Distance Between Two GPS Coordinates Calculator
Accurately measure the great-circle distance between any two points on Earth.
What is a Distance Between Two GPS Coordinates Calculator?
A distance between two GPS coordinates calculator is a tool that computes the distance along the surface of the Earth between two points defined by their latitude and longitude. Instead of a simple straight line through the Earth, it calculates the shortest path on the surface, also known as the “great-circle distance.” This is conceptually similar to stretching a string between two locations on a globe.
This tool is invaluable for a wide range of applications, including aviation, maritime navigation, logistics, geography, and even for hobbyists planning a trip or wanting to know the distance between two cities. Our calculator uses the Haversine formula, which provides a highly accurate way to determine this distance.
The Haversine Formula for GPS Distance
To calculate the distance between two points, we rely on the Haversine formula, a mathematical equation that accounts for the Earth’s spherical shape. The formula is as follows:
a = sin²(Δφ/2) + cos(φ₁) * cos(φ₂) * sin²(Δλ/2)
c = 2 * atan2(√a, √(1−a))
d = R * c
This formula might look complex, but it’s a series of logical steps to get from coordinates to a final distance. For more details on the math, check out our guide on the haversine formula calculator.
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| φ₁, λ₁ | Latitude and Longitude of Point 1 | Degrees | -90 to +90 (lat), -180 to +180 (lon) |
| φ₂, λ₂ | Latitude and Longitude of Point 2 | Degrees | -90 to +90 (lat), -180 to +180 (lon) |
| Δφ, Δλ | Difference in latitude and longitude | Radians | Variable |
| R | Earth’s mean radius | km, mi, or nmi | ~6,371 km or ~3,959 mi |
| d | The final calculated distance | km, mi, or nmi | 0 to ~20,000 km |
Practical Examples
Example 1: New York to London
- Input (Point 1): New York City (Latitude: 40.7128°, Longitude: -74.0060°)
- Input (Point 2): London (Latitude: 51.5074°, Longitude: -0.1278°)
- Unit: Kilometers
- Result: Approximately 5,570 km
Example 2: Sydney to Tokyo
- Input (Point 1): Sydney (Latitude: -33.8688°, Longitude: 151.2093°)
- Input (Point 2): Tokyo (Latitude: 35.6762°, Longitude: 139.6503°)
- Unit: Miles
- Result: Approximately 4,840 miles
To find the angle of travel, you can use a bearing calculator in conjunction with this tool.
How to Use This Distance Between Two GPS Coordinates Calculator
- Enter Coordinates for Point 1: Input the latitude and longitude for your starting location in the first two fields.
- Enter Coordinates for Point 2: Input the latitude and longitude for your destination in the third and fourth fields.
- Select Your Unit: Choose whether you want the result displayed in kilometers, miles, or nautical miles from the dropdown menu.
- Read the Result: The calculator will instantly update, showing the primary distance result, a breakdown of the calculation, and a visual chart comparing the units.
Key Factors That Affect Distance Calculation
- Earth’s Shape: The Earth is not a perfect sphere; it’s an “oblate spheroid” (slightly flattened at the poles). The Haversine formula uses a mean radius, which is extremely accurate for most purposes but can have a small margin of error (typically < 0.5%).
- Calculation Formula: While Haversine is excellent, other formulas like Vincenty’s are even more accurate as they model the Earth as an ellipsoid. However, they are far more complex to compute. For a simpler tool, try our gps distance tool.
- Altitude: This calculator measures distance along the sea-level surface. If you are calculating the distance between two points at high altitudes (e.g., mountains or for aviation), the actual distance will be slightly greater.
- Coordinate Precision: The more decimal places in your GPS coordinates, the more precise the starting and ending points are, leading to a more accurate final distance.
- Data Source: The accuracy of your result is only as good as the accuracy of your input coordinates. Ensure they come from a reliable source. You might need a coordinate converter to get them into the right format.
- Route vs. Great-Circle: This calculator provides the straight-line or “great-circle” distance, not driving or routing distance, which follows roads and can be significantly longer.
Frequently Asked Questions (FAQ)
It’s the shortest possible distance between two points on the surface of a sphere. It’s the path a plane would ideally fly to save fuel.
Different industries use different standards. Kilometers are common in science and most of the world, miles are used in the US and UK, and nautical miles are the standard for aviation and maritime navigation.
This calculator is very accurate for almost all practical purposes. By using the Haversine formula and the Earth’s mean radius, the margin of error is generally less than 0.5% compared to more complex ellipsoidal models.
No. This tool calculates the direct “as the crow flies” distance. It does not account for roads, traffic, or other real-world obstacles. You’ll need a dedicated mapping service for driving directions.
Latitude lines run horizontally (east-west) and measure distance north or south of the Equator. Longitude lines run vertically (north-south) and measure distance east or west of the Prime Meridian.
You can easily find coordinates using online mapping services. Typically, right-clicking on a location on a map will reveal its latitude and longitude. Or you can convert an address using a latitude longitude distance tool.
NaN stands for “Not a Number.” This will appear if you enter non-numeric text into the input fields or leave them blank. Please ensure all inputs are valid numbers.
Yes, for distance calculation, the order does not matter. The distance is symmetrical. However, the initial bearing (direction) would be different.