What is the precise location of Los Angeles? It can be stated in relative terms about 3, miles west of New York, for examplebut for a cartographer, pilot, geologist, or geographer, a much more specific measurement is needed.
In order to precisely locate any spot in the world, therefore, we use a geographic coordinate system that is measured in degrees of latitude and longitude. This system starts with an imaginary grid of lines that cover the entire planet. Locations are measured based on both X and Y coordinates within the grid.
Because the Earth is round, however, the distances between lines on the grid vary. Longitude is defined as imaginary lines called meridians that run from the north to the south pole. There are a total of meridians. The Prime Meridian runs through the Greenwich Observatory in England, the location agreed upon by a conference in to be 0 degrees.
On the opposite side of the Earth is the international date line at approximately degrees longitude, though the date line does not follow an exact straight line. This keeps countries from being in different days. When a person crosses the international date line traveling from west to east, they move up one day. They move back one day when traveling east to west.
Latitude is defined as imaginary lines called parallels because they are parallel to the equator and to one another.
Calculating distance between two latitude longitude points
The equator, which runs in a circle around the center of the Earth, divides the planet into north and south hemispheres. Lines of latitude and longitude intersect, creating a grid that allows anyone in any location to pinpoint a geographic location.
There are degrees of longitude because meridians make Great Circles around the globeand there are degrees of latitude. To further specify exactly where to find anything on Earth, measurements are stated not only in degrees but also in minutes and seconds. Each degree can be broken into 60 minutes, and each minute can be divided into 60 seconds.
Any given location can be described in terms of degrees, minutes, and seconds of longitude and latitude. Degrees of latitude are parallel so, for the most part, the distance between each degree remains constant.
However, the Earth is slightly elliptical in shape and that creates a small variation between the degrees as we work our way from the equator to the north and south poles. This is rather convenient when you want to know how far it is between each degree, no matter where you are on Earth. Unlike latitude, the distance between degrees of longitude varies greatly depending upon your location on the planet.
They are farthest apart at the equator and converge at the poles. What if you are given two coordinates for latitude and longitude and you need to know how far it is between the two locations? You could use what is known as a haversine formula to calculate the distance — but unless you are a whiz at trigonometry, it is not easy.
Luckily, in today's digital world, computers can do the math for us. In Google Maps, for example, you can simply click on a location and a pop-up window will give latitude and longitude data to a millionth of a degree. Similarly, if you right-click on a location in MapQuest you will get the latitude and longitude data. Share Flipboard Email.Distance Calculator is use to calculate the distance between coordinates and distance between cities.
If you are not sure what the gps coordinates are, you can use the coordinates converter to convert an address into latlong format or vice versa. If you don't know your location, use the where am I right now to find out.
Coordinate Distance Calculator calculates the distance between two gps coordinates. Enter the two gps coordinates in latitude and longitude format below, and our distance calculator will show you the distances between coordinates. If you are traveling to different cities and want to calculate the distance between citiesyou can convert the city name to gps coordinates and then use the distance calculator or just use the distance between cities tool. To calculate distance between addressessimply use the gps converter to convert an address to latitude and longitude, and then use this coordinates distance calculator to calculate the distance.
It only takes a minute to sign up. Given a SINGLE longitude coordinate in decimal degrees, how do I calculate the distance in miles or km between latitude 0 and 1 at that longitude? For example, given EDIT: I posed the wrong question above. The correct one is below. I recognise the mkenndy's answer still points to the correct formula in one way or another, however, I need the point in bold below clearly set out.
Given a SINGLE latitude coordinate in decimal degrees, how do I calculate the distance in miles or km between any longitude at that latitude? Please use my example and show clear workings out in your answer to give the answer in miles or km. Marc's answer and its linked answers assume the earth is a sphere.
Simplified equations for a sphere are:. Note: If you want the answer in miles or any other linear unit, define the a and b if used values in the same unit OR convert after the calculation. Default is usually to use The equations as given return the length of a radian of longitude or latitude, respectively.
To get the length of a degree instead, multiple each equation by:. As a check, the approximate length of a degree of longitude at the equator is km as is the length of a degree of latitude everywhere varies from about The length of a degree of longitude will shorten as the latitude increases. At 45 N or S, the length is under 80 km, for instance. See John P. To convert a given latitude into the approximate distance in miles between 1 longitude at that point:.
Taken from: Navigation by a. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Approx distance between any 2 longitudes at a given latitude Ask Question.
In the real world, latitude and longitude play an important role in several fields and calculations, but one of their most common uses is measuring distances between points. Especially in fields like logisticstransportation, air traveland more, these calculations deliver a key component for examining the fastest, shortest, and most efficient routes between two locations. Today, the calculation is mostly handled digitally, with programs and algorithms designed specifically to uncover the answer.
Even so, understanding the basics behind the concept and comprehending how the math works is vital to ensure you understand exactly how to calculate distance using latitude and longitude. Latitude refers to the angle of a given point measured from the equator and with a vertex at or near the center of the earth depending on the type of latitude measured. Longitude is a similar measure, although it measures location to the east or west of the prime meridian—the imaginary line that connects the north and south poles and crosses Greenwich, London.
One of the most common ways to calculate distances using latitude and longitude is the haversine formula, which is used to measure distances on a sphere. This method uses spherical triangles and measures the sides and angles of each to calculate the distance between points. These equations can be carried out manually—with some difficulty—but today, there are several easy ways to calculate distances digitally, assuming you have the correct data, to begin with.
This includes knowing the start and end point they can be the cities, streets, or even smaller distancesas well as the geographical coordinates of each point. For example, if you measured the distance between New York and Tokyo, their respective coordinates would be as follows:. Keep in mind that for calculation purposes, southern latitudes can be expressed as negative numbers, as can western longitudes.
With these numbers in hand, you can plug them into the haversine formulae. Alternatively, you can use a latitude and longitude calculator, which uses an algorithm based on the formula to find the distance. In the pre-GPS and computer days, the haversine formula was a vital aspect of finding the most efficient distance between two points. Today, this calculation is still important, and it plays a major role in several industries.
For logistics, where distance and time can be the difference between profits and losses, finding the shortest possible point between two locations can greatly improve travel times and reduce wasted resources. More importantly, it can help calculations that feature several moving parts. For instance, an airline that has to fly between two locations with a layover can find the most efficient path to fly, reducing jet fuel use, time that a single airplane is occupied, and increase the number of flights possible in a day.
Even for delivery services, it can assist companies with planning the best possible routes for their teams to travel while reducing overall transit times, improving delivery speeds, and generating revenues. While pen and paper calculations are time-consuming—and not entirely necessary—understanding how to calculate distances using latitude and longitude can help any company identify better routes to cut down the distances their planes, ships, cars, and teams must travel.
The dark mode beta is finally here. Change your preferences any time. Stack Overflow for Teams is a private, secure spot for you and your coworkers to find and share information. I'm calculating the distance between two GeoCoordinates. I'm testing my app against other apps. When I'm calculating distance, I tend to get an average of 3. It's a big difference for the calculation I'm trying to perform.
Are there any good class libraries out there for calculating distance? I'm calculating it like this in C :. The GeoCoordinate class. GetDistance is the best solutionbut in many cases we can't use this Method e. Universal App. Pseudocode of the Algorithm to calculate the distance between to coorindates:. And here, for those still not satisfied, the original code from. For those who are using Xamarin and don't have access to the GeoCoordinate class, you can use the Android Location class instead:.
There's this library GeoCoordinate for these platforms:. Based on Elliot Wood's function, and if anyone is interested in a C function, this one is working This is an old question, nevertheless the answers did not satisfy me regarding to performance and optimization. Learn more. Asked 8 years, 10 months ago.
Active 2 days ago. Viewed k times. Pow Math. Atan2 Math. Sqrt result1Math. Sqrt 1. Should I calculate it in km first and then convert to miles? Jason N. Gaylord Jason N. Gaylord 6, 13 13 gold badges 50 50 silver badges 88 88 bronze badges. It could have, but my question pertains more to calculating this on a Windows Phone which is a bit different. The formula is the same, but newer method calls like the DistanceTo method aren't necessarily available.
Gaylord Jun 17 '11 at Active Oldest Votes.For those who are in a rush for the solution and don't need all the background information, jump to the longitude latitude code.
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Or download the calculation workbook, and enter your longitude and latitude. The search for an accurate solution to this problem has led me to numerous sites and attempted solutions. A long list of related sites is included at the end of all of this, but the most crucial to what I've found to be the current end of the road are these:. Programming Book. Vincenty's Formulae. A formula that is accepted to provide results that are accurate to within millimeters is known as Vincenty's formula.
Why all the fuss over accuracy? Well, from what I've seen of other formulas, especially those written as a single worksheet function, their values differ quite a bit for what might be considered 'life critical' situations. Typically they are short by some number of meters, typically about 20 to 30 feet per statute mile, and after flying just 30 or 40 miles, I wouldn't care to land several hundred feet short of the approach end of a runway, much less be off by over 7 miles on a trip between Los Angeles and Honolulu.
Since the general tendency in dealing with these types of calculations is to "measure it with a micrometer, mark it with chalk and cut it with an axe", what we have here is a very precise micrometer to begin the measuring process with.
There are numerous Excel worksheet functions that will return an initial heading from one point to the destination point for a Great Circle path between them and similar formulas to return the distance between them. But based on experience using them and comparing them to known measured distances, the Vincenty method of calculating the distance between the points has not been translated into a single Excel worksheet function, and very likely cannot be at least not easily.
Because it relies on reiterative calculations to deal with points that are very close to being on the exact opposite sides of the world, implementing it as even a series of Excel worksheet formulas is a daunting task. During my search I first found the movable-type. That didn't do me much good as far as coming up with an Excel VBA solution; so I continued the search and finally found the lost-species. When I moved that code into an Excel code module I was confronted with two sections that Excel not so politely informed me were "too complex" for it to evaluate.
I managed to break those down into simpler statements that Excel could deal with and that did not corrupt the final results. That is the sum total of my contribution to the function provided below. I claim nothing more than that small contribution. But before using the function, there are a few preliminary steps that must be considered. Most significant is that Excel and VB works with angles expressed in radians, not as decimal values of the angles, nor from their initial "plain English" representation.
You need to get that into radians, and there is not a direct way to do it, before we can get it to radians it has to be converted into a decimal representation. We need to see it as: Luckily Microsoft provides a couple of handy functions to convert standard angular notations to their decimal equivalent, and back, at this page:. Those routines are included at the code section and one of them has a change made by me to permit you to make a regular angle entry as.
After converting the standard notation to a decimal value, we still have to convert that to radians and deal with the sign of the radian result. The routines and formulas here consider negative latitudes to be South latitudes and negative longitudes to be West longitudes.
While this may seem unfair to those of us living in the western hemisphere, what can I say other than deal with it!? A decimal degree value can be converted to radians in several ways in Excel and for this process, a simple function is used that is also included in the code presented later.So there are hell lot of examples in our day to day life where we have to calculate the distance between two points and if you are working with any of the POI datasets as a Data Scientist then you might encounter such uses cases frequently.
Look at that aerial distance Black Bar Scale that google displays for the distance between two points. Here are three abstractions which is considered for calculating the distance between two lat and longs:. The shortest distance between two points in a plain is a straight line and we can use Pythagoras Theorem to calculate the distance between two points.
Greater Circle Distance Algorithms are used to calculate the distance between two points which assumes earth as a spherical object. Haversine Algorithm is used to calculate this distance. An ellipsoid approximates the surface of the earth much better than a sphere or a flat surface does.
The shortest distance along the surface of an ellipsoid between two points on the surface is along the geodesic. Vincenty Algorithm is used to calculate this distance. To calculate the distance between two points there are two popular algorithm Haversine and Geodesic distance is used:. Haversine computes the great circle distance on a sphere while Vincenty computes the shortest geodesic distance on the surface of an ellipsoid of revolution. This returns the minimum spherical distance between two points or multipoints arguments on a sphere in metres.
The points has to be entered within the following range:. Google also calculates the same distance The calculated value is in Degress and to convert that to KM I have multiplied the result by i.
As per wikipedia,The haversine formula determines the great-circle distance between two points on a sphere given their longitudes and latitudes. Important in navigation, it is a special case of a more general formula in spherical trigonometry, the law of haversines, that relates the sides and angles of spherical triangles.
The geodesic distance is the shortest distance on the surface of an ellipsoidal model of the earth. The default algorithm uses the method is given by Karney geodesic.
The Geodesic distance is also 28 KM which is same as the Spherical and Pythagoras distance that we calculated above. Jersey City here using haversine formula. For this task, I have taken 4 Walmarts Latitude and Longitudes in a Pandas dataframe as shown in the image below:. Using the Haversine formula explained above it returned two walmarts from the above dataframe, One Walmart is in New York and the other one is in Bayonne which is within the radius we are looking for since both New York and Bayonne lies within a radial distance of 50 Kms from Jersey City.
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