Calculating Distance (in degrees) with Latitude
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- Опубликовано: 13 окт 2015
- In this tutorial, Jennifer shows how you can use a location's latitude to determine how far north or south the location is from another location, measured in degrees of latitude. The same process can be used to calculate how far east or west a location is from another using longitude. One important reminder that is shown is how many minutes are in one degree of distance on a circle.
Note 1: When measuring distance on a sphere, the unit of measurement is in degrees (shown in this video calculation).
Note 2: Because the Earth is not a perfect circle, the distance represented by 1 degree changes depending where you are on the globe. If you are looking to convert the degrees measured to another unit, you will need to figure out if you are looking at a distance between latitude or longitude before converting them. Please consider this site as a starting point: www.usgs.gov/faqs/how-much-di...
......To continue on with the actual distance.
We convert the 3° 37' to decimal degrees. With 60 minutes per degree we divide 37 by 60 (disregarding the 3° and working with the minutes only). _37/60 = 0.616_
Decimal degrees = 3.616 (tacking on the .616 to the original 3° that we disregarded earlier)
There are 69 miles or 111km per degree of latitude
So the distance is 3.616 * 69 = 249.504 miles, or 401.376 km (North to South only)
Since both locations are on a different longitude line the distance is further than that and things get a lot more complicated.
You'll need the Haversine formula to determine the exact distance.
Hi Fritz, I followed yoyr explination. True!
Appreciate if you could explain to me the Haversine formula.
Cheers
@@ricardojuricic9027 Hi Ricardo, Sorry I didn't get the notification for your comment. 😒
The Haversine formula uses Radians instead of degrees, and calculates the distance by using the centre of the globe as its reference point instead of the surface of the globe like above.
In Excel, the formula looks like this:
=ACOS(COS(RADIANS(90-LAT1)) *COS(RADIANS(90-LAT2)) +SIN(RADIANS(90-LAT1)) *SIN(RADIANS(90-LON1)) *COS(RADIANS(LON1-LON2))) *6371
So certainly something you couldn't do in your head, or even just on a standard calculator for that matter.
The LAT1, LAT2, LON1, LON2 are the coordinates in decimal degrees and the 6371 at the end of the formula is the earths radius in kilometres. _(change to 3958.75 for miles, or 14158 for Toyota Corollas 🤣 )_
And just out of boredom, I created a Google spreadsheet that calculates the distances between two lat/lon coordinates and gives the result in kilometres, metres, miles and feet for all of the planets, including the sun.
It also converts Degrees, Minutes and seconds to decimal degrees and Decimal degrees back to Degrees, minutes and seconds. _(approximately)_
Hopefully the link and public sharing works:
docs.google.com/spreadsheets/d/144G5yiZfW5JfgBSqMDWpfjutTZO8zNVauVDWwjvcHCk/edit#gid=0
@Manjeet Reply to you is in the works, my dog is hassling me for attention at the moment.
@manjeet singh I don't know of any "official" way of working that one out, but just off the top of my head, I'd do it this way:
Assuming you're at 45° Latitude and you want to calculate the distance between 0° longitude and 27° longitude. So the difference is 27°.
First you would need to calculate the radius of the earth at 45° latitude:
Start with the radius of the earth at the equator (6371 km) and multiply that by the Cosine of 45
6371 x Cos(45) = 3346.8 km _(This is the radius of the earth at latitude 45°)_
Then calculate the circumference of the earth using the radius at latitude 45°
2 x 3.1415 _(PI)_ x 3346.8 = 21028.5 km
Then divide the circumference by 360° _(This should give you kilometres per degree)_
21028.5 / 360 = 58.4 km per degree
Then multiply that by your original 27° difference
58.4 x 27 = 1576.8 kilometres
_It's approximate, but close enough for this exercise)_
@manjeet singh Yes, 1° between longitudes = 58km, but only at latitude 45°
If you're at latitude 37° for example, you would have to change all the 45's to 37 to get the correct radius for a different distance since the longitude lines converge at the poles.
This was helpful! thanks!
Hi, never thought about using that simple calculation. Very interesting Jen.
Really nice, concise, understandable information and presentation - thank you so much
It took you three minutes (time minutes) to explain how to subtract one measurement of latitude from another? WOW. I'm glad I had an English education and did the calculation in my head.
Hello Jennifer Lewis, Could you tell me how to calculate arrival position? Means if initial latitude and Difference of latitude is given then how to calculate arrival latitude?
Finally! Someone could explain this properly. I thank you :)
I would like to ask so they also know why you need to subtract the latitude? How about adding the latitude? What are the sign to use +/-
Hello Jennifer... Great presentation by the way! I wanted some additional information however. I have in the past, using pre-written code snippets, done this for Google Earth projects. But, I want to know how to do the following using math alone in my Python program so that I can input two sets of LAT/LON points (point A to Point B) and from those two LAT/LON inputs, I can obtain two results. First, the bearing in degrees from point A to point B and the distance between the two points. Additionally is there a way to calculate both this in terms of either (T),True North or (M), Magnetic North results??? Thanks and look forward to your reply... Also, will the distance be in meters or feet / statue miles etc?? Thanks
What is the length of a 3º increment along
on a meridian and on a parallel at 30S, 90E ?
Can you help me? We need the exact coordinates 3 miles and 6 miles out: north, south, northeast, northwest, southeast, and southwest away from 2720 wrondel way Reno nv as the center point
Good job, and very nice tutorial. thanks for sharing.
Hello,how we can calculate distance in km or meter from degree and minute?
So if 1 degree is 60mins on the latitude what about longitude does the same principle apply there as wlel
Thanks, You took me to my olden days in school.
All I need to know if its towards my goal in life, or not.
Nothing else matters.
I have forever.
so what is the distance between the two cities in miles or kilometre?
Hi madam how many different between when we calculate latitude on sea and same on earth by north star.
Dear Ms.
If I have my own Lat & Long, how can I find the South and East Lat & Long 1km from mine?
Thanks.
What happens to the length of a degree as one nears the North and South?
Exactly the information I was looking for.
if suppose going from north to south how to convert thn ??
Hello ....i have a question? What is the different of lattitude if the vessel departed in lat. 10040'N and arrived 10040' ?
ok so , how we gonna calculate the distance difference like how much in meters?
You are flying from A (30S 20E) to B (30S 20W). What is the initial GC track ?
Thank u but how to find distance between two points with longitude and latitude for example 62n 020w and 58n 004E
Sqr R2+a2gos -2Ragos Cosb
This is the simplest and most understandable way. Thanks. Can You Please help me out in calculating distance between decimal lat lon coordinates
Explained very well thank you mam.😊🙏🙏🙏🙏 this video very helpful for us.
Thank you Ma'am. Please make one more video on how to calculate distance between tow longitudes at different latitudes.
But what does that 3 degrees, 37 minutes mean? Is that 3hours and 37 min? How do you find or can you find the miles between the two latitudes? If I wanted to know what city was 50 miles from San Fran, how would I figure that?
at the end point of this video you get the 337 but how do i then make this into xyz(nms)? pls help
hmmmm ... I'd say you're half way through.
Are at the same longitute?
And then would have to turn that figure into distance ....
Thanks
Why are the locations measured in time (like minutes etc)? Is that how long it would take the earth to spin to that place? I don't get it. Why? Thanks
Thank you for making this as simple as this😊
I think this calculation can be taken one step further. I believe one degree minute is equal to 1.15 miles. so if you convert your final answer to minutes and multiply by 1.15 you can get an estimate of distance in miles. Of a course the further you are left or right in terms of longitude you and to do some more math.
all doubts cleared . thank you so much mam . youre awesomeee!!!!
Thank you so much, it was easy to understand
How to calculate latitude longitude sums like moving 23 degree xx minutes East from 100 degree yy minutes W.?
This is very helpful and brief..
How do you convert degrees n minutes into miles?
Awesome.... 1°=60`, 1'= 60"
And 1° latitude is approx 69 miles that is 111 km..
Thanks for explaining it in simple method
first time i am really able to understand the calculation thanks for sharing, great job
Thank you very much for sharing.
Please can you do this one calculate the difference in latitude between Mahikeng and Mthatha
Very helpful! Thank you!
Please explain how calculate angle of moon with our latitude.
So how do we deal with the distance if they have the same latitude but for the longitude that are located in two different hemisphere. I have one which is 30 N 90W, while the other coordinate is 30 N 120 W
Hi Asuka
As 1 nautical mile is equal to 1 minute, and it's 60 minutes to 1 degree (1°).
Between 30N90W to 30N120W
120-90 = got 30° difference
1' = 1nm
1° = 60' = 60nm
30° x 60nm = 120nm difference
to know it in km
1nm = 1.852km
120nm x 1.852km = 222.24km (that is 222km 240mts)
Thank you so much mam lots of love from India🇮🇳
Thank you sooooo muchhhhhhhh❤ .you have solvedmy biggest problem.
Very useful. Thanks!
Excellent explanation - Thanks Buddy
Teach us to calculate exact time difference from two longitudinal point too please...
And how to find exact distance using this
can you tell me how to find longitude of that place when it is 6am at Greenwich and it is noon at that place
Piya Ghosh very good question?? Kindly someone answer it
Sun moves 15 deg per hour. 360/24=15. Your place is 90 deg East of Greenwich, 15 x 6=90
@@Paddington60 Earth is FLAT.
Also to note that 1min of latitude is 1 Nautical mile. So 3 degrees and 37 mins is a total of 217 minutes. so 217*1.85km = 401.5km.
This video did not get to actual conversion .
Use 1degree of latitude = 111 km
And for longitude distance use the cos( mean latitude )* 111 km to determine actual distances.
So the difference in just latitude is
3.616 *111km/deg=
401.45 km
Good lesson mam... little elaborate more on latitude longitude subject
Wait isnt both Lattitude and Longitude measured in degrees? And are the coordinates set in (lat, long) or (lon, lat)?
very informative but how can we calculate latitudinal and longitudinal distance any idea mam....
Thanks for the video....................................... & THUMBS UP :D
Thank you very much, really helped
Please make a video on Vincenty's formulae
Dear Syed wajahat
for distances until 600 nautical miles you can use the technique of middle latitude , +600 ' you must use mercator technique or great circle navigation
If other people want me to explain this, then just comment and I will make a video about the topics of interest. Greetings, Jan Jaap MAES
Hi Jan, please do so and then bring the link to cross over.
Thanks tons
Cheers
Thank you🙏💕 guru ji
Great presentation
thank you so much...can you add more questions cause it will very helpful for university students like us...
how much mile is in 1 degree lat
Thanks, What if we have two point (each having Lat and long) and we want to know the distance between them in Km?
It's really not that hard...
Haversine formula: Where
a = sin²(Δφ/2) + cos φ1 ⋅ cos φ2 ⋅ sin²(Δλ/2)
c = 2 ⋅ atan2( √a, √(1−a) )
d = R ⋅ c
φ is latitude, λ is longitude, R is earth’s radius (mean radius = 6,371km);
note that angles need to be in radians to pass to trig functions!
or just go here ... www8.nau.edu/cvm/latlongdist.html
yes , but the title of this video seems to be about proving Hervesine formula or at least giving some clues about the proof.
+tubedude54:
Do you have a program that can type the math symbols and if so, what is it called? Where do you get it? ... probably expensive huh?
To tell you the truth you don't really need to compute for the radius of the earth unless you are going a very long distance. Even then, you could use simple geometry and add 10% or ? to the results. That would place you pretty close to a final destination unless you're expecting meeting someone at a specific time and place.
1 nm = 1852 m.. so when you calculated in nm you can convert to km when you count to time them ..
What is the Sign is that 3°37'S?
how to calculate distance between source(lat,long) destination(lat,long) in km or miles ...?
You need to use haversine great circle distance formular.
How much distance in meters using the latitude
Could you please also explain why the linear distance of one degree of latitudinal variation is higher at the poles than at the equator?
Because of magnetic attraction
Mam you are very great but can you solve more problems because I want to understand the whole concept 😍
can u plz make a time zone video for gr6
this was really useful. thank you very much. how do we find distance between them in miles? do we divide the degree we just found by 180 and multiply by pie? I was watching another video about distance but would be good to add that here. thank you
Sister, I could not understand. What did she teach me
No, take the degree and multiply by 60, that's the nautical miles distance.
It says 3 degrees, 37 minutes. Now, 1 degree = 60 minutes, so 3 degrees = 180 minutes. Now, add the 180 and 37 to equal 217 minutes. But, 1 minute = 1 nautical mile. So, 217 minutes is 217 nautical miles, not your statute miles you're probably more familiar with. Now, 1 nautical mile = 1.1508 statute mile. That means 217 x 1.1508 = 249.72 statute miles, about 250 regular miles.
Calculate distance
between Latitude/Longitude points
What we will put North Or South in direction.... Please reply to my question... From 🇮🇳 🙏🙏🙏🙏
What about calculating difference between two places with different latitude AND longitude?
Thisss
Mam I have a doubt can I ask you.
Thanks very much for this
Very helpful. Thanks
How to calculate circumference (in miles) of a given latitude?
20,906,000’ mean radius earth.
Diameter times pi.
Divide by 360, divided by 5280..
That gives you miles per degree.
Divided by 6080 if you want nautical miles
What is Rhumb lline?
Why isn't anyone telling us what to do if they are on the equator and the prime merindian
thanks for sharing
What about the Sign?
why have made 19 inplace 79 ?
I can't make a distance of this yet. :D something must be done to explain the use of such info :D
I have a question
If you were our teacher ..
Attendance 100%
thank you very helpful
Thanks a lot!!!
Got it!! I got a dumb question how do I find the difference when using latitudes N vs S? Example 19.5N with 12.52S
In that case you add them together
Yes, but since we know Earth is flat we can just make a grid pattern and use numbers and letters to find the location. (yes, I'm kidding... haha just wanted to stir up the nerds.) This was a good, and simple, explanation. Thanks Jenn.
What if they have different latitudes 🤔
Find longitude if local time is 6:00am and gmt is 2:00am with explaination.
Super explanation
while your explanation is good, i was expecting you to use departure
i remember learning to navigate in high school and having to learn by rote the distance decline of long as you reach the poles and how knowing this made error checking quicker....i made a lot of errorrs when i was learning and could never fix a sun sight closer than 3 NM E/W of my longitude
good job
Thanks for the tutorial! hair tutorial next?
Thanks!
Thank you sooo much mam 🙏☺