscillator [i] which is made up by a quart ... 

 or a shortwave Shortwave

Shortwave radio [i] operates between the frequencies [i] of 2,310 kHz [i] and 30&nb... 

 radio Radio

Radio is the wireless transmission of signals [i], by modulation [i] of electromagnetic waves [i] ... 

 broadcast from an atomic clock Atomic clock

An atomic clock is a type of clock [i] that uses an atom [i]ic resonance frequency standard [i] to feed ... 

. Without accurate time it is still possible to determine one's latitude Latitude

Latitude, usually denoted symbolically by the Greek letter f [i] , gives the location of a place on ... 

 by observing the highest point the sun makes in the sky each day - known as local noon.

A quartz wristwatch normally keeps time within a half-second per day. If it is worn constantly, keeping it near body heat, its rate of drift can be measured with the radio, and by compensating for this drift, a navigator can keep time to better than a second per month.

Traditionally, three chronometers are kept in gimbal Gimbal

A gimbal is a mechanical device that allows the rotation of an object in multiple dimensions.... 

s in a dry room near the center of the ship, and used to set a watch for the actual sight, so that the chronometers themselves do not risk exposure to the elements. Winding the chronometers was a crucial duty of the navigator.

The angle is measured with a special optical instrument called a "sextant Sextant

A sextant is a measuring instrument [i] generally used to measure the angle of elevation of a celestial object [i] ... 

" . Sextants use two mirrors to cancel the relative motion of the sextant. During a sight, the user's view of the star and horizon Horizon

The horizon is the line that separates earth [i] from sky [i]. ... 

 remains steady as the boat rocks. An arm moves a split image of the star relative to the split image of the horizon. When the image of the star touches the horizon, the angle can be read from the sextant's scale. Some sextants create an artificial horizon by reflecting a bubble. Inexpensive plastic sextants are available, though they have less accuracy than the more expensive metal models.

The LORAN LORAN

LORAN is a terrestrial navigation [i] system using low frequency [i] radio transmitter... 

 system is based on measuring the phase shift of radio Radio

Radio is the wireless transmission of signals [i], by modulation [i] of electromagnetic waves [i] ... 

 waves sent simultaneously from a master and slave station. Signals from these two point establish a hyperbolic curve for possible positions. A third source along with dead-reckoning will generally resolve to a single position.

GPS Global Positioning System

The Global Positioning System, usually called GPS, is the only fully-functional satellite navigation system [i]... 

 uses 3D trilateration Trilateration

Trilateration is a method of determining the relative positions of objects using the geometry [i] of triangle [i] ... 

 based on measuring the time-of-flight of radio waves using the well-known speed of light Speed of light

The speed of light in a vacuum [i] is an important physical constant [i] denoted by the letter c for ... 

 to measure distance from at least three satellites. This can be accomplished using low-cost quartz clocks because the satellites send time correction signals to the GPS receivers.

History


In the West, navigation was at first performed exclusively by dead-reckoning, the process of estimating one's present position based on the navigators' experience with wind, tide and currents.

Most sailors have always been able find absolute north from the stars, which currently rotate around Polaris Polaris

Polaris is the brightest star in the constellation [i] Ursa Minor [i].... 

, or by using a dual sundial Sundial

A sundial measures time [i] by the position of the sun [i].
... 

 called a diptych Diptych

[i]
[i]
... 

.

When combined with a plumb bob, some diptychs could also determine latitude. Basically, when the diptych's two sundials indicated the same time, the diptych was aligned to the current latitude and true north.


Another early invention was the compass rose Compass rose

| |-
| |}
A compass rose or wind rose, is a figure displaying the orientation of the cardinal direction [i] ... 

, a cross or painted panel of wood oriented with the pole star or diptych. This was placed in front of the helmsman.

Latitude was determined with a "cross staff" an instrument vaguely similar to a carpenter's angle with graduated marks on it. Most sailors could use this instrument to take sun sights, but master navigators knew that sightings of Polaris were far more accurate, because they were not subject to time-keeping errors involved in finding noon.

Time-keeping was by precision hourglasses, filled and tested to ¼ of an hour, turned by the helmsman, or a young boy brought for that purpose.

The most important instrument was a navigators' diary, later called a rutter. These were often crucial trade secrets, because they enabled travel to lucrative ports.

The above instruments were a powerful technology, and appear to have been the technique used by ancient Cretan Minoan civilization

The Minoans were a pre-Hellenic [i] Bronze Age [i] civilization in Crete [i] in the Aegean Sea [i] ... 

 bronze-age Bronze Age

... 

 trading empire. Using these techniques, masters successfully sailed from the eastern Mediterranean Mediterranean Sea

The Mediterranean Sea is a part of the Atlantic Ocean [i] almost completely enclosed by land: on the nor... 

 to the south coast of the British Isles.

Some time later, around 300, the magnetic compass Compass

A compass is a navigational instrument for finding directions on the earth.... 

 was invented in China China

China is a cultural region [i] and ancient civilization [i] in East Asia [i]. ... 

. This let masters continue sailing a course when the weather limited visibility of the sky.


Around 400, metallurgy allowed construction of astrolabe Astrolabe

The astrolabe is a historical astronomical [i] instrument [i] used by classical astronomers [i] ... 

s graduated in degrees, which replaced the wooden latitude instruments for night use. Diptychs remained in use during the day, until shadowing astrolabes were constructed.

After Isaac Newton Isaac Newton

[i] [[[Old Style and New Style dates|OS]] [i]: [[25 December]] [i] [[1642]] [i]... 

 published the Principia Philosophiae Naturalis Principia Mathematica

The Philosophiae Naturalis Principia Mathematica is a three-volume work by Isaac Newton [i] publish ... 

,
navigation was transformed. Starting in 1670, the entire world was measured using essentially modern latitude instruments and the best available clocks.

In 1730 the sextant Sextant

A sextant is a measuring instrument [i] generally used to measure the angle of elevation of a celestial object [i] ... 

 was invented and navigators rapidly replaced their astrolabes. A sextant uses mirrors to measure the altitude of celestial objects with regard to the horizon. Thus, its "pointer" is as long as the horizon is far away. This eliminates the "cosine" error of an astrolabe Astrolabe

The astrolabe is a historical astronomical [i] instrument [i] used by classical astronomers [i] ... 

's short pointer. Modern sextants measure to 0.2 minutes of arc, an error that translates to a distance of about 0.2 nautical miles .

At first, the best available "clocks" were the moons of Jupiter Jupiter

Jupiter is the fifth planet [i] from the Sun [i] and the largest [i] within the solar system [i] ... 

, and the calculated transits of selected stars by the moon. These methods were too complex to be used by any but skilled astronomers, but they sufficed to map most of the world. A number of scientific journals Franz Xaver von Zach

Baron Franz Xaver von Zach was an Austrian astronomer born at Pest [i].
... 

 during this period were started especially to chronicle geography.

Later, mechanical chronometers enabled navigation at sea and in the air using relatively unskilled procedures.

In the late 19th century 19th century

The 19th century lasted from 1801 [i] through 1900 [i] in the Gregorian calendar [i].
... 

 Nikola Tesla Nikola Tesla

Nikola Tesla he United States [i], Tesla's fame rivaled that of any other inven ... 

 invented radio Radio

Radio is the wireless transmission of signals [i], by modulation [i] of electromagnetic waves [i] ... 

 and direction-finding was quickly adapted to navigation. Up until 1960 it was commonplace for ships and aircraft to use radio direction-finding on commercial stations in order to locate islands and cities within the last several miles of error.

Around 1960, LORAN LORAN

LORAN is a terrestrial navigation [i] system using low frequency [i] radio transmitter... 

 was developed. This used time-of-flight of radio waves from antennas at known locations. It revolutionized navigation by permitting semiautomated equipment to locate geographic positions to less than a half mile . An analogous system for aircraft, VHF omnidirectional range VHF omnidirectional range

VOR, short for VHF Omni-directional Radio Range, is a type of radio navigation [i] system for aircraft [i] ... 

 and DME Distance Measuring Equipment

Distance Measuring Equipment is a transponder-based radio navigation technology that measures distance b... 

, was developed around the same time.

At about the same, TRANSIT, the first satellite-based navigation system was developed. It was the first electronic navigation system to provide global coverage.

Other radionavigation systems include:
  • Decca Decca Navigator System

    The Decca Navigator System was a hyperbolic [i] low frequency [i] radio navigation [i] system ... 

  • Omega OMEGA Navigation System

    OMEGA is the name for the first truly global radio navigation [i] system for aircraft, operated by the United States [i] ... 

    , a longwave Longwave

    The Longwave radio [i] broadcasting band are those frequencies between 153 - 279 kHz [i], which correspo ... 

     system developed by the United States Navy United States Navy

    The United States Navy is the branch of the United States armed forces [i] responsible for conducting naval [i] ... 

  • Alpha, a longwave Longwave

    The Longwave radio [i] broadcasting band are those frequencies between 153 - 279 kHz [i], which correspo ... 

     system developed by the Soviet Union Soviet Union

    The Union of Soviet Socialist Republics , more commonly known as the Soviet Union, was a Communist state [i] ... 




In 1974, the first GPS Global Positioning System

The Global Positioning System, usually called GPS, is the only fully-functional satellite navigation system [i]... 

 satellite was launched. The GPS system now permits accurate geographic location with an error of only a few metres, and precision timing to less than a microsecond. GLONASS GLONASS

GLONASS is a radio satellite navigation system [i], the Russian [i] counterpart to the United States [i] ... 

 is a positioning system launched by the Soviet Union Soviet Union

The Union of Soviet Socialist Republics , more commonly known as the Soviet Union, was a Communist state [i] ... 

. It relies on a slightly different geodesic model of the Earth. Galileo Galileo positioning system

The Galileo positioning system is a proposed satellite navigation system [i], to be built by the European Union [i]... 

 is a competing system, that will be placed into service by the European Union European Union

The European Union is an intergovernmental [i] and supranational [i] ... 

.

"Point system" measure of direction


A "point" is defined as one eighth of a right angle Right Angle

Sorry, no overview for this topic 

, and therefore equals exactly 11.25 degrees. The full circle of 360 degrees contains 32 points. For example, a bearing of northwest by north differs by one point from a northwest bearing, and by a point from a north-northwest one. Naming the points of the compass from memory is called "boxing the compass"

See also

  • Air navigation Air navigation

    The principles of air navigation are the same for all aircraft [i], big [i] or small [i]. ... 

  • Great-circle distance explains how to find that quantity if one knows the two latitudes and longitudes.
  • Localization
  • Satellite navigation system Satellite navigation system

    Satellite navigation systems allow small electronic [i] devices to determine their location ... 

  • Global Positioning System Global Positioning System

    The Global Positioning System, usually called GPS, is the only fully-functional satellite navigation system [i]... 

  • GLONASS GLONASS

    GLONASS is a radio satellite navigation system [i], the Russian [i] counterpart to the United States [i] ... 

  • Galileo positioning system Galileo positioning system

    The Galileo positioning system is a proposed satellite navigation system [i], to be built by the European Union [i]... 

  • Beidou navigation system
  • Decca Navigation System Decca Navigator System

    The Decca Navigator System was a hyperbolic [i] low frequency [i] radio navigation [i] system ... 

  • Loran LORAN

    LORAN is a terrestrial navigation [i] system using low frequency [i] radio transmitter... 

  • Chronometer
  • Sextant Sextant

    A sextant is a measuring instrument [i] generally used to measure the angle of elevation of a celestial object [i] ... 

  • Nautical chart Nautical chart

    A nautical chart is a graphic representation of a maritime [i] area and adjacent coast [i]al regions ... 

  • Franz Xaver, Baron Von Zach Franz Xaver von Zach

    Baron Franz Xaver von Zach was an Austrian astronomer born at Pest [i].

... 

, a scientific editor and astronomer, first located many places geographically.

Sources


  • Admiralty Manual of Seamanship ISBN 0-11-772696-6

External links

  • News site on wireless navigation services
  • - U.S Army Manual.
  • - complete online edition of Nathaniel Bowditch Nathaniel Bowditch

    Nathaniel Bowditch was an early American [i] mathematician [i], who wrote on ocean navigation [i] ... 

    's American Practical Navigator


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