Calculates \(X_1\), a parameter for the Willoughby wind model using equation 10a (Willoughby et al. 2006).
will10a(vmax_gl, tclat)Numeric vector of the tangential wind component of the maximum gradient wind speed, in meters per second
Numeric vector of the absolute value of latitude, in degrees.
A numeric vector giving one of the parameters (\(X_1\)) required for the Willoughby wind model.
This function uses the following equation (equation 10a, Willoughby et al. 2006) to calculate the \(X_1\) parameter: $$X_1 = 317.1 - 2.026V_{max,G} + 1.915 \phi$$ where:
\(X_1\): Parameter for the Willoughby wind model
\(V_{max,G}\): Maximum gradient-level 1-min sustained wind (m / s)
\(\phi\): Latitude, in decimal degrees
Willoughby HE, Darling RWR, and Rahn ME. 2006. Parametric representation of the primary hurricane vortex. Part II: A new family of sectionally continuous profiles. Monthly Weather Review 134(4):1102-1120.