Distance Calculator Lat Long

Distance Input Form

Start latitude

Start longitude

Start elevation

End latitude

End longitude

End elevation

Elevation unit

Calculation method

Earth radius model

Custom radius in kilometers

Output distance unit

Optional speed

Speed unit

Example Data Table

Start Point	End Point	Start Lat	Start Long	End Lat	End Long	Suggested Method
New York	Los Angeles	40.7128	-74.0060	34.0522	-118.2437	Vincenty or Haversine
London	Paris	51.5074	-0.1278	48.8566	2.3522	Haversine
Sydney	Tokyo	-33.8688	151.2093	35.6762	139.6503	Vincenty

Formula Used

Haversine: a = sin²(Δφ/2) + cos φ1 cos φ2 sin²(Δλ/2), c = 2 atan2(√a, √(1-a)), and d = R c.

Spherical law of cosines: d = R acos(sin φ1 sin φ2 + cos φ1 cos φ2 cos Δλ).

Equirectangular: x = Δλ cos((φ1 + φ2) / 2), y = Δφ, and d = R √(x² + y²).

Three dimensional estimate: d3 = √(surface distance² + height difference²).

Here, φ is latitude in radians, λ is longitude in radians, R is Earth radius, and d is distance.

How To Use This Calculator

Enter the first latitude and longitude in decimal degrees.
Enter the second latitude and longitude in decimal degrees.
Add elevations when a three dimensional estimate is needed.
Select the distance method and Earth model.
Choose the output unit and optional speed.
Press the calculate button to show results above the form.
Use CSV or PDF download for reports.

What This Calculator Does

A latitude and longitude distance calculator helps you compare two points on Earth. It turns angular coordinates into a usable route distance. The tool is useful in physics, surveying, navigation, mapping, aviation, and field planning. It also supports elevation, so you can compare surface distance with a simple three dimensional estimate.

Why Latitude And Longitude Matter

Latitude measures position north or south of the equator. Longitude measures position east or west of Greenwich. Both values are angles. A distance formula must convert them to radians before calculation. Small coordinate changes can represent large ground movement, especially near the equator. The same longitude change is shorter near the poles.

Advanced Calculation Options

This calculator includes several methods. The haversine method is stable for many Earth distances. The spherical law of cosines is compact and useful for general checks. The equirectangular method is fast for short ranges. The Vincenty option uses an ellipsoid model. It can give stronger accuracy for long geodesic distances.

Physics Use Cases

In physics, distance between coordinates supports motion studies, wave travel checks, satellite ground tracks, and field measurements. A researcher can compare displacement, bearing, midpoint, and estimated travel time. The central angle also helps when working with spherical geometry. Elevation adds another layer for terrain or flight paths.

Interpreting The Results

The surface distance follows the selected model. The chord distance is a straight line through Earth for spherical cases. The three dimensional distance adds height difference to the surface path. Bearing shows the starting direction from the first coordinate. Final bearing gives the ending direction when approaching the second point. The midpoint gives a balanced point along the route.

Good Input Practice

Use decimal degrees when possible. Enter north and east as positive values. Enter south and west as negative values. Keep latitude between minus ninety and ninety degrees. Keep longitude between minus one hundred eighty and one hundred eighty degrees. Choose a unit that matches your report. Use custom Earth radius only when your project requires it.

Exporting Results

The CSV option creates a spreadsheet friendly file. The PDF option creates a simple report from the displayed output. These exports help document route checks, lab notes, site measurements, and classroom examples.

FAQs

1. What latitude and longitude format should I enter?

Use decimal degrees. North and east values are positive. South and west values are negative. For example, New York can be entered as 40.7128 and -74.0060.

2. Which method is best for long distances?

Vincenty is often best for long geodesic distances because it uses an ellipsoid. Haversine is also reliable for many general distance checks.

3. When should I use equirectangular distance?

Use it for quick short distance estimates. It is fast and simple, but it is less accurate for long routes or polar paths.

4. What does chord distance mean?

Chord distance is the straight line through Earth between two points. Surface distance follows Earth curvature, so it is normally longer.

5. Why does elevation affect the result?

Elevation creates height difference between points. The calculator combines that difference with surface distance for a simple three dimensional estimate.

6. What is initial bearing?

Initial bearing is the starting direction from the first coordinate toward the second coordinate. It is measured clockwise from north.

7. Can I use a custom Earth radius?

Yes. Choose custom radius and enter kilometers. This helps when modeling another planet, a sphere, or a special physics problem.

8. What does the CSV download include?

The CSV file includes result names and values. It is suitable for spreadsheets, simple logs, lab records, and route comparison sheets.