Compass Direction Between Coordinates Calculator

Example Data Table

Formula Used

Convert every latitude and longitude from degrees to radians.

Δλ = longitude2 − longitude1

y = sin(Δλ) × cos(latitude2)

x = cos(latitude1) × sin(latitude2) − sin(latitude1) × cos(latitude2) × cos(Δλ)

Initial bearing = atan2(y, x)

Normalized bearing = (bearing + 360) mod 360

Magnetic bearing = true bearing − magnetic declination

Haversine distance uses: a = sin²(Δφ / 2) + cos(φ1) × cos(φ2) × sin²(Δλ / 2)

Distance = earth radius × 2 × atan2(√a, √(1 − a))

How to Use This Calculator

Enter the starting latitude and longitude in decimal degrees.

Enter the ending latitude and longitude in decimal degrees.

Choose a distance unit for the route distance.

Select a compass scale. More points give finer labels.

Enter magnetic declination if you need magnetic direction.

Press the calculate button. The result appears above the form.

Use CSV export for spreadsheet records. Use PDF export for reports.

Compass Direction Between Coordinates

A compass direction calculator turns two latitude and longitude pairs into a clear travel direction. It is useful for maps, routes, surveying notes, hiking plans, drone paths, and classroom geometry. The tool finds the initial bearing from the first point to the second point. It also reports a compass label, such as NE or SSW, so the angle is easier to read.

Why Bearing Matters

Latitude measures position north or south of the equator. Longitude measures position east or west of Greenwich. These lines sit on a round Earth, not a flat sheet. A straight line on a simple map can give a rough idea, but a bearing formula gives a better direction on the globe. This matters when the points are far apart. It also helps when routes cross different longitudes.

What The Calculator Shows

The calculator gives true bearing in degrees. It can also show magnetic bearing when you enter local declination. Positive declination means east. Negative declination means west. Distance is computed with the haversine method. You can choose kilometers, miles, nautical miles, or meters. The midpoint is also shown. This helps you check the route center.

Accuracy And Use

The formula uses a spherical Earth model. That is accurate enough for many planning and learning tasks. Very precise geodesy may need an ellipsoid model. Survey grade jobs should use local rules, calibrated equipment, and professional checks. Still, this calculator is strong for quick direction work. It keeps each input visible. It also lets you export results for records.

Practical Tips

Use decimal degrees for every coordinate. North and east are positive. South and west are negative. Check that latitude stays between -90 and 90. Check that longitude stays between -180 and 180. Use more compass divisions when you want detailed labels. A 32 point scale gives finer direction names. Use fewer divisions for simple route notes.

Exporting Results

CSV export is best for spreadsheets and repeat checks. PDF export is useful for sharing a clean route summary. Save the inputs with the results. This helps you trace every bearing later. When coordinates come from a phone, round them carefully. Small rounding changes can shift short route bearings. Use trusted coordinate sources online.

FAQs

What is a compass direction between coordinates?

It is the direction from one latitude and longitude point to another. The calculator converts the bearing angle into a readable compass label.

What is initial bearing?

Initial bearing is the starting angle you follow when leaving the first coordinate toward the second coordinate.

Why is final bearing different?

Earth is curved, so the travel angle can change along the route. Final bearing shows the direction as you arrive.

Can I use negative latitude and longitude?

Yes. South latitudes are negative. West longitudes are negative. North and east values are positive.

What does magnetic declination mean?

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

Which compass scale should I choose?

Use 4 or 8 points for simple directions. Use 16 or 32 points when you need more detailed compass labels.

Is this calculator accurate for surveying?

It is useful for planning and learning. Professional surveys may need ellipsoid models, local grid systems, and certified instruments.

Why does the calculator show distance?

Distance helps you understand the route size. It also confirms that the two coordinates are not the same point.