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6 Projection, Distances

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Navigation

NAU 102
Lesson 6
Lesson 6
Position, Distance & Direction
•Where am I?

•How far is it?

•Which way?
Position

Shown relative to fixed object.


E.g. 1 nm north of
Chesapeake light
Position

Shown by Lat/Long.

(e.g. 36° 50.6’N


075° 31.2’W)
Position

Plotting Lat/Long.
Position
Position
Position
Loran

Long Range Navigation

Hyperbolic system
Based on time differences in received
signals from Master and Secondary
stations.
Results in hyperbolic lines of position
(LOP’s)
Loran
Components

Master transmitting station

Two or more Secondary stations

Shipboard antenna and receiver

Loran charts
Loran Chains
Loran

Time Differences are displayed on a


shipboard receiver.
Position Symbols

Visual fix – circle

Electronic fix – Triangle

R-fix Running fix – circle labeled “R-fix”

Estimated position – square

DR position – half circle


Direction

Different ways to measure/state direction.


True direction – angle from true north (°T)

Magnetic direction – angle from magnetic


north (°M)

Relative direction – angle from ship’s


heading (°R)
Direction

Direction is stated in degrees or points.

e.g. 045°T vs. North East

e.g. 315°R vs. 2 points to port


Direction
Degrees
Counted clockwise
from the reference
line.
Stated in 3 digits
N = 000°
E = 090°
S = 180°
W = 270°
Direction

Points

32 points in a
circle

11.25° = 1 point
Direction
Boxing the
Compass
Cardinal Points

N = 0 pts = 000°
E = 8 pts = 090°
S = 16 pts = 180°
W = 24 pts = 270°
Direction

Intercardinal Points
Midway between
cardinal points
NE = 4 pts = 045°
SE = 12 pts = 135°
SW = 20 pts = 225°
NW = 28 pts = 315°
Direction

Halfway between cardinal & intercardinal


Stated cardinal then intercardinal

NNE = 2 pts = 022.5° NNW = 30 pts = 347.5°


ENE = 6 pts = 067.5° WNW = 26 pts =
292.5°
WSW = 22 pts = 247.5°
ESE = 10 pts = 112.5°
SSE = 14 pts = 157.5° SSW = 18 pts = 202.5°
Direction
Remaining points
Nearest cardinal or
intercardinal point by the
next cardinal point
N by E = 1 pt = 011.25°
NE by N = 3 pts = 033.75°
NE by E = 5 pts = 056.25°
E by N = 7 pts = 078.75°
Etc., etc.
Direction

Relative directions can be stated by


degrees or points.

e.g. 045° R or 4 points to stbd

e.g. 315° R or 4 points to port


Direction

Bearing

Direction of one object to another


Stated True, Magnetic or Relative
Can be in Degrees, Points or Words

e.g. stbd beam, fine on port bow, stbd


quarter, 2 points abaft the beam, etc.
Direction
Direction

Bearing
“To” vs. “From”

A to B = 060°T

A from B =
240°T
Direction

You can convert between relative


and true bearings.
Relative Bearing + Ship’s Heading
= True Bearing
Direction

R+S=T

R=T–S
And
S=T-R
Direction
Example
You are on course 170° T and you
sight a vessel abeam to starboard.
What is the true bearing of the vessel?
R+S=T
90° + 170° = 260° T
Direction
Example
You are on course 250° T and on radar
you detect a vessel at 125° T. At what
is the relative bearing to the vessel?
Direction
You are on course 250° T and on radar you detect a
vessel at 125° T. At what is the relative bearing to the
vessel?
R=T-S
R = 125° - 250° = -125° R
-125° R ???
If < 0, add 360°
360° - 125° R = 235° R
Distance

Measured using latitude scale on a


Mercator projection chart.
Use the scale at the mid-latitude of
what you are measuring.
Distance
Introduction to Navigation

Questions?

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