Azimut Cálculo Calculator
Enter two geographic points to calculate true azimuth, magnetic azimuth, back azimuth, and great-circle distance.
θ = atan2( sin(Δλ)·cos(φ2), cos(φ1)·sin(φ2) − sin(φ1)·cos(φ2)·cos(Δλ) )
Azimuth = (θ in degrees + 360) mod 360
What Is Azimuth?
Azimuth is the horizontal direction from one point to another, measured clockwise from geographic north. In practical terms, an azimuth tells you exactly where to look or move. If your azimuth is 90°, the direction is east. If it is 180°, the direction is south. This is a core concept in navigation, surveying, topography, astronomy, and GIS mapping.
The phrase azimut cálculo is often used in Spanish-speaking contexts to describe the process of computing this direction. Whether you are planning a hiking route, setting up a satellite dish, or running a professional land survey, azimuth calculations help you convert coordinates into an actionable heading.
How This Azimuth Calculator Works
This tool computes the initial great-circle bearing between two latitude/longitude points on Earth. Because the Earth is curved, the shortest path is not a straight line on most flat maps. Instead, we calculate the first heading along the great-circle route.
Inputs
- Point A: starting latitude and longitude
- Point B: destination latitude and longitude
- Magnetic declination (optional): adjustment between true north and magnetic north
Outputs
- True azimuth: angle from true north
- Magnetic azimuth: true azimuth corrected by declination
- Back azimuth: opposite direction (return heading)
- Distance: great-circle distance in kilometers and miles
- Cardinal reference: rough compass direction (N, NE, E, etc.)
True Azimuth vs Magnetic Azimuth
Many people confuse true north and magnetic north. True north points to the geographic North Pole, while magnetic north points to where Earth’s magnetic field converges in the Northern Hemisphere. The difference between them at your location is called declination.
In this calculator, declination is entered as:
- East declination: positive value (example: +3.2°)
- West declination: negative value (example: -6.7°)
Magnetic azimuth is computed as: Magnetic = True - Declination. This convention is common in geodesy and mapping workflows.
Step-by-Step Manual Method (Quick Version)
1) Convert degrees to radians
Trigonometric functions use radians. Convert latitudes and longitudes before applying formulas.
2) Compute longitudinal difference
Calculate Δλ = λ2 - λ1, where λ is longitude in radians.
3) Apply the bearing formula
Use the two-argument arctangent (atan2) to avoid quadrant errors and preserve the correct heading direction.
4) Normalize to 0° to 360°
If the result is negative, add 360° until it fits the full compass range.
5) (Optional) Apply declination
Convert true azimuth to magnetic azimuth if your field instrument is aligned to magnetic north.
Common Mistakes in Azimuth Calculation
- Entering latitude and longitude in the wrong fields.
- Using longitude signs incorrectly (west should be negative in decimal format).
- Forgetting to convert degrees to radians in manual calculations.
- Mixing true and magnetic bearings without declination correction.
- Assuming a flat-earth formula for long-distance routes.
Practical Use Cases
Surveying and Construction
Surveyors use azimuths to define parcel boundaries and to align structures with legal and engineering precision. A small angular error can produce large positional offsets over long baselines.
Outdoor Navigation
Hikers and mountaineers combine map bearings with compass readings. Knowing both true and magnetic azimuths is essential when working in areas where declination is significant.
Drone and Robotics Planning
Autonomous path planning frequently uses bearing and distance calculations to orient sensors, steer waypoints, and optimize trajectories.
Telecommunications and Satellite Pointing
Antenna installers rely on azimuth values to point dishes and directional radios correctly. Small direction changes can strongly affect signal quality.
FAQ
Is this azimuth the same as a compass bearing?
It is the same concept, but this calculator outputs true azimuth by default. Compass readings are usually magnetic unless corrected.
Can I use UTM coordinates?
This tool expects latitude/longitude in decimal degrees. For UTM, convert to geographic coordinates first.
Why does direction change along a long route?
On a sphere, the initial bearing can change as you move. The calculator provides the initial azimuth from your starting point.
Final Thoughts
If you need reliable directional calculations, azimuth is one of the most useful metrics to understand. This page gives you both a practical calculator and the conceptual foundation to apply results correctly in the field. Use precise coordinates, confirm your declination, and always distinguish true north from magnetic north when accuracy matters.