GPS Point Distance Angle Calculator

Calculate GPS distance, bearing, central angle, and midpoint quickly. Enter two coordinate points with elevation. Get clear mapping outputs for routes, surveys, and physics.

Calculator

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m
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Formula Used

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 in radians. λ is longitude in radians. R is Earth radius. The calculator also uses spherical bearing, midpoint, chord, and elevation angle formulas.

Initial bearing:

θ = atan2(sin Δλ × cos φ2, cos φ1 × sin φ2 − sin φ1 × cos φ2 × cos Δλ)

Elevation angle:

elevation = atan2(altitude difference, surface distance)

How to Use This Calculator

  1. Enter the name, latitude, longitude, and altitude for Point A.
  2. Enter the same details for Point B.
  3. Keep latitude between -90 and 90 degrees.
  4. Keep longitude between -180 and 180 degrees.
  5. Choose your preferred distance unit.
  6. Adjust Earth radius when a special model is needed.
  7. Press the calculate button.
  8. Download the result as CSV or PDF when needed.

Example Data Table

Point A Point B Latitude A Longitude A Latitude B Longitude B Approx Distance Approx Bearing
London Paris 51.5074 -0.1278 48.8566 2.3522 343.556 km 148.116°
New York Los Angeles 40.7128 -74.0060 34.0522 -118.2437 3935.746 km 273.688°
Sydney Melbourne -33.8688 151.2093 -37.8136 144.9631 713.427 km 231.474°

GPS Distance and Angle in Physics

GPS points describe places on Earth with latitude and longitude. Distance is not a straight line on a flat page. It follows a curved surface. This calculator uses spherical geometry to estimate that path. It also gives the bearing angle from the first point to the second point.

Why the Result Matters

A distance and angle pair is useful in field physics. It helps describe displacement on Earth. It can support motion studies, survey notes, antenna alignment, hiking routes, drone checks, and map planning. The distance shows travel along the surface. The central angle shows how large the arc is at Earth center. The bearing shows direction from true north.

Useful Outputs

The tool reports several results at once. Surface distance is shown in your selected unit. Initial bearing gives the starting direction. Final bearing gives the arrival direction. Reverse bearing helps return to the first point. Midpoint coordinates describe the halfway surface location. Chord length shows the straight line through the Earth model. Elevation angle uses altitude difference, so it can describe climb or drop.

Accuracy Notes

The calculation assumes a spherical Earth radius. That is simple and fast. It is accurate enough for many learning, planning, and estimation tasks. Real geodesy can use ellipsoids. An ellipsoid is better for high precision surveying. You can change the radius value when your project uses a special model. Keep coordinates in decimal degrees for best results.

Good Input Practice

Use positive latitude north of the equator. Use negative latitude south of it. Use positive longitude east of Greenwich. Use negative longitude west of it. Check signs before trusting any route result. A small sign error can move a point across the globe. Use more decimals for better location detail.

Physics Meaning

The distance can be treated as arc displacement. The bearing is an azimuth angle. The central angle is measured at Earth center. Together, these values connect coordinate geometry with circular motion, vectors, and navigation. They show how location data can become measurable physical quantities.

When to Use It

Use calculator before field work. Save results for reports. Compare repeated measurements. Test classroom examples. Share CSV rows. Print the summary when a record is needed.

FAQs

What does GPS point distance mean?

It is the surface distance between two latitude and longitude points. This calculator uses a spherical Earth model and returns the distance in your selected unit.

What is the bearing angle?

The bearing angle is the starting direction from Point A to Point B. It is measured clockwise from true north in degrees.

What is the central angle?

The central angle is the angle at Earth center between both points. It is useful for spherical geometry and arc distance calculations.

Why does the calculator ask for altitude?

Altitude helps estimate height difference, elevation angle, and 3D straight distance. Surface distance still depends mainly on latitude and longitude.

Can I use negative coordinates?

Yes. Use negative latitude for south locations. Use negative longitude for west locations. Check signs carefully before calculating.

Is this accurate for surveying?

It is useful for estimates, learning, and planning. High precision surveying may need ellipsoidal geodesic methods and certified field instruments.

What Earth radius should I use?

The default mean radius is 6371.0088 km. You can change it when your project requires a different spherical model.

What is the midpoint result?

The midpoint is the halfway location on the spherical path between both points. It is returned as latitude and longitude.


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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.