Wind Decomposition Calculator
Decompose a wind relative to the course into headwind and crosswind components using headwindComponentKt = windSpeedKt * cos(angle) and crosswindComponentKt = windSpeedKt * sin(angle).
Description
Decompose a wind relative to the course into headwind and crosswind components using headwindComponentKt = windSpeedKt * cos(angle) and crosswindComponentKt = windSpeedKt * sin(angle).
Wind Decomposition Calculator provides a focused, reproducible calculation with explicit inputs and a deterministic result. Decompose a wind relative to the course into headwind and crosswind components using headwindComponentKt = windSpeedKt * cos(angle) and crosswindComponentKt = windSpeedKt * sin(angle).
Use to resolve a wind vector relative to a course or runway, with zero degrees defined as direct headwind.
When to use Wind Decomposition Calculator
Use to resolve a wind vector relative to a course or runway, with zero degrees defined as direct headwind.1
How the calculation works
Decompose a wind relative to the course into headwind and crosswind components using headwindComponentKt = windSpeedKt * cos(angle) and crosswindComponentKt = windSpeedKt * sin(angle).2
Headwind = wind cos(angle); crosswind = wind sin(angle) Inputs and interpretation
Keep every input on the same valuation, timing, unit, and assumption basis. Interpret the output at the precision supported by those inputs rather than treating extra decimal places as additional certainty.
Limitations and assumptions
Sign depends on the stated angle convention and the calculation does not include gust selection, runway variation, or magnetic-versus-true reference errors.
References
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Pilot's Handbook of Aeronautical Knowledge — Federal Aviation Administration
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Wind triangle — Wikipedia contributors
Similar or alternative tools
- Runway Wind Components
Resolve a reported wind onto a specific runway using theta = windFromDeg - runwayHeadingDeg, headwindComponentKt = windSpeedKt * cos(theta) and crosswindComponentKt = windSpeedKt * sin(theta).
- Wind Direction from Components Calculator
Recover the relative wind direction from headwind and crosswind components.
- Crosswind Component Calculator
Compute the magnitude of the crosswind component of a wind at an angle to the runway or course.