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CHAPTER 1INTRODUCTION TO NAVIGATION
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• Locate their position
• Travel from one place to another
Navigation enables mariners to:
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Terrestrial Sphere or Globe
A sphere on which is depicted a map
of the Earth (terrestrial globe)
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North Pole
South Pole
The north and south poles are
located at the ends of the axis on
which Earth rotates.
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Meridians
Lines running through the poles and
around the Earth are called meridians.
North Pole
South Pole
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The great circle of the Earth that isequidistant from the North Pole and
South Pole
(Cuts every meridian in half)
Equator
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EQUATOR
60°
30°
0° 0°
60°
30°
60°
30°
60°
30°Northern Hemisphere
Southern Hemisphere
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South Pole
North Pole
Eastern
Hemisphere
WesternHemisphere
South Pole
North Pole
NorthernHemisphere
SouthernHemisphere
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Half of a globe
Hemisphere
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Meridians and the equator are called
great circles because they divide the
globe into two halves.
EQUATOR
S pole
N pole
LONGITUDE
W E
GreenwichEngland
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Any circle formed by the intersectionof a plane passing through the Earth’s
center, with the Earth’s surface
Great Circle
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The equator is the only great circlegoing around the globe from east to
west. The other lines are called parallels,
since they go around the globe parallel
to, and north and south of the equator.
Parallels
Equator
PrimeMeridian
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One exampleof a great circle
N
S
Greenwich meridian
(longitude 0°)
Equator(latitude 0°)
A great circle is any circle whose
plane passes through the Earth’s
center, no matter what direction.
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What is the significance of the
great circle in navigation?
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What is the significance of the
great circle in navigation?
The shortest distance between
two points on the Earth lies along
the path of a great circle passingthrough those two points.
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Any unbroken part of thecircumference of a circle or
other curved line
Arc
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The distance around a circular area
Circumference
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One exampleof a great circle
N
S
Greenwich meridian(longitude 0°)
Equator(latitude 0°)
Center ofThe Earth
360°360°
Regardless of the
size of the circle,the circumference
has 360°.
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1°= 60 minutes
1 minute = 60 seconds
360°
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Measurement along a meridianor parallel is expressed in termsof degrees, minutes, and seconds
of arc (the curve of the circle).
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0°
0°
The Greenwich meridian is numbered0, or 0°, and is called the prime
meridian.
Greenwich RoyalObservatory
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The meridian running throughGreenwich, England, from which
longitude east and west is measured
Prime Meridian
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NORTH
POLE
INTERNATIONAL DATE LINE
PRIME MERIDIAN
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International Date Line
180°InternationalDate Line
Old Date
New Date
New Day
Old Day
Noon
Midnight
International
Date Line
0°PrimeMeridian
Eastern
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Equator
Western Hemisphere
Eastern
Hemisphere International
Date Line
PacificOcean
Prime
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Meridians (longitude lines) between the
prime meridian and 180th meridian are
numbered 0°to 180°east (E) or west (W).
Meridians
PrimeMeridian
0°Longitude
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Measurement of position east or westfrom the prime meridian
Longitude
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The distance of arc east (E) or west (W)
of the prime meridian, measured along
a parallel
Longitude
PrimeMeridian
Greenwich
W E
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Longitude Lines
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Measurement of position north orsouth of the equator
Latitude
Latitude
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Latitude
The distance of arc north (N) orsouth (S) of the equator, measured
along a meridian
Latitude Longitude
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Grid system of latitude and longitude
lines
Latitude Longitude
Primemeridian
Equator
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LATITUDE LONGITUDE
EARTH’S
GRID
90°90°
Remember!
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NorthLatitude
SouthPole
NorthPole
WestLongitude
EastLongitude
Remember!
SouthLatitude
• Latitude is always measured north
or south from 0°through 90°
• Longitude is always measured eastor west from 0°through 180°
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Express latitudeand longitude in
degrees, minutes,
and seconds.
Washington, D.C.
38°58'52"Nlatitude
77°01'12"Wlongitude
W hi gt D C
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Washington, D.C.
38°59'N latitude
77°01'W longitude
This is spoken
as thirty-eightdegrees,
fifty-nine
minutes north,seventy-seven
degrees, one
minute west.
W hi D C
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Washington, D.C.
38°58'52"Nlatitude
77°01'12"Wlongitude
Seconds are usedonly if very exactlocations are
required.
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One minute of arc measured alongthe equator, or any other great
circle
Nautical Mile
6 865 Nautical Miles
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6,865 Nautical Miles
6,888Nautical Miles
Equatorial Diameter - 6,888 Nautical Miles
Polar Diameter - 6,865 Nautical Miles
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Comparison of a Statute Mileto a Nautical Mile
NAUTICAL MILE = 6,076 FEET OR 2,000 YARDS
STATUTE MILE = 5,280 FEET OR 1760 YARDS
0 500 1000 1500 2000
YARDS
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Dividers
Distance on a chart is measured along
the meridian, using a tool called dividers.
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Measuring Distance
P
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30 NauticalMiles
52 NauticalMiles
60 Nautical
Miles
60°
30°
0°
P
Length of a Degree of Longitude at
Various Latitudes
Parallel
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Distances are notmeasured on
parallels of latitude,
because one minuteequals one nautical
mile only along the
equator.
Dividers
Remember!
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1 knot = 1 nautical mile per hour
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Origin of the term knot
An old sailing day’s log for measuring
the speed of a vessel
Chip Log
True Nautical Direction
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True Nautical Direction
Measured from true north (North Pole)
as located on a globe
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32-point Compass
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The four primary directions of thecompass; the north, south, east,
and west points
Cardinal Points
Cardinal Directions
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North, South, East, West:
the four primary directions
of the compass
Cardinal Directions
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On the compass rose above, only northis filled in. Fill in the rest of the points
on the compass, going clockwise, using
the standard abbreviations.
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On the compass rose above, only northis filled in. Fill in the rest of the points
on the compass, going clockwise, using
the standard abbreviations.
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Express nautical directions in
three digits:
065°(Zero six five degrees)
090°(Zero nine zero degrees)
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Course – Direction the ship is steered
through the water
Heading – Direction the ship is facing
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MAGNETIC COMPASS
Magnetic compassesgive direction relativeto magnetic north.
GYROCOMPASS
Gyrocompassesreference truenorth.
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Navigational compass containing agyroscope, that, when adjusted forlatitude and speed, shows true northor communicates this information
to one or more gyro repeaters.
Gyrocompass
TRUEMAGNETIC
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TRUENORTH
MAGNETICNORTH
Magnetic Compass
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g p
A compass having a magnetizedneedle generally in line with the
magnetic poles of the Earth
NORTHMAGNETIC
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United States
Canada
MAGNETICPOLE
Magnetic compasses point to theEarth’s northernmost magnetic pole,
located in northern Canada.
V i i A l
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Difference between magnetic and truenorth in degrees
Variation Angle
How Variation Affects the Compass
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VariationNorth Pole
Remember, variation changesdepending on your position relative
to magnetic north.
o a at o ects t e Co passMagnetic North
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To convert from magnetic to true,
just add or subtract the variation
at your location to the magneticbearing.
Remember — Westerly variationsare subtracted, and easterly
variations are added.
Converting Direction
Example of Converting Direction
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p g
If your ship was heading 080°magneticin a region where the variation was10°East, what is the true heading?
Example of Converting Direction
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p g
If your ship was heading 080°magneticin a region where the variation was10°East, the true heading would be
080°+ 10°, or 090°true.
Example of Converting Direction
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If your ship was heading 270°true in aregion where the variation was 10°East,
what is the magnetic heading?
Example of Converting Direction
Example of Converting Direction
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If your ship was heading 270°true in aregion where the variation was 10°East,
the true heading would be 270° – 10°,
or 260°magnetic heading.
Example of Converting Direction
B i
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The direction of an object from anobserver, measured clockwise in one
of three standard ways:
• True bearing
• Magnetic bearing• Relative bearing
Bearing
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TN
True Bearing
090°TRUE
BEARING
Light
House
True Bearing
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Bearing using true north as thereference
True Bearing
TRUE NORTHMAGNETIC
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Difference between true and magnetic bearing
TRUE NORTHNORTH
Light
House
Magnetic Bearing
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The direction of an object measuredclockwise from magnetic north
Magnetic Bearing
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TN
Relative Bearing
RELATIVE
BEARING030°
Light
House
Relative Bearing
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The direction of an object measuredclockwise from the ship’s head (bow)
Relative Bearing
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When recording a bearing, assume it to
be a true bearing unless followed by theletters M or R.
030°M means 30°right of magnetic north
030°R means 30°off the starboard bow
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Objects seen by lookouts are reported
in terms of relative bearing by degrees.
Relative Bearings
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• Dead ahead, or bow – 000°R• Starboard beam – 090°R• Dead astern – 180°R
• Port beam – 270°R
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To emphasize that it is a true bearing,the letter T (for example 030°T) follows
the three-digit true bearing, spoken
―030 degrees true.‖
TN
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True Bearing = Relative Bearing + True Heading
(Subtract 360°if sum is greater than 360°)
090°TRUE
BEARING
RELATIVEBEARING
030°
LightHouse
Nautical Chart
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Type of map used to navigate onwater
Nautical Chart
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Hydrography
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Science of measurement, description,and mapping of the Earth’s surfacewaters, with special reference to their
use for navigation
Hydrographic informationgiven on a chart includes:
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• Water depths• Nature of bottom• Overhead obstructions• Navigation aids; buoys,
lights, and anchorages
given on a chart includes:
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Globe
Impossible to
work navigation
problems orchart courses
Chart
Necessary to
work navigationproblems
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Makers of maps and charts who use
math to work out chart projection
techniques
Cartographers
It is necessary
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It is necessary
to convert the
round surface ofthe globe to one
that is flat and
two-dimensional(having only
length andwidth)—to
a flat piece of
paper on which achart is drawn.
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Chart projections
C y l i n
d r i c a l
M e r
c a t o r
C o n i c a l
P e r s p e c t i v e C
o n i c
P l a n a r
O
r t h o g r a p h i c
Chart Projection
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Flat surface representative of theEarth
Chart Projection
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Mercator Projection
The best-known map or chart projection
Mercator Projection
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Earth is projected onto acylinder-shaped piece of paper,
wrapped around the globe at theequator
Mercator Projection
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A projection on which any rhumb line is shownas a straight line, used chiefly in navigation,though the scale varies with latitude and aerialsize and the shape of large areas are greatly
distorted
Conformal Projection
Great Circle
Track Rhumb Line
Rhumb Line
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A curve on the surface of a spherethat cuts all meridians at the same
angle; the path taken by a vessel oraircraft that maintains a constantcompass direction
Rhumb Line
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Small scales
are used todepict largeareas on a
chart, andlarge scales
are used to
depict smallareas.
Measuring distance on a chart
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If an inch on the chart represents 50 miles,
what would five inches represent?
Measuring distance on a chart
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If an inch on the chart represents 50 miles,
what would five inches represent?
250 Miles
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Nautical Sailing
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Types of Charts
Harbor
Nautical charts have information forsafe navigation, such as:
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• Symbols, figures, and abbreviations• Depth of water • Type of bottom
• Navigational aids
g ,
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Harbor charts are large-scale charts thatshow harbors and their approaches in
detail
Coastalcharts are
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charts areintermediate-
scale chartsused tonavigate a
vessel whoseposition maybe determinedby landmarks
and lights,buoys, orsoundings
offshore
Sounding
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The act of measuring the depth of anarea of water
Sounding
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General
ocean sailingcharts aresmall-scalechartsshowing theapproachesto large
areas of thecoast.
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INTRODUCTION TO NAVIGATION
End of Part 1
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INTRODUCTION TO NAVIGATION
Part 2
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Depths ofwater may
be given infeet, fathoms,or meters.
Fathom (of depth)
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A unit of length equal to six feet(1.8 meters); used chiefly in nautical
measurements
( p )
Plotting
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g
Plotting
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In order to use the nautical chart for
navigating, you must know somethingabout how courses, bearings, andlines of position are plotted on it.
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Parallel Rulers
Parallel Rulers
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A pair of straightedges connected bytwo pivoted crosspieces of equal
length so as to be parallel at all times;used for various navigationalpurposes, especially for transferring
the bearing of a plotted course to acompass rose
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Protractor
An instrument having a graduated arcfor plotting or measuring angles
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Three-Arm
Protractor
Parallel Motion
Protractor (PMP)
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Measuring
Distance on aMercator Chart
Fix (position)
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Accurate position determined withoutuse of any previous position, using
visual, electronic, or celestialobservation
(p )
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A line indicating
a series of possiblepositions of a ship
as a result of
observation ormeasurement
Line of Position
(LOP)
SPIRE
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Lines of Position
CAPE
RANGE BEARING
TANGENT
DISTANCE ARC
Bearing Lines of Position
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Lines corresponding to the bearingsare plotted on the chart. They are
labeled with the 4-digit time of
observation above the line
Visual Range
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Two landmarks or navigation aids areobserved in line, one behind the other
RearMarker
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Visual RangeRear Marker
Front Marker
Front
Marker
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A circular line of position
Distance Arc
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Devices used to
measure distanceto a landmark
Radar Stadimeter
Sextant
Stadimeter
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Optical distance-measuring device
that measures angles to determinedistance to an object using as a
reference the distance to an object ofknown height
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Stadimeter
Sextant
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An astronomical instrument used todetermine latitude and longitude at
sea by measuring angular distances,especially the altitudes of Sun, Moon,and stars
Sextant
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Most commonly used
Obtain a fix with these combinations
of lines of position:
• Two or more lines of bearing
• A distance arc and a line of bearing• Two or more distance arcs
• A visual range and a distance arc
• A visual range and a line of bearing• Two simultaneous visual ranges
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A fix from twocrossed bearings
TOWER
1545
DOUBLE POINT
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A fix by a
bearing and
distance fromthe same object
1314
LIGHT
SMITHPOINT
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A fix from three
intersectingbearings
HALL REEF LIGHT
JONES
BLUFF
LIGHTW
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A fix from twovisual ranges
LIGHT
X
LIGHTW2152
Visual Fix
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Electronic/Celestial Fix
Dead Reckoning Position
Estimated Position
Plotting Symbols
LIGHTHOUSE
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1300 FIX
1245 FIX
TOWER
Marking Ship’s Fix
FACTORY
LIGHTHOUSE
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The determinationof position by
visual means
Piloting
Piloting
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The determination of the course or
position of a ship or airplane by anyof various navigational methods or
devices
CompassNavigation Aids
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Fathometer
Stadimeter
Radar
Buoy
Lighthouse
Bearing Circle
Chart
Echo sounder (Fathometer)
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Sonic device used to measure waterdepth
Fathometer
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Echo Sounder
Sound Ranging
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SONAR (S0und NAvigation
and Ranging)
A method for determining the distancebetween a point and the position of a
sound source by measuring the timelapse between the origin of the soundand its arrival at the point
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D=1/2 t x 4,800 feet per second
In piloting, soundings are usuallytaken every 5 minutes.
A f h
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A fathometer may
establish a fixwhen a navigatorhas a chart
showing accuratebottom contours,
but in practice it
usually serves asa check.
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Electronic navigation is
a form of piloting
Electronic Navigation
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• Equipment malfunction
• Insufficient coverage
Disadvantages
• Unaffected by weather
• Determines ship position electronically
Advantages
RADAR
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RAdio Detection And Ranging
RADAR
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Navigation system using reflectedpulses of energy
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Disadvantage of radar, as a navigationalaid, is that maximum range is currently
limited to slightly more than line of sight
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Use Reliable Radar Targets
Lighthouse
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Radar System
PIPS
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Targets appear on the scope as
bright spots of light called pips
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The most common scope used is a planposition indicator (PPI), which gives abird’s eye view of the radar coverage
area the transmitting ship in the center
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• Very accurate and rapid
• Used to locate and track storms
• Very important for ship safety
Loran
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Long Range Navigation
Loran
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Long range navigation system usingradio signals
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Loran is a systemof radio signals
broadcast bystations of known
position.
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GPS Satellites
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The newest electronic navigation system
is the Global Positioning System (GPS)
Satellite Navigation
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GPS Navigation
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GPS is used for a wide variety of land
navigation purposes, including positionand direction-finding in many new cars
and golf carts.
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Differential GPS
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Enhancement by to basic GPS: corrections topositioning information is determined by land-based receivers and transmitted to users.Capable of accuracy to within + 1 meter.
Ship’s Inertial NavigationSystem (SINS)
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Provides accurate and continuous
dead reckoning (DR) positions
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SINS gives ships an accurate and
continuous dead reckoning positionusing three gyroscopes to determinelatitude, vertical, and longitude with
great accuracy
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The widespread availability of GPS is
fast making celestial navigation at sea
a vanishing art
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HORIZONMIRROR
INDEX MIRROR
TELESCOPE
LENSHOODINDEX ARM
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VERNIERSCALE
MICROMETERSCREWDRUM SCALE
ARCSCALE
Reading the Vernier Scale
Sextant — Nomenclature
Dead Reckoning
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Calculation of one's position on thebasis of distance run on various
headings since the last preciselyobserved position, with as accurateallowance as possible being made for
wind, currents, compass errors
Visual Fix
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Electronic/Celestial Fix
Dead Reckoning Position
Estimated Position
Plotting Symbols
FIXDR POSITION
DESTINATION
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DEAD RECKONING TRACK1200
S d D if
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Set and Drift
Set – The direction in which a ship
is forced by wind and current
Drift – The speed of that force in
knots
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A line is drawn from the fix on the
ship’s course of 073°. Course is
l b l d b th li d th
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labeled above the line, and thespeed of 15 knots is labeled below
the line.
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Th t i l b l d ―1300DR ‖
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The spot is labeled ―1300DR.‖
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Using dividers, mark a spot 7½
miles from the 1300 DR position
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along the direction the ship issteaming.
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Label position 1330DR, anddraw a new course line in thedirection of 117°.
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At sea, the navigator will use celestial or
electronic means to get positive fixes atleast every morning, noon, and evening.
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Currently, electronic plotters incorporate
continuous fix updates received fromGPS, then project current ship’s positionand the DR track onto an electronic chartprojection on a computer screen.
Define navigation.
Q.1.
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Define navigation.
Q.1.
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The art and science by whichmariners find their ship'sposition and guide it safely
from one point to another
A.1.
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What is a chart?
Q.2.
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A type of map used to navigateon water
A.2.
What are the imaginary linesthat run through the poles andaround the Earth?
Q.3.
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around the Earth?
What are the imaginary linesthat run through the poles andaround the Earth?
Q.3.
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around the Earth?
Meridians or lines of longitudeA.3.
What divides the Earth into thenorthern and southernhemispheres?
Q.4.
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hemispheres?
What divides the Earth into thenorthern and southernhemispheres?
Q.4.
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hemispheres?
The EquatorA.4.
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Are all meridians great circles?
Q.6.
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Are all meridians great circles?
Q.6.
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YesA.6.
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What is the name given to themeridian on which the RoyalObservatory at Greenwich
Q.7.
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Observatory at Greenwich,England, is located?
The Prime MeridianA.7.
Do parallel and latitudinal linesrun in the same direction?
Q.8.
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Do parallel and latitudinal linesrun in the same direction?
Q.8.
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YesA.8.
Navigators determine theirship's position using whatcoordinate system?
Q.9.
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coordinate system?
Navigators determine theirship's position using whatcoordinate system?
Q.9.
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coordinate system?
Latitude and LongitudeA.9.
If the latitude of the equator is0 degrees, what is the latitudeof the North Pole?
Q.10.
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of the North Pole?
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Latitude and longitude areexpressed in what units?
Q.11.
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How many degrees are there ina circle?
Q.12.
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360A.12.
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Approximately how manyyards are in a nautical mile?
Q.13.
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2000 yds.A.13.
What are meridians?
Q.14.
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What are meridians?
Q.14.
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Great Circles which passthrough the Earth’s poles
A.14.
In navigation what is a ―knot?‖
Q.15.
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In navigation what is a ―knot?‖
Q.15.
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A seagoing term meaning onenautical mile per hour
A.15.
How is direction expressed?
Q.16.
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How is direction expressed?
Q.16.
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As an angle between 000degrees and 359 degrees
A.16.
What are the cardinal points?
Q.17.
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What are the cardinal points?
Q.17.
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North, East, South, and WestA.17.
Define ―true bearing.‖
Q.18.
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Define ―true bearing.‖
Q.18.
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The direction of an objectmeasured clockwise from truenorth
A.18.
What does chart projectionentail?
Q.19.
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What does chart projectionentail?
Q.19.
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Projecting a three-dimensionalobject on a two-dimensional
plane
A.19.
What is the best-known map orchart projection called?
Q.20.
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What is the best-known map orchart projection called?
Q.20.
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Mercator projectionA.20.
What are the three basic typesof charts used by the Navy?
Q.21.
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What are the three basic typesof charts used by the Navy?
Q.21.
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a. Navigationalb. Harbor
c. General ocean sailing charts
A.21.
What is a cartographer?
Q.22.
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What is a cartographer?
Q.22.
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One who makes maps andcharts
A.22.
What is a fix?
Q.23.
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What is a fix?
Q.23.
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An accurate positiondetermined without referenceto any previous position. The
intersection of 2 or more linesof position.
A.23.
What is the difference betweendirections measured on agyrocompass and those
Q.24.
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measured on a magneticcompass?
What is the difference betweendirections measured on agyrocompass and those
Q.24.
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measured on a magneticcompass?
Directions measured on agyrocompass are relative to
true north, whereas directionsmeasured on a magneticcompass are relative tomagnetic north.
A.24.
How is distance on a Mercatorchart measured?
Q.25.
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How is distance on a Mercatorchart measured?
Q.25.
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On a flat surface along anymeridian where one minute of
latitude equals one nauticalmile
A.25.
If a half-inch on a chartrepresents 10 miles, how manyinches would represent 100
il ?
Q.26.
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miles?
If a half-inch on a chartrepresents 10 miles, how manyinches would represent 100
il ?
Q.26.
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miles?
Five inchesA.26.
What is the shortest distancebetween two points on aglobe?
Q.27.
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What is the shortest distancebetween two points on aglobe?
Q.27.
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An arc of a great circleA.27.
How many feet are in onefathom?
Q.28.
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How many feet are in onefathom?
Q.28.
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Six feetA.28.
What is a line of position(LOP)?
Q.29.
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What is a line of position(LOP)?
Q.29.
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A line drawn on a chart alongwhich a ship must be located,
based on a bearing or distancefrom an object or landmark
A.29.
A ship that is traveling southobserves another ship on arelative bearing of 041 degrees.
Wh t i th t b i t th t
Q.30.
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What is the true bearing to thatship?
A ship that is traveling southobserves another ship on arelative bearing of 041 degrees.
Wh t i th t b i t th t
Q.30.
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What is the true bearing to thatship?
221 degrees true(180 degrees + 041 degrees)
A.30.
A ship that is traveling northobserves another ship on arelative bearing of 041 degrees.
Wh ld th t hi
Q.31.
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Where would you see that shipin relation to your ship?
A ship that is traveling northobserves another ship on arelative bearing of 041 degrees.
Where o ld o see that ship
Q.31.
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Where would you see that shipin relation to your ship?
Off the starboard bowA.31.
A round body whose surface is at all
Sphere
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A round body whose surface is at allpoints equidistant from the center
A great circle of the Earth passing
Meridian
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A great circle of the Earth passingthrough the poles and any givenpoint on the Earth's surface
Lines of latitude with only the equator
Parallel
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Lines of latitude with only the equatorbeing a great circle
A two pointed compass used for
Dividers
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A two –pointed compass used fordividing lines and measuring
Compass Card
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A circular card with magnets attachedto its underside, the face divided on its
rim into points of the compass, degreesclockwise from north, or both, andfloating or suspended from a pivot soas to rotate freely
Directional instrument that points to
Magnetic Compass
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Directional instrument that points tothe north magnetic pole
Aligned with true north by means of aspinning gyroscope
Gyrocompass
The state of being misrepresented
Distortion
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The state of being misrepresenteda false
Developmentof a Mercator
Projection
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Sounding
LORAN CHART
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Electronic navigation system using
Global Positioning System (GPS)
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Electronic navigation system usingsatellites