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ASSIGNMENT 1: NAVIGATION ROUTES AND REFERENCE SYSTEMS

1. 

RouteI’ve chosen LEMD (Adolfo Suárez Madrid-Barajas Airport) as origin and WMKK (Kuala

Lumpur International Airport) as destiny.

1.1 G

r 

e

a

t

 

C

i

r 

c

 Figure 1. Routes from Madrid to Kuala Lumpur (cylindrical projections)

1.1  RouteI’ve drawn the great circle route in

Google Earth in green ( Figure 1, file

GreatCircle.m) and I’ve calculated

the initial rhumb and final rhumb

graphically in Google Earth ( Figure

2) and using formulas from library

(file GreatCircle.m). The results are:

Graphically MATLAB

Distance 11098.1 Km 11090 Km

InitialBearing

77.86º 77.8647º

FinalBearing

------ 311.8773º

 Figure 2. Distance between LEMD and

WMKK with Google Earth Ruler

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1.2  Rhumb Lines

I’ve drawn the rhumb line in Google Earth in  blue  ( Figure 1, file  RhumbLine.m).

Previously, I’ve created the loxo.m function. The list of waypoints is:

Latitude Longitude

LEMD 40.4722º 40º 28’ 19.92’’ N  -3.5608º 03º 33’ 38.88’’ W 

Waypoint 1 36.6996º 36º 41’ 58.56’’ N  8.6624º 08º 39’ 44.64’’ E 

Waypoint 2 32.9269º 32º 55’ 36.84’’ N  20.2993º 20º 17’ 57.48’’ E 

Waypoint 3 29.1542º 29º 09’ 15.12’’ N  31.4497º 31º 26’ 58.92’’ E 

Waypoint 4 25.3816º 25º 22’ 53.76’’ N  42.1973º 42º 11’ 50.28’’ E 

Waypoint 5 21.6089º 21º 36’ 32.04’’ N  52.6140º 52º 36’ 50.40’’ E 

Waypoint 6 17.8362º 17º 50’ 10.32’’ N  62.7622º 62º 45’ 43.92’’ E

Waypoint 7  14.0636º 14º 03’ 48.96’’ N  72.6974º 72º 41’ 50.64’’ E 

Waypoint 8 10.2909º 10º 17’ 27.24’’ N  82.4698º 82º 28’ 11.28’’ E 

Waypoint 9 6.5182º 06º 31’ 05.52’’ N  92.1260º 92º 07’ 33.60’’ E 

WMKK 2.7456º 02º 44’ 44.16’’ N  101.7097º 101º 42’ 34.90’’ E 

1.3 

Approximating great circles with rhumb lines

I’ve created the ortoloxo.m  file to approximate great circles with a series of 10 rhumb

lines and I’ve drawn it in Google Earth in  pink   ( Figure 1). I’ve also drawn a circle

 pointing an area with 25 NM of radius. As we can see ( Figure 3), the route is within the

circle, so the error of the route is less than 25 NM.

 Figure 2. Circle of radius 25 NM.

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1.4  AirwaysThe RNAV and not-RNAV routes are drawn in yellow and red, respectively ( Figure 1).

For that, I’ve created a Matlab program air_routes.m.  and previously, I’ve keep

RouteFinder waypoints in route_Rnav.txt  and route_noRNAV.txt  .

Here, there are all routes in Google Earth:

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2. Pointing an antenna to a satellite

2.1 Satellite selectionI’ve chosen Thor 7 satellite with geostationary orbit. The information provided by the

website is:

2.2 

ExercisesI’ve created an archive (Satelite.m file) that calculates the elevation and azimuth angles and

the distance to the satellite. I’ve used the professor ’s functions to do it . The results are: Elevation: 44.3669º

Azimuth: 179.5553º

Distance: 37438 Km

As we can see, they are very similar to website information.

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2.3  Satellite view in Google EarthI’ve  developed an archive (SateliteGoogleEarth.m) which draws the line of sight to the

satellite in Google Earth:

MªDolores López Blesa, Grupo 835