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).

Headwind = wind cos(angle); crosswind = wind sin(angle) 1

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.

Assumptions and limitations

Sign depends on the stated angle convention and the calculation does not include gust selection, runway variation, or magnetic-versus-true reference errors.

References

  1. Pilot's Handbook of Aeronautical Knowledge — Federal Aviation Administration

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