# Maths problem for those more intelligent than I

Thread Starter

Join Date: May 2002

Location: London

Posts: 30

**Maths problem for those more intelligent than I**

Can someone help with this please?

I have a runway in China for which I need to calculate the threshold coordinates as the AIP does not give them.

RWY 15(154) 33(334)

ARP Centre of rwy N3159120 E11658300

Rwy length 3400m (11154ft)

Many thanks

Panda

I have a runway in China for which I need to calculate the threshold coordinates as the AIP does not give them.

RWY 15(154) 33(334)

ARP Centre of rwy N3159120 E11658300

Rwy length 3400m (11154ft)

Many thanks

Panda

Thread Starter

Join Date: May 2002

Location: London

Posts: 30

Thanks Vercingetorix

I see there have been many views but no comments so perhaps I am not as stupid as I thought!!

I just assumed there would be some formula involving Sines/Cosines or perhaps Quantum Physics.Anyway I have sent a pm to one of the RAF Navs in the hope that he can help.

Cheers

PANDA

I see there have been many views but no comments so perhaps I am not as stupid as I thought!!

I just assumed there would be some formula involving Sines/Cosines or perhaps Quantum Physics.Anyway I have sent a pm to one of the RAF Navs in the hope that he can help.

Cheers

PANDA

Join Date: Jul 2012

Location: Cluj-Napoca, RO

Age: 38

Posts: 23

If it's just a matter of spherical trig then:

Lat1 = asin[sin(Lat0)*cos(D) + cos(Lat0)*sin(D)*cos(A0)]

Lon1 = Lon0 + atan2(sin(D)*sin(A0),cos(D)*cos(Lat0) - cos(A0)*sin(D)*sin(Lat0))

Or about .. Rwy33 N3158304 E11658584 and Rwy15 N3200095 E11658015

*Not for navigation disclaimer*

Lat1 = asin[sin(Lat0)*cos(D) + cos(Lat0)*sin(D)*cos(A0)]

Lon1 = Lon0 + atan2(sin(D)*sin(A0),cos(D)*cos(Lat0) - cos(A0)*sin(D)*sin(Lat0))

Or about .. Rwy33 N3158304 E11658584 and Rwy15 N3200095 E11658015

*Not for navigation disclaimer*

Join Date: Apr 2010

Posts: 92

People who struggle with maths problems might fare better after a course of gentle electric shocks to the brain, scientists have claimed.

Join Date: Apr 2008

Location: Garden of England

Age: 80

Posts: 165

That's all very well (the "mild" shocks probably fully woke up the dozy ones amongst them), but which group got the most maths questions correct? Speed increases of 27% are neither here nor there, what matters most in mathematics is ACCURACY!

There are quite a few structures in various parts of the world that I used mathematics to design, without once having my brain electrically shocked to finish 27% quicker. To the best of my knowledge, they are all still standing, carrying traffic, being lived in, and performing as required with adequate factors of safety. Remember the fable of the tortoise and the hare ...

There are quite a few structures in various parts of the world that I used mathematics to design, without once having my brain electrically shocked to finish 27% quicker. To the best of my knowledge, they are all still standing, carrying traffic, being lived in, and performing as required with adequate factors of safety. Remember the fable of the tortoise and the hare ...

Join Date: Apr 2010

Posts: 92

There are quite a few structures in various parts of the world that I used mathematics to design, without once having my brain electrically shocked to finish 27% quicker.

*had*been shocked, you might have finished 54% faster!

And a story to grammar nazis - by my old professor from the 80s: A young boy is standing in front of the mirror and saying: "It's me, it's me, it's me!" - and Granny corrects him: "It's 'I', honey." And the boy looks in the mirror in doubt and says: "Well, it may be I, but it looks very much like me!"

Join Date: Feb 2010

Location: Slovakia

Age: 60

Posts: 161

This is like a “Who dun it”

That is UTM ZONE 50

Starting Meridian E114°

Central Meridian E117°

Ending Meridian E120°

Ellipsoid – WGS-84

Semi Major Axis [a] 6378137 Eccentricity [e] 0.0818191908426215

Scaling Factor 0.9996

Projection Transverse Mercator

It is presumed that the runway bearings are magnetic.

Latitude 31°59'12.0000"N

Longitude 116°58'30.0000"E

Magnetic Variation Model WMM 2010

Magnetic Variation Date 23 May 2013

Magnetic Variation 4.9284°W

Runway True bearings 149.1 / 329.1

Latitude 31°59'12.0"N

Longitude 116°58'30.0"E

Magnetic Variation 4.9°W

Forward True Bearing 149.1 °

Forward Magnetic Bearing 154 °

Distance between positions 1700 m

Calculation: Ellipsoidal

Latitude

Longitude

Reverse True Bearing 329.1°

Reverse Magnetic Bearing 334.0°

Latitude 31°59'12.0000"N

Longitude 116°58'30.0000"E

Magnetic Variation 4.9°W

Forward True Bearing 329.1 °

Forward Magnetic Bearing 334 °

Distance between positions 1700 m

Calculation Type Ellipsoid

Latitude

Longitude

Reverse True Bearing 149.1°

Reverse Magnetic Bearing 154.0°

On Google Earth it looks like the multi-runway airport is not built yet.

The ARP looks to be centred between the two parallel runways.

Panda, did you finally get something similar?

*“ARP Centre of runway N3159120 E11658300”*That is UTM ZONE 50

Starting Meridian E114°

Central Meridian E117°

Ending Meridian E120°

Ellipsoid – WGS-84

Semi Major Axis [a] 6378137 Eccentricity [e] 0.0818191908426215

Scaling Factor 0.9996

Projection Transverse Mercator

*“RWY 15(154) 33(334)”*It is presumed that the runway bearings are magnetic.

**Theoretical Magnetic Variation at ARP****ARP Position**Latitude 31°59'12.0000"N

Longitude 116°58'30.0000"E

**Parameters**Magnetic Variation Model WMM 2010

Magnetic Variation Date 23 May 2013

**Result**Magnetic Variation 4.9284°W

**Magnetic variation taken as 4.9°West**Runway True bearings 149.1 / 329.1

*“Rwy length 3400m (11154ft)“***Determine the Position of THRESHOLD runway 33****ARP**Latitude 31°59'12.0"N

Longitude 116°58'30.0"E

Magnetic Variation 4.9°W

Forward True Bearing 149.1 °

Forward Magnetic Bearing 154 °

Distance between positions 1700 m

Calculation: Ellipsoidal

**Result Threshold runway 33**Latitude

**31°58'24.6"N**Longitude

**116°59'03.2"E**Reverse True Bearing 329.1°

Reverse Magnetic Bearing 334.0°

**Determine the Position of THRESHOLD runway 15****ARP**Latitude 31°59'12.0000"N

Longitude 116°58'30.0000"E

Magnetic Variation 4.9°W

**Parameters**Forward True Bearing 329.1 °

Forward Magnetic Bearing 334 °

Distance between positions 1700 m

Calculation Type Ellipsoid

**Result Threshold runway 15**Latitude

**31°59'59.4"N**Longitude

**116°57'56.8"E**Reverse True Bearing 149.1°

Reverse Magnetic Bearing 154.0°

On Google Earth it looks like the multi-runway airport is not built yet.

The ARP looks to be centred between the two parallel runways.

Panda, did you finally get something similar?