Earth Geometry lesson 2 - Distance between two points on great circle
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- Опубликовано: 5 ноя 2017
- In this lesson we talk about how to find the distance between two points on the same great circle (i.e. same longitude, or two points on the equator).
This right here tells you that you had to have some type of mapping technique aerial device to be able to put certain structures were there put
I want this kind of explanation, but for two place that aren't on the same longitude or latitude. So for example Amsterdam = 52.4 N, 4.9 E and Shanghai is 31.2 N, 121.5 E.
My instinct would be to subtract the lower values from the higher values (with N and E being positive, S and W being negative). This would lead to both places being on (new) x and y axes. So then the coordinates, measured from this 'new origin' (in the Algerian desert), would be AMS = (21.2, 0) & SHA = (0, 116.6). Now the question is, what is the distance between these two points. We'd have to draw a great circle through these and it's possible to google the answer (8868km = 79.8 degrees), but I can't seem to think of a way to calculate this.
Use the haversine fomurla (nb it gives the shortest route and doesn't give into account whats on the ground like mountains etc)
It is very good map
Sir, what will do if lat of 90 degs increase into 91degs from the equator.? What method would you advice?
Lat 45`24'N
Lat 46`25'N +
= 91`49'
I think you should have subtracted them to get 1degree, one minute because they are in the same hemisphere
Sir, how can a great circle be drawn between two places with same latitude(not the equator) but different longitude?
Any two points on Earth can be located on a great circle.
Good one, explained simply.
8°x60'= 480' equivalent to 480 Nautical Miles.
60'x1.852km= 111.12km (not 111.2km)
1°= 60'(60 Nautical Miles)
How many great circle can get from the earth??
If the "Great Circle" has to pass through both the North and South Poles, there are an infinite number of circles that can be drawn.... One circle every mile apart, or every centimeter apart, of evenm every infinitesimal angular distance across.
In additional, Great Circles can be drawn across the Equator, in every direction - not necessarily in the East West Axis.
Great Circles can be drawn across ANY Point on the Earth's surface, to its antipodal position, cutting theour the Center of the Earth.
Thus the number of Great Circle are infinite.
For the record, the Earth is not a perfect sphere, as a ball, .... but is somewhat sqoosed - flattened on the poles. Look up Wikipedia.
There is an infinite number of great circle routes across the planet. The whole concept is that the shortest distance between two paths is an arc that, if extended around the planet, would equal the equator in length. In other words, shortest route=greatest circle
Centre of the earth implies to the actual centre (like the core) and not any specific point on the surface like north or south pole, any circle drawn anywhere on the earth that has the same centre point as that of the earth is a great circle , it need not be the equator or meridians , although good explanations
Correction: Longitudinal lines do not go THROUGH the center of the earth. They go OVER.
Thx so much , I have been wondering about it.
I thought you would find distance by using sqrroot((x1-x2)^2+(y1-y2)^2+(z1-z2)^2)
But then I thought that would give you the shortest path of 2 points in 3d space.
But earth is curved so , to find the distance of country or place that was directly opposite was not possible.
Jus google it and found.
And I have a question
How would you find the distance between 2 points in earth that are at same latitue (horizontal)?
Would you again
Do the same thing mutiplyig the angular distance with 111.19??
And how do you find the distance between 2 points (x1,y1) and (x2,y2) in which not any values a of x1 y1 x2 y2 are equal??
I don't think the north pole is the center of the earth, center of the earth is the earth core. There are two ways you can confirmed a great circle: 1st any line on the surface of the earth with it center coincide with the earth center 2nd any line on the surface of the earth with it plane cutting the center of the earth.
Sir please learn surface geography before trying to be the master
he is correct Aadyaa .. the north pole is not the center of the earth...wake up..
@@mondayschool lol clearly and looks hes talking aadya
Geez guys stop tok-ing everything, it just an established role for the math to work like science. if you believe that, there is no point clashing with each other
I scrolled through the comments to see if anybody had said anything about the centre of Earth not being the North Pole.
From where did you download this map sir?
Google Earth
It's on Encarta premium
is the 111.2 km constant?
yes
you can get a more accurate figure by converting degrees to minutes, by multiplying by 60 which is equal to nautical miles, then to feet by multiplying by 6080, then to km by dividing by 3280... but of course this method is longer
Hi what app did u use to demo this globe ?
That helped alot, maths here I come
It is more accurate to convert 8° to radians first before solving for the distance. Also it is possible to find the great circle distance between two points which are not on the same great circle: arccos((sin[lattitudeA rad] * sin[lat. B rad]) + (cos[lat. A rad] * cos[lat. B rad] * | long.A rad - long. B rad|))
how does one actually use this formula?
Actually, the "math or science" of this was originally accomplished in english units, which is where a nautical mile comes from. One minute of arc 1/60th of a degree is a nautical mile. And of course the division of a circle can be created in any units. The real interesting part of this is understand how and why mariners use great circle routes as opposed to drawing/sailing straight lines on maps!!!!
Your showing a ball or a sphear not a curcle learn the diffrents
You can correct your spelling before correcting an educator.
He is referring to the Latitudes, not the globe! Gosh, clear your concept of Latitudes and Longitudes before going to more advanced topics.
You're showing four misspellings in one very short, incomplete sentence. Your criticism has lost virtually all of its intended value.
This is ridiculous. Its 2020 and we are still using that estimated bullshit radius.
It's proven to be accurate, so we'll keep using it.
Great Circle ? That is a simpl Lie. Earth is flat.
bro it is NOT flat
Oh look, a flat earth moron, smearing himself across the comments section.
Looks good on this CGI spinning ball. The reality is that the earth is Flat! Just look at the natural properties of water. Always is always level and flat. Only on an imaginary masonic CGI spinning ball-earth does water bend.
Level is not flat, try again!
The reality is that the Earth is not flat, but if you're happy with your lies, who can stand in front of your happiness. Sailors know better than you about the shape of the world, pilots.
Hi 🤡, what's the radius of your flat earth?