Address Distance Calculator
This tool calculates distance from coordinates linked to address labels. Enter coordinates from a map service for each address. No private address lookup key is required.
Example Data Table
| Start Address | End Address | Start Lat | Start Lon | End Lat | End Lon | Suggested Route Factor |
|---|---|---|---|---|---|---|
| New York City | Los Angeles | 40.7128 | -74.0060 | 34.0522 | -118.2437 | 1.18 |
| London | Paris | 51.5074 | -0.1278 | 48.8566 | 2.3522 | 1.25 |
| Tokyo | Osaka | 35.6762 | 139.6503 | 34.6937 | 135.5023 | 1.12 |
Formula Used
1. Haversine distance
a = sin²(Δφ / 2) + cos(φ1) cos(φ2) sin²(Δλ / 2)
c = 2 atan2(√a, √(1 − a))
d = R × c
Here, φ is latitude, λ is longitude,
and R is Earth radius.
2. Elevation adjusted distance
d3D = √(surface distance² + elevation difference²)
3. Travel time
time = route adjusted distance / average speed
4. Route adjustment
route distance = direct distance × route factor
How to Use This Calculator
- Enter the first and second address labels.
- Add latitude and longitude for both addresses.
- Add elevation values if vertical difference matters.
- Choose Haversine for long distances.
- Choose flat approximation for nearby points.
- Select your preferred output unit.
- Enter average speed for travel time estimation.
- Use the route factor to approximate road distance.
- Press the calculate button.
- Download the result as CSV or PDF.
Physics of Distance Between Two Addresses
Why Coordinates Matter
A street address is a human label. Physics needs measurable positions. Latitude and longitude convert each address into a point on Earth. Once both points are known, the calculator can estimate displacement, direction, travel time, midpoint, and route-adjusted distance.
Direct Distance and Motion
Direct distance is the shortest surface separation between two points. It is useful for studying displacement, signal range, drone planning, aviation, field measurements, and basic motion problems. The Haversine formula treats Earth as a sphere. This gives a reliable great-circle estimate for cities, regions, and international distances.
Flat Approximation
The flat method is faster and simple. It works best when two addresses are close together. It projects the curved surface into a local plane. For short distances, the error is often small. For long distances, Earth curvature becomes important, so the Haversine model is better.
Elevation and Three-Dimensional Distance
Real movement may include vertical change. A hill, bridge, tower, valley, or mountain route changes the physical path. The calculator can include elevation difference as a vertical component. This creates a three-dimensional distance using the Pythagorean relationship.
Bearing and Direction
Bearing shows the starting direction from the first address to the second address. It is measured clockwise from north. A bearing near zero points north. A bearing near ninety points east. This is useful for navigation, mapping, surveying, and physics vector diagrams.
Route Factor and Travel Time
Direct distance is rarely the same as road distance. Roads curve, avoid obstacles, and follow networks. The route factor estimates this difference. A value of 1.00 means direct distance. A value of 1.20 means the route is twenty percent longer. Travel time then comes from distance divided by average speed.
FAQs
1. Can this calculator find coordinates from an address?
No. It calculates distance after you enter coordinates. You can copy latitude and longitude from a trusted map service.
2. Which method should I choose?
Use Haversine for most cases. Use the flat approximation for short local distances where curvature has little effect.
3. What does route factor mean?
Route factor estimates how much longer a practical path is than a straight-line distance. Roads usually need a value above one.
4. Is the result exact road distance?
No. It is a physics estimate. Exact road distance needs live routing data from a map or navigation service.
5. Why include elevation?
Elevation adds vertical displacement. It matters for hills, towers, mountains, tunnels, drones, and physics problems involving three-dimensional motion.
6. What is bearing?
Bearing is the direction from the first point to the second point. It is measured clockwise from true north.
7. Can I export my calculation?
Yes. Use the CSV button for spreadsheet data. Use the PDF button for a simple report summary.
8. Why does speed affect the result?
Speed does not change distance. It only estimates travel time using the distance divided by average speed formula.