Bearing Between Two Coordinates Calculator

Enter two coordinates to compute precise bearings. Review distance, midpoint, angles, and compass labels quickly. Download clean results for mapping, field notes, and learning.

Calculator

Formula Used

The calculator uses the great circle initial bearing formula. Latitude values are converted to radians before calculation.

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

Normalized bearing: Bearing = (θ in degrees + 360) mod 360

Distance: a = sin²(Δφ / 2) + cos φ1 × cos φ2 × sin²(Δλ / 2). Distance = R × 2 × atan2(√a, √(1 − a)).

Magnetic bearing equals true bearing plus entered declination. Use east declination as positive and west declination as negative.

How to Use This Calculator

  1. Enter the starting latitude and longitude in decimal degrees.
  2. Enter the destination latitude and longitude in decimal degrees.
  3. Choose kilometers, miles, or nautical miles.
  4. Add magnetic declination when needed.
  5. Select decimal precision for the displayed values.
  6. Press Calculate Bearing.
  7. Review the result block above the form.
  8. Download the CSV or PDF file when you need a saved copy.

Example Data Table

Start Point Destination Point Start Coordinates Destination Coordinates Approx Initial Bearing Approx Distance
New York London 40.7128, -74.0060 51.5074, -0.1278 51.21° 5570 km
Los Angeles Tokyo 34.0522, -118.2437 35.6762, 139.6503 306.13° 8815 km
Sydney Auckland -33.8688, 151.2093 -36.8509, 174.7645 99.79° 2160 km

Understanding Coordinate Bearings

A bearing tells you the direction from one point to another. It is measured clockwise from true north. Zero degrees points north. Ninety degrees points east. One hundred eighty degrees points south. Two hundred seventy degrees points west. Coordinate bearings are useful in maps, surveying, sailing, aviation, hiking, and classroom geometry.

Why Bearings Matter

Latitude and longitude describe places on a curved earth. A straight line on a flat screen can mislead direction. This calculator uses spherical trigonometry, so the initial course follows a great circle path. That path is usually the shortest route between two points on the globe. The first bearing shows the direction at the starting point. The final bearing shows the direction as you arrive.

Practical Use Cases

A land surveyor can compare two markers. A drone planner can estimate an opening heading. A sailor can check a course before plotting charts. A student can test coordinate problems without doing every radian step manually. The distance, midpoint, back bearing, and compass point help explain the result in more than one way.

Accuracy Notes

The earth is not a perfect sphere. Real navigation can need ellipsoid models, local magnetic variation, terrain, wind, currents, and legal survey rules. Still, a spherical bearing is reliable for many educational and planning tasks. Enter decimal degrees carefully. Use negative values for south latitudes and west longitudes. Small input errors can change the bearing when points are close together.

Reading the Output

The initial bearing is the main answer. The back bearing is the opposite course from start to finish. Magnetic bearing adds the declination value that you enter. Rhumb bearing shows a constant compass course, which is different from a great circle route. The compass label converts degrees into common direction names, such as NE or SSW.

Good Workflow

Start with trusted coordinates. Choose the distance unit. Add magnetic declination only when you know it. Press calculate. Review the result block above the form. Save the CSV for spreadsheets. Use the PDF button for notes, reports, or field worksheets. Keep records of input values and chosen units. Repeat important checks with another source. This helps catch typing mistakes, swapped coordinates, and wrong signs before decisions are made safely.

FAQs

What is a bearing between two coordinates?

It is the direction from the first coordinate to the second coordinate, measured clockwise from true north in degrees.

What is the initial bearing?

The initial bearing is the direction you should face when starting the route from the first coordinate.

What is the final bearing?

The final bearing is the direction of travel as you arrive at the destination point along the great circle route.

What does back bearing mean?

Back bearing is the opposite direction of the initial bearing. It is usually the initial bearing plus 180 degrees.

Should I enter west longitude as negative?

Yes. Use negative longitude for west locations. Use negative latitude for south locations.

What is magnetic declination?

Magnetic declination is the angle between true north and magnetic north. Enter east values as positive and west values as negative.

Why is rhumb bearing different?

A rhumb bearing follows a constant compass direction. A great circle bearing follows the shortest spherical path.

Can I use this for legal surveying?

This tool is useful for learning and planning. Legal surveying may require local rules, ellipsoid models, and certified instruments.

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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.