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NAVIGATION
INTEREST

From NAM Flying School-Airport, there will be a specific
object / landmark that we can use to reach the Main Apron.
The same is when we are in a journey with a/c. For
example, we were going to training area, there will be an
iconic landmark to guide us.
The process of going from one place to other place is
called NAVIGATION.
For visual navigation, one of the most important objects
for navigation is a landmark, called CHECKPOINT.
NEED

Navigation ability is needed in every flight, since we
go to other place and we need to know how to get
there and come back again.
Remember, if you can’t navigate properly, it could
lead to something called lost position.
TOPIC

BASIC
NAVIGATION
REVISION
Before flight, we always use navigation for everyday
activities, example: go to school, work, and market.
In flight, we must apply what we know from our everyday
activities. If we want to go to places, we need :
DIRECTION
CHECKPOINT
DISTANCE
TIME
FUEL
ALTITUDE
Navigation is process monitor and controlling A/C from a place
to another place.
OBJECTIVE

Define Navigation
SCOPE

Basic Navigation
Navigator
Earth
Direction
Distance
Time
Altitude
Speed
REFERENCES

The Air Pilot’s Manual vol. 3 : Air Navigation
PHAK chap. 15 : Navigation
ANY QUESTION?

SHALL WE CONTINUE?
OBJECTIVE :
DEFINE NAVIGATION
NAVIGATOR
Navigation is process monitor and controlling A/C
from a place to another place.
We must realize, as a pilot are navigator, since our
duty to monitor and control the A/C.
As a pilot, to be able to control it correctly, we need to AVIATE.
Then, we need to be able to tell where we are going. So the pilot’s
role is to NAVIGATE.
Last but not least, we must know that a pilot didn’t work alone.
Along way, there must be a contact with another aerodrome, i.e.
Approach, Tower, and Radar. So, we also need to COMMUNICATE.
OBJECTIVE :
DEFINE NAVIGATION
NAVIGATOR
AVIATE.
NAVIGATE.
COMMUNICATE.
OBJECTIVE :
DEFINE NAVIGATION
EARTH
Earth’s Shape
Oblate spheroid
flattened at the pole
bulge around the equator
OBJECTIVE :
DEFINE NAVIGATION
EARTH
Cardinal Heading
N
E
S
W

: 360 / 000
: 090
: 180
: 270
OBJECTIVE :
DEFINE NAVIGATION
EARTH
The nature of a sphere is such that any point on it is exactly like any other
point. There is neither beginning nor ending as far as differentiation of
points is concerned.
We use a system of coordinates to locate positions on the earth by means
of imaginary reference lines.
These lines are known as :
parallels of latitude
meridians of longitude.
OBJECTIVE :
DEFINE NAVIGATION
EARTH
Parallel of Latitude
The earth rotates on its north-south
axis, which is terminated by the two
poles.
The equatorial plane is constructed at
the midpoint of this axis.
The particular parallel of latitude
chosen as 30° N, and every point on this
parallel is at 30° N.
OBJECTIVE :
DEFINE NAVIGATION
EARTH
Meridian of Longitude
Which is the measurement of this
east-west distance.
Longitude, unlike latitude, has no
natural starting point for numbering.
Longitude is counted east and west
from this meridian through 180°.
OBJECTIVE :
DEFINE NAVIGATION
EARTH
Latitude and Longitude
A circle contain 360° of arc
1° of arc
=60’ of arc
1’ of arc
=60” of arc
Example :
41°10’20” N
10°56’10” S
02°09’29” S

21°54’03” W
122°53’03” E
106°08’05” E
OBJECTIVE :
DEFINE NAVIGATION
EARTH
Latitude and Longitude
OBJECTIVE :
DEFINE NAVIGATION
EARTH
Equator : 0º of Latitude
Pole
90º of Latitude North
90º of Latitude South
OBJECTIVE :
DEFINE NAVIGATION
EARTH
Prime Meridian
International Date Line
OBJECTIVE :
DEFINE NAVIGATION
EARTH
Earth’s Magnetic Field
Generated because of the
molten rock in earth’s core
keep moving and creating
convection flow.
The flow resulted in high
amount of electricity inside
the earth. That caused a
magnetic field around the
earth.
OBJECTIVE :
DEFINE NAVIGATION
EARTH
Latitude
Longitude
OBJECTIVE :
DEFINE NAVIGATION
EARTH
JAKARTA
Latitude
6°20’00” S
Longitude
106°08’00”E
OBJECTIVE :
DEFINE NAVIGATION
EARTH
JEDDAH
Latitude
21°54’33” N
Longitude
39°17’28” E
OBJECTIVE :
DEFINE NAVIGATION
EARTH
DISTANCE
Latitude

21°54’33”
6°20’00” +
28° 14’ 33”
OBJECTIVE :
DEFINE NAVIGATION
EARTH
DISTANCE
Longitude

106°08’00”
39°17’28” 66° 50’ 32”
OBJECTIVE :
DEFINE NAVIGATION
EARTH
REVIEW
Calculate Latitude & Longitude difference between 2 point in the earth

X 45º28’01”N 9º10’59”E

Y 22º54’29”S 43º11’47”W
OBJECTIVE :
DEFINE NAVIGATION
DIRECTION
COURSE
Course is the intended horizontal direction of travel.
HEADING
Heading is the horizontal direction in which an aircraft is pointed.
TRACK
Actual horizontal direction made by the aircraft over the earth.
BEARING
Horizontal direction of one terrestrial point from another.
OBJECTIVE :
DEFINE NAVIGATION
DIRECTION
True Direction / Heading
The true heading (TH) is the direction in which the nose of the
aircraft points during a flight when measured in degrees
clockwise from true north
OBJECTIVE :
DEFINE NAVIGATION
DIRECTION
Magnetic Direction / Heading
Since the earth magnetic pole (north
magnetic pole is located close to 71°
N latitude, 96° W longitude and is
about 1,300 miles) displaced from
the geographic or true north
pole, there will be slight difference in
heading when we travel near the
pole.
OBJECTIVE :
DEFINE NAVIGATION
DIRECTION
Variation
Variation is the angle between
true north and magnetic north.

Algonic Line
Isogonic line
Rule : West Best, East Least
OBJECTIVE :
DEFINE NAVIGATION
DIRECTION
Variation
Effect of variation to the compass
OBJECTIVE :
DEFINE NAVIGATION
DIRECTION
Deviation
Due to magnetic influences
within an aircraft such as
electrical
circuits, radio, lights, tools, en
gine, and magnetized metal
parts, the compass needle is
frequently deflected from its
normal reading.
OBJECTIVE :
DEFINE NAVIGATION
DIRECTION
Compass Heading
Is a heading which was indicated in compass.
To determine compass heading, a correction for deviation must
be made, since deviation caused some disturbance on the
magnet we have in the compass.
OBJECTIVE :
DEFINE NAVIGATION
DIRECTION
REVIEW
True
Heading

Variation

Magnetic
Heading

Deviation

Compass
Heading

235º

4ºW

239º

1ºW

240º

076º

13ºE

063º

2ºE

061º

354º

9ºW

003º

4ºE

359º

120º

25ºE

095º

3ºW

098º
OBJECTIVE :
DEFINE NAVIGATION
DISTANCE
Great Circle Earth is a sphere,
Imagine it was cut through it
core.
It will divide the sphere in
perfect half.
The great-circle is the shortest
distance between two points
on the surface of the earth,
measured along the surface
of the sphere.
OBJECTIVE :
DEFINE NAVIGATION
DISTANCE
Great Circle Distance
The earth have spherical shape. A
sphere have circumference 360º of arc.
1º of arc = 60’ of arc
1’ of arc = 60” of arc
A standard unit of distance in navigation
is the Nautical Mile, which is the length
of 1 minute of arc of any Great Circle /
LATITUDE on Earth.
1 nm = 1,852 m = 6,076 feet
OBJECTIVE :
DEFINE NAVIGATION
DISTANCE
Calculating Great Circle Distance
City A located at 6°20’00” S
106°08’00”E
City B located at 2°09’29” S
106°08’05”E
Calculate the distance between city A & B !
Since the Longitude distance very small, it can be DISREGARDED.
6°20’00”
Remember : 1’ of arc = 1 nm
2°09’29” 4°
= 4 x 60 = 240 nm
4°10’31”
10’
= 10 x 1 = 10 nm
31”

= 31/60

=

0,5 nm
250,5 nm
OBJECTIVE :
DEFINE NAVIGATION
DISTANCE
Great Circle Distance
OBJECTIVE :
DEFINE NAVIGATION
DISTANCE
Rhumb Line
Rhumb line is a line
crossing all meridians of
longitude at the same
angle.
In a map, rhumb line
distance will look like
this :
OBJECTIVE :
DEFINE NAVIGATION
DISTANCE
Rhumb Line
In reality the rhumb line will make a
spiral path on its track.
WHY?
Because earth is a sphere, there will
be a gradient of latitude and
longitude as we moved near the
pole.
The gradient will make the angle
that intercept the meridian steeper,
so it seems like spiraling around the
earth.
OBJECTIVE :
DEFINE NAVIGATION
DISTANCE
Calculating Rhumb line distance
Here we can count the rhumb line distance :
Δ longitude x cos (mean Latitude)
City A located at 16°20’00” S
46°08’00”E
City B located at 44°09’29” S 106°08’00”E
Δ longitude = 60 x 60 = 3,600 nm
Mean Latitude
= (16 + 44) /2
= 30
3,600 x cos (30)
= 3,600 x 0.86
= 3,117 nm
OBJECTIVE :
DEFINE NAVIGATION
DISTANCE
Difference between Great
Circle and Rhumb Line
OBJECTIVE :
DEFINE NAVIGATION
TIME
In celestial navigation, navigators determine the aircraft’s
position by observing the celestial bodies. The apparent position
of these bodies changes with time.
Time is measured by the rotation of the earth and the resulting
apparent motions of the celestial bodies.
OBJECTIVE :
DEFINE NAVIGATION
TIME
As Earth rotate, sun appears to move from east to west.
The sun travels at a constant rate, covering 360° of arc in 24
hours. The mean sun transits the same meridian twice in 24
hours. The following relationships exists between time and arc:
Time Arc
360° of arc
=
24 hours
15° of arc
=
1 hour
OBJECTIVE :
DEFINE NAVIGATION
TIME
Time Zone
The world is divided into 24
zones, each zone being 15° of
longitude wide.
Since the time is earlier in the
zones west of Greenwich, the
numbers of these zones are plus.
In the zones east of Greenwich, the
numbers are minus because the
time is later.
OBJECTIVE :
DEFINE NAVIGATION
TIME
GMT
Greenwich Mean Time (GMT) is used for
most celestial computations.
Also labeled as UTC or Z time.
OBJECTIVE :
DEFINE NAVIGATION
TIME
Local Time
local mean time (LMT) is mean solar
time measured with reference to
the observer’s meridian.
measured from the lower branch of
the observers meridian, westward
through 360°
OBJECTIVE :
DEFINE NAVIGATION
TIME
Time Conversion
Since we can conclude our local time from longitude, we can also count
the conversion of time with this rule :
360° of arc
=
24 hours
15° of arc
=
1 hour
1° of arc
=
4 minutes
15‘ of arc
=
1 minute
1‘ of arc
=
4 seconds
15” of arc
=
1 seconds
OBJECTIVE :
DEFINE NAVIGATION
TIME
Time Conversion
Example : Pangkal Pinang is located at 2°07’59” N 106°07’01”
Calculate the local time according to GMT !
HAHA! PAY ATTENTION!
USE LATITUDE !
USE LONGITUDE

106°=> hours = 106°: 15° = 7 1/15 hours = 7 hours 4 mins
07’=> minutes = 7’ x 4 (sec) =
28 sec
01”=> second = less than 15” can be disregarded
7 hours

4 mins 28 sec
OBJECTIVE :
DEFINE NAVIGATION
TIME
Review
Time conversion :
Calculate the local time of Quito, Ecuador 0º15’00” S / 78º35’33”W
78°
35’
33”

=> hours = 78°: 15° = 5 3/15 hours = 5 hours 12 mins
=> minutes = 35’ x 4 (sec) = 140 sec =
2 mins 20 sec
=> second = 33”/15 x1 (sec) =
2 sec
5 hours 14 mins 22 sec
OBJECTIVE :
DEFINE NAVIGATION
ALTITUDE
ISA
A certain condition where the pressure is calculated at MEAN
SEA LEVEL indicated 1,013.25 hPa (or 29.92 In.Hg) with average
temperature calculated 15ºC or 59ºF.
How could we manage to measure the exact pressure at MSL?
We use Barometer.
Mercury Barometer
Aneroid Barometer
OBJECTIVE :
DEFINE NAVIGATION
ALTITUDE
ALTIMETRY – Aneroid Barometer
mechanism
The altimeter measures the height of the
airplane above a given pressure level.
Since altimeter is a modification from
aneroid barometer, the main component is
also the same. It contain sealed aneroid
wafers which expand and contract with
changes in atmospheric pressure from the
static source.
OBJECTIVE :
DEFINE NAVIGATION
ALTITUDE
Types of Altitude
Indicated Altitude
the value of altitude that is displayed on the pressure altimeter.
True Altitude
The vertical distance of the airplane above sea level. The actual altitude.
expressed as feet above mean sea level (MSL).
Absolute Altitude
The vertical distance of an airplane above the terrain, or above ground level
(AGL).
Pressure Altitude (PA)
The height above the standard datum plane (29.92 "Hg and 15 °C) is PA.
OBJECTIVE :
DEFINE NAVIGATION
ALTITUDE
Height (QFE), Altitude (QNH) and FL (QNE)
QFE (Q code - Field Elevation ) : Air pressure above an airfield . If an
altimeter was set to QFE, it will indicate HEIGHT above runway level
/ elevation (AGL)
QNH (Q code – nautical height ): Air pressure above local mean sea
level .If an altimeter was set to QNH , it will indicate ALTITUDE above
local Mean Sea Level ( AMSL)
QNE (Q code – Nautical Elevation ): Air pressure above mean sea level
in ISA condition. If an altimeter was set to QNE , it will indicate
ALTITUDE above MSL ISA ( PRESSURE ALTITUDE)
OBJECTIVE :
DEFINE NAVIGATION
ALTITUDE
Rule: High to Low, LOOK OUT BELOW
OBJECTIVE :
DEFINE NAVIGATION
ALTITUDE
Conversion of 29.92 In.Hg to 1013,2 hPa.
1 inch Hg
= 1,000 feet
1 hPa
= 30 feet
1 inch Hg
= 34 hPa
From hPa to In.Hg.
1020 hPa
=…. In.Hg
Rule of Thumb, always count nearest to 1000, SO :
Take the 20

Get

60

Times

x3

Add

.53

Get
Add

1.13
29.

Get

60

Get

1.13

Result 30.13 Inch Hg
OBJECTIVE :
DEFINE NAVIGATION
ALTITUDE
Review
From In.Hg. to hPa
29.41Inch Hg =…. hPa
Take the 41
Subtract 53

Get

12

Get

Divide

:3

Minus

Get

Get

4

Result 996 hPa

12

4
1000
OBJECTIVE :
DEFINE NAVIGATION
SPEED
ISA (International Standard Atmosphere )
A certain condition where the pressure is calculated at MEAN SEA
LEVEL indicated 1,013.25 hPa (or 29.92 In.Hg) with average
temperature calculated 15ºC or 59ºF.
Airspeed is the speed of the aircraft in relation to the air mass
surrounding that aircraft.
It is necessary to know whether we have sufficient dynamic
pressure to create lift, but not enough to cause damage, and
velocity is necessary for navigation.
OBJECTIVE :
DEFINE NAVIGATION
SPEED
Pitot-Static System
Accurate airspeed measurement is obtained by means of a pitotstatic system. The system consists of:
1. A tube mounted parallel to the longitudinal axis of the
aircraft in an area that is free of turbulent air generated by
the aircraft
2. A static source that provides still, or undisturbed, air
pressure.
OBJECTIVE :
DEFINE NAVIGATION
SPEED
Pitot-Static System
The heart of the airspeed indicator is a
diaphragm that is sensitive to pressure
changes.
it located inside the indicator case and
connected to the ram air source in the pitot
tube.
The indicator case is sealed airtight and
connected to the static pressure source.
The differential pressure created by the
relative effects of the impact and static
pressures on the diaphragm causes it to
expand or contract.
As the speed of the aircraft increases, the
impact pressure increases, causing the
diaphragm to expand. Through mechanical
linkage, the expansion is displayed as an
increase in airspeed.
OBJECTIVE :
DEFINE NAVIGATION
SPEED
Indicated airspeed (IAS)
IAS is the uncorrected reading taken from the face of the
indicator.
It is the airspeed that the instrument shows on the dial.
OBJECTIVE :
DEFINE NAVIGATION
SPEED
Basic airspeed (BAS)
Basic airspeed (BAS) is the IAS corrected for instrument error.
Each airspeed indicator has its own characteristics that cause it
to differ from any other airspeed indicator.
These differences may be caused by slightly different hairspring
tensions, flexibility of the diaphragm, accuracy of the scale
markings, or even the effect of temperature.
It is considered negligible or is accounted for in technical order
tables and graphs.
OBJECTIVE :
DEFINE NAVIGATION
SPEED
Calibrated Airspeed (CAS)
Calibrated airspeed (CAS) is basic airspeed corrected for pitotstatic error or attitude of the aircraft. This can be called position
error.
As the flight attitude of the aircraft changes, the pressure at the
static inlets changes. This is caused by the airstream striking the
inlet at an angle.
Different types and locations of installations cause different
errors.
Can also called Rectified Airspeed (RAS)
OBJECTIVE :
DEFINE NAVIGATION
SPEED
Equivalent Airspeed (EAS)
Equivalent airspeed is CAS corrected for compressibility error.
Compressibility becomes noticeable when the airspeed is great
enough to create an impact pressure that causes the air
molecules to be compressed within the impact chamber of the
pitot tube.
Since the speed of piston engine aircraft is slightly far from
reaching Mach speed, the EAS can be regarded the same with
IAS.
OBJECTIVE :
DEFINE NAVIGATION
SPEED
True Airspeed (TAS)
TAS is equivalent airspeed that has been corrected for pressure
altitude (PA) and true air temperature (TAT) this called density
error.
How to calculate TAS?
RULE OF THUMB :
TAS = IAS ( 1+Altitude/1000 ft x 2%)
TAS = EAS √ρ̥ /ρ

Effect of TAS with altitude?
OBJECTIVE :
DEFINE NAVIGATION
SPEED
Ground Speed (GS)
The actual speed of the airplane over the ground. It is true
airspeed adjusted for wind. Groundspeed decreases with a
headwind, and increases with a tailwind.
OBJECTIVE :
DEFINE NAVIGATION
SPEED
Effect of Altitude with speed (TAS)
Calculate TAS !
IAS = 150 knots
Altitude = 10,000 feet
TAS = IAS ( 1 + altitude/1,000 x 2%)
TAS = 150 ( 1+ 10,000/1,000 x 2/100)
TAS = 150 ( 1 + 0.2)

= 150 x 1.2

= 180

knots

= 177

knots

Using formula : TAS = EAS √ρ̥ /ρ
TAS = 150 x √1.225/0.875
TAS = 150 x 1.18
OBJECTIVE :
DEFINE NAVIGATION
SPEED
Review : Rule of thumb calculating TAS
Calculate TAS !
IAS = 250 knots
Altitude = 30,000 feet
TAS = IAS ( 1 + altitude/1,000 x 2%)
TAS = 250 ( 1 + 0.6)

= 250 x 1.6

TAS = 250 ( 1+ 30,000/1,000 x 2/100)

= 400

knots
CONCLUSION
OBJECTIVE :
DEFINE NAVIGATION
KEY POINTS :
Navigator
Direction
Distance
Time
Altitude
Speed
END
ANY QUESTION?

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Navigation

  • 2. INTEREST From NAM Flying School-Airport, there will be a specific object / landmark that we can use to reach the Main Apron. The same is when we are in a journey with a/c. For example, we were going to training area, there will be an iconic landmark to guide us. The process of going from one place to other place is called NAVIGATION. For visual navigation, one of the most important objects for navigation is a landmark, called CHECKPOINT.
  • 3. NEED Navigation ability is needed in every flight, since we go to other place and we need to know how to get there and come back again. Remember, if you can’t navigate properly, it could lead to something called lost position.
  • 5. REVISION Before flight, we always use navigation for everyday activities, example: go to school, work, and market. In flight, we must apply what we know from our everyday activities. If we want to go to places, we need : DIRECTION CHECKPOINT DISTANCE TIME FUEL ALTITUDE Navigation is process monitor and controlling A/C from a place to another place.
  • 8. REFERENCES The Air Pilot’s Manual vol. 3 : Air Navigation PHAK chap. 15 : Navigation
  • 10. OBJECTIVE : DEFINE NAVIGATION NAVIGATOR Navigation is process monitor and controlling A/C from a place to another place. We must realize, as a pilot are navigator, since our duty to monitor and control the A/C. As a pilot, to be able to control it correctly, we need to AVIATE. Then, we need to be able to tell where we are going. So the pilot’s role is to NAVIGATE. Last but not least, we must know that a pilot didn’t work alone. Along way, there must be a contact with another aerodrome, i.e. Approach, Tower, and Radar. So, we also need to COMMUNICATE.
  • 12. OBJECTIVE : DEFINE NAVIGATION EARTH Earth’s Shape Oblate spheroid flattened at the pole bulge around the equator
  • 13. OBJECTIVE : DEFINE NAVIGATION EARTH Cardinal Heading N E S W : 360 / 000 : 090 : 180 : 270
  • 14. OBJECTIVE : DEFINE NAVIGATION EARTH The nature of a sphere is such that any point on it is exactly like any other point. There is neither beginning nor ending as far as differentiation of points is concerned. We use a system of coordinates to locate positions on the earth by means of imaginary reference lines. These lines are known as : parallels of latitude meridians of longitude.
  • 15. OBJECTIVE : DEFINE NAVIGATION EARTH Parallel of Latitude The earth rotates on its north-south axis, which is terminated by the two poles. The equatorial plane is constructed at the midpoint of this axis. The particular parallel of latitude chosen as 30° N, and every point on this parallel is at 30° N.
  • 16. OBJECTIVE : DEFINE NAVIGATION EARTH Meridian of Longitude Which is the measurement of this east-west distance. Longitude, unlike latitude, has no natural starting point for numbering. Longitude is counted east and west from this meridian through 180°.
  • 17. OBJECTIVE : DEFINE NAVIGATION EARTH Latitude and Longitude A circle contain 360° of arc 1° of arc =60’ of arc 1’ of arc =60” of arc Example : 41°10’20” N 10°56’10” S 02°09’29” S 21°54’03” W 122°53’03” E 106°08’05” E
  • 19. OBJECTIVE : DEFINE NAVIGATION EARTH Equator : 0º of Latitude Pole 90º of Latitude North 90º of Latitude South
  • 20. OBJECTIVE : DEFINE NAVIGATION EARTH Prime Meridian International Date Line
  • 21. OBJECTIVE : DEFINE NAVIGATION EARTH Earth’s Magnetic Field Generated because of the molten rock in earth’s core keep moving and creating convection flow. The flow resulted in high amount of electricity inside the earth. That caused a magnetic field around the earth.
  • 27. OBJECTIVE : DEFINE NAVIGATION EARTH REVIEW Calculate Latitude & Longitude difference between 2 point in the earth X 45º28’01”N 9º10’59”E Y 22º54’29”S 43º11’47”W
  • 28. OBJECTIVE : DEFINE NAVIGATION DIRECTION COURSE Course is the intended horizontal direction of travel. HEADING Heading is the horizontal direction in which an aircraft is pointed. TRACK Actual horizontal direction made by the aircraft over the earth. BEARING Horizontal direction of one terrestrial point from another.
  • 29. OBJECTIVE : DEFINE NAVIGATION DIRECTION True Direction / Heading The true heading (TH) is the direction in which the nose of the aircraft points during a flight when measured in degrees clockwise from true north
  • 30. OBJECTIVE : DEFINE NAVIGATION DIRECTION Magnetic Direction / Heading Since the earth magnetic pole (north magnetic pole is located close to 71° N latitude, 96° W longitude and is about 1,300 miles) displaced from the geographic or true north pole, there will be slight difference in heading when we travel near the pole.
  • 31. OBJECTIVE : DEFINE NAVIGATION DIRECTION Variation Variation is the angle between true north and magnetic north. Algonic Line Isogonic line Rule : West Best, East Least
  • 33. OBJECTIVE : DEFINE NAVIGATION DIRECTION Deviation Due to magnetic influences within an aircraft such as electrical circuits, radio, lights, tools, en gine, and magnetized metal parts, the compass needle is frequently deflected from its normal reading.
  • 34. OBJECTIVE : DEFINE NAVIGATION DIRECTION Compass Heading Is a heading which was indicated in compass. To determine compass heading, a correction for deviation must be made, since deviation caused some disturbance on the magnet we have in the compass.
  • 36. OBJECTIVE : DEFINE NAVIGATION DISTANCE Great Circle Earth is a sphere, Imagine it was cut through it core. It will divide the sphere in perfect half. The great-circle is the shortest distance between two points on the surface of the earth, measured along the surface of the sphere.
  • 37. OBJECTIVE : DEFINE NAVIGATION DISTANCE Great Circle Distance The earth have spherical shape. A sphere have circumference 360º of arc. 1º of arc = 60’ of arc 1’ of arc = 60” of arc A standard unit of distance in navigation is the Nautical Mile, which is the length of 1 minute of arc of any Great Circle / LATITUDE on Earth. 1 nm = 1,852 m = 6,076 feet
  • 38. OBJECTIVE : DEFINE NAVIGATION DISTANCE Calculating Great Circle Distance City A located at 6°20’00” S 106°08’00”E City B located at 2°09’29” S 106°08’05”E Calculate the distance between city A & B ! Since the Longitude distance very small, it can be DISREGARDED. 6°20’00” Remember : 1’ of arc = 1 nm 2°09’29” 4° = 4 x 60 = 240 nm 4°10’31” 10’ = 10 x 1 = 10 nm 31” = 31/60 = 0,5 nm 250,5 nm
  • 40. OBJECTIVE : DEFINE NAVIGATION DISTANCE Rhumb Line Rhumb line is a line crossing all meridians of longitude at the same angle. In a map, rhumb line distance will look like this :
  • 41. OBJECTIVE : DEFINE NAVIGATION DISTANCE Rhumb Line In reality the rhumb line will make a spiral path on its track. WHY? Because earth is a sphere, there will be a gradient of latitude and longitude as we moved near the pole. The gradient will make the angle that intercept the meridian steeper, so it seems like spiraling around the earth.
  • 42. OBJECTIVE : DEFINE NAVIGATION DISTANCE Calculating Rhumb line distance Here we can count the rhumb line distance : Δ longitude x cos (mean Latitude) City A located at 16°20’00” S 46°08’00”E City B located at 44°09’29” S 106°08’00”E Δ longitude = 60 x 60 = 3,600 nm Mean Latitude = (16 + 44) /2 = 30 3,600 x cos (30) = 3,600 x 0.86 = 3,117 nm
  • 43. OBJECTIVE : DEFINE NAVIGATION DISTANCE Difference between Great Circle and Rhumb Line
  • 44. OBJECTIVE : DEFINE NAVIGATION TIME In celestial navigation, navigators determine the aircraft’s position by observing the celestial bodies. The apparent position of these bodies changes with time. Time is measured by the rotation of the earth and the resulting apparent motions of the celestial bodies.
  • 45. OBJECTIVE : DEFINE NAVIGATION TIME As Earth rotate, sun appears to move from east to west. The sun travels at a constant rate, covering 360° of arc in 24 hours. The mean sun transits the same meridian twice in 24 hours. The following relationships exists between time and arc: Time Arc 360° of arc = 24 hours 15° of arc = 1 hour
  • 46. OBJECTIVE : DEFINE NAVIGATION TIME Time Zone The world is divided into 24 zones, each zone being 15° of longitude wide. Since the time is earlier in the zones west of Greenwich, the numbers of these zones are plus. In the zones east of Greenwich, the numbers are minus because the time is later.
  • 47. OBJECTIVE : DEFINE NAVIGATION TIME GMT Greenwich Mean Time (GMT) is used for most celestial computations. Also labeled as UTC or Z time.
  • 48. OBJECTIVE : DEFINE NAVIGATION TIME Local Time local mean time (LMT) is mean solar time measured with reference to the observer’s meridian. measured from the lower branch of the observers meridian, westward through 360°
  • 49. OBJECTIVE : DEFINE NAVIGATION TIME Time Conversion Since we can conclude our local time from longitude, we can also count the conversion of time with this rule : 360° of arc = 24 hours 15° of arc = 1 hour 1° of arc = 4 minutes 15‘ of arc = 1 minute 1‘ of arc = 4 seconds 15” of arc = 1 seconds
  • 50. OBJECTIVE : DEFINE NAVIGATION TIME Time Conversion Example : Pangkal Pinang is located at 2°07’59” N 106°07’01” Calculate the local time according to GMT ! HAHA! PAY ATTENTION! USE LATITUDE ! USE LONGITUDE 106°=> hours = 106°: 15° = 7 1/15 hours = 7 hours 4 mins 07’=> minutes = 7’ x 4 (sec) = 28 sec 01”=> second = less than 15” can be disregarded 7 hours 4 mins 28 sec
  • 51. OBJECTIVE : DEFINE NAVIGATION TIME Review Time conversion : Calculate the local time of Quito, Ecuador 0º15’00” S / 78º35’33”W 78° 35’ 33” => hours = 78°: 15° = 5 3/15 hours = 5 hours 12 mins => minutes = 35’ x 4 (sec) = 140 sec = 2 mins 20 sec => second = 33”/15 x1 (sec) = 2 sec 5 hours 14 mins 22 sec
  • 52. OBJECTIVE : DEFINE NAVIGATION ALTITUDE ISA A certain condition where the pressure is calculated at MEAN SEA LEVEL indicated 1,013.25 hPa (or 29.92 In.Hg) with average temperature calculated 15ºC or 59ºF. How could we manage to measure the exact pressure at MSL? We use Barometer. Mercury Barometer Aneroid Barometer
  • 53. OBJECTIVE : DEFINE NAVIGATION ALTITUDE ALTIMETRY – Aneroid Barometer mechanism The altimeter measures the height of the airplane above a given pressure level. Since altimeter is a modification from aneroid barometer, the main component is also the same. It contain sealed aneroid wafers which expand and contract with changes in atmospheric pressure from the static source.
  • 54. OBJECTIVE : DEFINE NAVIGATION ALTITUDE Types of Altitude Indicated Altitude the value of altitude that is displayed on the pressure altimeter. True Altitude The vertical distance of the airplane above sea level. The actual altitude. expressed as feet above mean sea level (MSL). Absolute Altitude The vertical distance of an airplane above the terrain, or above ground level (AGL). Pressure Altitude (PA) The height above the standard datum plane (29.92 "Hg and 15 °C) is PA.
  • 55. OBJECTIVE : DEFINE NAVIGATION ALTITUDE Height (QFE), Altitude (QNH) and FL (QNE) QFE (Q code - Field Elevation ) : Air pressure above an airfield . If an altimeter was set to QFE, it will indicate HEIGHT above runway level / elevation (AGL) QNH (Q code – nautical height ): Air pressure above local mean sea level .If an altimeter was set to QNH , it will indicate ALTITUDE above local Mean Sea Level ( AMSL) QNE (Q code – Nautical Elevation ): Air pressure above mean sea level in ISA condition. If an altimeter was set to QNE , it will indicate ALTITUDE above MSL ISA ( PRESSURE ALTITUDE)
  • 56. OBJECTIVE : DEFINE NAVIGATION ALTITUDE Rule: High to Low, LOOK OUT BELOW
  • 57. OBJECTIVE : DEFINE NAVIGATION ALTITUDE Conversion of 29.92 In.Hg to 1013,2 hPa. 1 inch Hg = 1,000 feet 1 hPa = 30 feet 1 inch Hg = 34 hPa From hPa to In.Hg. 1020 hPa =…. In.Hg Rule of Thumb, always count nearest to 1000, SO : Take the 20 Get 60 Times x3 Add .53 Get Add 1.13 29. Get 60 Get 1.13 Result 30.13 Inch Hg
  • 58. OBJECTIVE : DEFINE NAVIGATION ALTITUDE Review From In.Hg. to hPa 29.41Inch Hg =…. hPa Take the 41 Subtract 53 Get 12 Get Divide :3 Minus Get Get 4 Result 996 hPa 12 4 1000
  • 59. OBJECTIVE : DEFINE NAVIGATION SPEED ISA (International Standard Atmosphere ) A certain condition where the pressure is calculated at MEAN SEA LEVEL indicated 1,013.25 hPa (or 29.92 In.Hg) with average temperature calculated 15ºC or 59ºF. Airspeed is the speed of the aircraft in relation to the air mass surrounding that aircraft. It is necessary to know whether we have sufficient dynamic pressure to create lift, but not enough to cause damage, and velocity is necessary for navigation.
  • 60. OBJECTIVE : DEFINE NAVIGATION SPEED Pitot-Static System Accurate airspeed measurement is obtained by means of a pitotstatic system. The system consists of: 1. A tube mounted parallel to the longitudinal axis of the aircraft in an area that is free of turbulent air generated by the aircraft 2. A static source that provides still, or undisturbed, air pressure.
  • 61. OBJECTIVE : DEFINE NAVIGATION SPEED Pitot-Static System The heart of the airspeed indicator is a diaphragm that is sensitive to pressure changes. it located inside the indicator case and connected to the ram air source in the pitot tube. The indicator case is sealed airtight and connected to the static pressure source. The differential pressure created by the relative effects of the impact and static pressures on the diaphragm causes it to expand or contract. As the speed of the aircraft increases, the impact pressure increases, causing the diaphragm to expand. Through mechanical linkage, the expansion is displayed as an increase in airspeed.
  • 62. OBJECTIVE : DEFINE NAVIGATION SPEED Indicated airspeed (IAS) IAS is the uncorrected reading taken from the face of the indicator. It is the airspeed that the instrument shows on the dial.
  • 63. OBJECTIVE : DEFINE NAVIGATION SPEED Basic airspeed (BAS) Basic airspeed (BAS) is the IAS corrected for instrument error. Each airspeed indicator has its own characteristics that cause it to differ from any other airspeed indicator. These differences may be caused by slightly different hairspring tensions, flexibility of the diaphragm, accuracy of the scale markings, or even the effect of temperature. It is considered negligible or is accounted for in technical order tables and graphs.
  • 64. OBJECTIVE : DEFINE NAVIGATION SPEED Calibrated Airspeed (CAS) Calibrated airspeed (CAS) is basic airspeed corrected for pitotstatic error or attitude of the aircraft. This can be called position error. As the flight attitude of the aircraft changes, the pressure at the static inlets changes. This is caused by the airstream striking the inlet at an angle. Different types and locations of installations cause different errors. Can also called Rectified Airspeed (RAS)
  • 65. OBJECTIVE : DEFINE NAVIGATION SPEED Equivalent Airspeed (EAS) Equivalent airspeed is CAS corrected for compressibility error. Compressibility becomes noticeable when the airspeed is great enough to create an impact pressure that causes the air molecules to be compressed within the impact chamber of the pitot tube. Since the speed of piston engine aircraft is slightly far from reaching Mach speed, the EAS can be regarded the same with IAS.
  • 66. OBJECTIVE : DEFINE NAVIGATION SPEED True Airspeed (TAS) TAS is equivalent airspeed that has been corrected for pressure altitude (PA) and true air temperature (TAT) this called density error. How to calculate TAS? RULE OF THUMB : TAS = IAS ( 1+Altitude/1000 ft x 2%) TAS = EAS √ρ̥ /ρ Effect of TAS with altitude?
  • 67. OBJECTIVE : DEFINE NAVIGATION SPEED Ground Speed (GS) The actual speed of the airplane over the ground. It is true airspeed adjusted for wind. Groundspeed decreases with a headwind, and increases with a tailwind.
  • 68. OBJECTIVE : DEFINE NAVIGATION SPEED Effect of Altitude with speed (TAS) Calculate TAS ! IAS = 150 knots Altitude = 10,000 feet TAS = IAS ( 1 + altitude/1,000 x 2%) TAS = 150 ( 1+ 10,000/1,000 x 2/100) TAS = 150 ( 1 + 0.2) = 150 x 1.2 = 180 knots = 177 knots Using formula : TAS = EAS √ρ̥ /ρ TAS = 150 x √1.225/0.875 TAS = 150 x 1.18
  • 69. OBJECTIVE : DEFINE NAVIGATION SPEED Review : Rule of thumb calculating TAS Calculate TAS ! IAS = 250 knots Altitude = 30,000 feet TAS = IAS ( 1 + altitude/1,000 x 2%) TAS = 250 ( 1 + 0.6) = 250 x 1.6 TAS = 250 ( 1+ 30,000/1,000 x 2/100) = 400 knots
  • 70. CONCLUSION OBJECTIVE : DEFINE NAVIGATION KEY POINTS : Navigator Direction Distance Time Altitude Speed