Calculate wind correction angle, crosswind and headwind components, ground speed, and heading to fly from wind speed, direction, true airspeed, and course. The arcsine calculation is a correction to hold a desired track, not uncompensated drift.

Find the correction for a crosswind component.

Steady horizontal wind model for education. Enter wind FROM direction and course in the same true or magnetic reference. Verify weather, aircraft limits and operational planning independently.

Positive from right; negative from left.

Wind Correction Angle Formula

WCA = arcsin((CW) / (TAS))

Variables:

  • WCA is the signed wind correction angle (degrees or radians): positive corrects right, negative corrects left
  • CW is the signed crosswind component perpendicular to the desired track: positive from the right, negative from the left
  • TAS is the true airspeed (or aircraft speed through the air), in the same speed unit as CW

To calculate wind correction angle, divide the signed crosswind component by true airspeed and take the inverse sine. Both speeds must use the same unit and the crosswind magnitude cannot exceed airspeed. Convert radians to degrees by multiplying by 180/ฯ€. Use wind FROM direction and a consistent bearing reference. This is the principal wind-triangle correction described in the FAA Pilotโ€™s Handbook of Aeronautical Knowledge, chapter 16.

How to Calculate Wind Correction Angle?

Choose the quantity to solve in the calculator, then enter the displayed inputs. The following steps calculate the wind correction angle.

  1. First, determine the wind speed and direction and compute the crosswind component (perpendicular to the course/runway). 
  2. Next, determine the aircraft true airspeed (TAS) in the same speed unit as the crosswind component. 
  3. Next, use WCA = arcsin(CW / TAS), with the crosswind sign defined above.
  4. Finally, calculate the wind correction angle. In the full wind-triangle mode, verify that the model gives positive forward ground speed.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

crosswind component (knots) = 30

true airspeed (knots) = 120

For a 30-knot crosswind from the right, WCA = arcsin(30 / 120) โ‰ˆ +14.4775ยฐ. Correct to the right to hold the intended track.

Frequently Asked Questions (FAQ)

What is a drift angle in aviation?

Drift angle is the angle between the aircraft's heading and the actual track that the aircraft is making over the ground. It is caused by crosswinds pushing the aircraft sideways as it moves forward.

How does wind speed affect drift angle?

The higher the crosswind component, the greater the potential drift angle, assuming the aircraft's airspeed remains constant. Pilots must adjust their heading to compensate for this drift to maintain their intended course.

Can the drift angle be negative?

Signed drift depends on the convention. Here, WCA is positive for a right correction and negative for a left correction. When the intended track is held, signed drift defined as track minus heading is the negative of WCA.

Why is calculating drift angle important?

Calculating and compensating for drift angle is crucial for navigation and safety in aviation. It ensures that an aircraft reaches its intended destination efficiently without being pushed off course by wind. It is also vital for accurate flight planning and fuel calculations.