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Great circles route?

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Old 23rd Feb 2006, 20:42
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Great circles route?

Can anyone explain in plain english the concept of the great circle routes?
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Old 23rd Feb 2006, 21:02
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fish

Shortest distance between two points on a flat 2D surface = straight line

Shortest distance between two points on a spheric 2D surface = curve

If in doubt about the latter, get an apple & a rubber band. If you wrap the rubber band around the apple, you will see it describing an a curve on the surface.

Thus: rhumb line = constant true track - great circle = changing true track.

These are the very basics - but hope it helps

Cheers,
Empty
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Old 23rd Feb 2006, 21:28
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more on this in tech log under isoganals and great circles
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Old 23rd Feb 2006, 21:46
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I had some better graphics to help get my kids' heads around this, but can't seem to find them (the graphics, not the kids' heads). This'll have to do... ( I didn't have an apple or a rubber band, so I had to opt for this approach.)

Imagine Cathay Pacific is enroute from Los Angeles to Hong Kong. On a Mercator projection (flat map) the route might look curved, like this:



However, if you were to look at that same route plotted on a globe, it might look more like a straight line, like this:



Same route, different view.

I, for one, think it is magic.

Dave
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Old 24th Feb 2006, 05:55
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great graphics and explanation Av8boy

This is an excellent thingy to play with...

Great Circle Mapper
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Old 24th Feb 2006, 06:34
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av8boy

Nice one
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Old 24th Feb 2006, 07:17
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And when you've got it, you'll be able to answer:

When does a Rhumb line = a Great Circle?
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Old 24th Feb 2006, 08:07
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thank you for the replies
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Old 24th Feb 2006, 09:53
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And when you've got it, you'll be able to answer:
When does a Rhumb line = a Great Circle?
The Equator?
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Old 24th Feb 2006, 11:07
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Or along any meridian of longitude, i.e. tracking 000T or 180T!
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Old 24th Feb 2006, 11:20
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Originally Posted by av8boy
I had some better graphics to help get my kids' heads around this, but can't seem to find them (the graphics, not the kids' heads). This'll have to do... ( I didn't have an apple or a rubber band, so I had to opt for this approach.)

Imagine Cathay Pacific is enroute from Los Angeles to Hong Kong. On a Mercator projection (flat map) the route might look curved, like this:



However, if you were to look at that same route plotted on a globe, it might look more like a straight line, like this:



Same route, different view.

I, for one, think it is magic.

Dave

Hes a witch!!!!!!
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Old 26th Feb 2006, 15:21
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If there was a VOR at the magnetic pole which radial would you be on if you were at the true North Pole?
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Old 26th Feb 2006, 16:18
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The 361 radial
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Old 26th Feb 2006, 16:32
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Hes a witch!!!!!!
Burn him!

I'd say you are on radial 360, since your VOR at MNPole would have to use TN as a reference to avoid a singularity...

cheers
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Old 26th Feb 2006, 17:24
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But in practice, to avoid the need to constantly change heading, the actual route flown is more likely to be a composite great circle route, which is a tad longer but makes navigation easier by flying series of small GC's between lines of longitude which closely follow the true GC arc, usually at around 10degree increments. The heading between the waypoints being averaged out to a single course.
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Old 26th Feb 2006, 18:13
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Radial 180!!!

DOH!
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