Shortwave radio amateurs (ham radio operators) are used to this curvature. For example, if I‘m in Germany and want to point my directional antenna towards Australia, it would be a bit more eastwards than one would expect from looking at a flat map.
It's honestly amazing how easily one can do rudimentary star navigation, and how involved it can become when you try to get more information out of the view of the sky
I suppose you'd theoretically also approach the pole asymptotically, since you're always pointing some amount off N or S and so never actually towards the pole. Infinite spiralling is how my walks feel sometimes 😂
All lines of longitude are big circles and all lines of latitude, without the equator, are small circles. But not vice versa... The shortest line between two points on a globe is always part of a big circle and called an orthodrome.
It’s a bit like walking over a hill. You can straight-line up and over or you can walk around the side partly up the slope and cover the same distance. Mercator shows great circle as straight lines.
"He doesn't want to give any more information" in my experience means "He didn't actually understand what he was talking about and didn't want to admit it"
Lines of constant bearing are also known as _loxodromes_ , and in general are neither great nor small circles, except for the 4 cardinal directions. Famously, on a Mercator map, any loxodrome appears as a straight line, which is why the Mercator projection is so enormously useful for maritime navigation. A loxodrome course between two points is easy to follow, but the price is that this course does not (in general) give the shortest path. That would be the distance along a great circle, which, however, can be approximated by loxodromes, making course corrections every hundred miles or so.
Mercator charts and following a straight (loxodromic) course is great for the short (ish) distances covered by the chart. It is a curious property of such a course that it will not bring you exactly to a destination thousands of miles away. The course so described is actually a spiral with a progressive curve so ultimately you get ever closer to your destination but never quite reaching it. This is due to Mercator properties of stretching some latitudes more than😢 others to fit onto a neat flat paper chart. For long distance planning say across an ocean a gnomic chart is useful. Great circle courses then appear as straight lines. As was said above, Great Circles are lines of longitude and lines of latitude other than the equator ARE NOT. The essential difference is that the plane of a Great Circle cuts through the centre of the planet. A small circle is any other slice. (the earth Scalped)
Great circle? Get a globe and a piece of string. Stretch the string between any two points of interest and its path across the globe is a great circle. As stated elsewhere, the equator is a great circle, and all lines of longitude (which go through both poles) are great circles. But ANY circle that goes around the earth and has its center at the center of the earth is a great circle. Traveling along a great circle is always the shortest distance between two points (on an idealized, perfect sphere, earth). Reality is always a bit more complicated, but not much in this case if the distances are great. Anyway, especially useful when sailing or flying.
I think you should have mentioned that your great circle was, and could only be, on the equator. At least it appeared to be. Or it otherwise could only have been on a meridian of longitude. I'm going out on a limb here, but I've for the most part, learned something from your videos that I've seen, but I think you missed the mark on this one by quite a bit. In my opinion.
If you look at the orange that I cut in the video, that's not cut around the middle (the equator) and it's still a great circle. A great circle can be in any direction - as long as the radius of the great circle is the same as the radius of the globe.
@ I was wrong in my assertion. After more research, live leaned that a great circle is one scribed by a flat plane that passes through the Earth's centre.
@daksta50 Wayne actually does get it right..... when you think he may have missed something....... you soon realise no. 🎉😂❤ he probably spends more on the topic than we ever will. 😊
Shortwave radio amateurs (ham radio operators) are used to this curvature. For example, if I‘m in Germany and want to point my directional antenna towards Australia, it would be a bit more eastwards than one would expect from looking at a flat map.
I'm so glad I found this channel. It's always interesting, understandable and entertaining. Plus I get waffles.
super underrated youtuber
Can't believe there was no 'waffle' on the comedy rain...Seriously, excellent video once again. Very much appreciated Sir.
All British hill walkers will fully understand "Comedy Rain"
As the Earth is mostly covered in uncarbonated water therefore, technically it's flat
I'll get my coat...
Well, despite your best efforts, it's still water.
All bodies of water are level.
@BrianFrost-ww1te
Water can be seen to curve in Ship Model Basins
Globe confirmed 💯 🌎
It's honestly amazing how easily one can do rudimentary star navigation, and how involved it can become when you try to get more information out of the view of the sky
I just love these videos and save every one 😍 Thank you 😊
If you keep following any bearing (other than N, E, S, W) you will follow a spiral path towards a pole, called a rhumb line
I suppose you'd theoretically also approach the pole asymptotically, since you're always pointing some amount off N or S and so never actually towards the pole. Infinite spiralling is how my walks feel sometimes 😂
All lines of longitude are big circles and all lines of latitude, without the equator, are small circles. But not vice versa...
The shortest line between two points on a globe is always part of a big circle and called an orthodrome.
Sticks and mud will do fine. Chalk and talk with a blackboard is an old fav of mine.
Instead of "imagine an orange" you did it, thank you.
He actually DID it! 🎉🎉🎉🎉🎉
It’s a bit like walking over a hill. You can straight-line up and over or you can walk around the side partly up the slope and cover the same distance. Mercator shows great circle as straight lines.
I would LOVE if you would explain various map projections, especially with the help of oranges! 😁
A brilliant video
I believe the walking club navigator was referring to the ACORN EARTH THEORY.
That would explain the top down circumference deviations.
Cheers!
"He doesn't want to give any more information" in my experience means "He didn't actually understand what he was talking about and didn't want to admit it"
Lines of constant bearing are also known as _loxodromes_ , and in general are neither great nor small circles, except for the 4 cardinal directions.
Famously, on a Mercator map, any loxodrome appears as a straight line, which is why the Mercator projection is so enormously useful for maritime navigation. A loxodrome course between two points is easy to follow, but the price is that this course does not (in general) give the shortest path. That would be the distance along a great circle, which, however, can be approximated by loxodromes, making course corrections every hundred miles or so.
Mercator charts and following a straight (loxodromic) course is great for the short (ish) distances covered by the chart. It is a curious property of such a course that it will not bring you exactly to a destination thousands of miles away. The course so described is actually a spiral with a progressive curve so ultimately you get ever closer to your destination but never quite reaching it.
This is due to Mercator properties of stretching some latitudes more than😢 others to fit onto a neat flat paper chart. For long distance planning say across an ocean a gnomic chart is useful. Great circle courses then appear as straight lines.
As was said above, Great Circles are lines of longitude and lines of latitude other than the equator ARE NOT.
The essential difference is that the plane of a Great Circle cuts through the centre of the planet. A small circle is any other slice. (the earth Scalped)
Great circle: equatorial or polar.
Lesser circles: higher latitudes, or parapolar
👍
Great circle? Get a globe and a piece of string. Stretch the string between any two points of interest and its path across the globe is a great circle. As stated elsewhere, the equator is a great circle, and all lines of longitude (which go through both poles) are great circles. But ANY circle that goes around the earth and has its center at the center of the earth is a great circle. Traveling along a great circle is always the shortest distance between two points (on an idealized, perfect sphere, earth). Reality is always a bit more complicated, but not much in this case if the distances are great. Anyway, especially useful when sailing or flying.
Perish the thought that you ever become a “real “ you tuba 🎺
Wayne, have you hiked Derwent Edge? Saw some pictures of the area, it's beautiful!
Yes I've been there many times.
Me understands mud and stick more good😐
So the question is... "which is the shortest distance between the same two points... the great or small circle"?
There can't be both. It's either a great circle or a small circle
Its flat bro trust me not this 🟢more likely to be this 🟩
Let’s keep the comedy to the rain, eh, bro’. 😂
I think you should have mentioned that your great circle was, and could only be, on the equator. At least it appeared to be. Or it otherwise could only have been on a meridian of longitude.
I'm going out on a limb here, but I've for the most part, learned something from your videos that I've seen, but I think you missed the mark on this one by quite a bit. In my opinion.
If you look at the orange that I cut in the video, that's not cut around the middle (the equator) and it's still a great circle.
A great circle can be in any direction - as long as the radius of the great circle is the same as the radius of the globe.
@ I was wrong in my assertion. After more research, live leaned that a great circle is one scribed by a flat plane that passes through the Earth's centre.
@daksta50 Wayne actually does get it right..... when you think he may have missed something....... you soon realise no. 🎉😂❤ he probably spends more on the topic than we ever will. 😊