úÎ-D,+     None4Computes the associated Legendre function of degree n and order mF. Note that the resulting function may not be a polynomial, as when m* is odd it involves a fractional power of xo. As used in the geodesy and magnetics literature, these functions do not include the Condon-Shortley phase. LComputes the Schmidt semi-normalized associated Legendre function of degree n and order mo. As used in the geodesy and magnetics literature, these functions do not include the Condon-Shortley phase. Degree n. of the desired associated Legendre function. Order m. of the desired associated Legendre function. Degree n of the desired function. Order m of the desired function. None- CRepresents a spherical harmonic model of a scalar-valued function. /The maximum degree of the model. Must be >= 0. /The reference radius used to define the model. ÔG and H coefficients of the model and their secular variations. These coefficients are stored in the order [(g_0_0, h_0_0), (g_1_0, h1_0_), 1_1, 2_0, 2_1, 2_2, 3_0, 3_1, 3_2, 3_3, ...] There must be Triangle( + 1) coefficients. /Adds two compatible spherical harmonic models. ,Linearly scales a spherical harmonic model. ]Computes the scalar value of the spherical harmonic model at a specified spherical position. ~Computes the gradient of the scalar value of the spherical harmonic model, in spherical coordinates, at a specified location. åComputes the gradient of the scalar value of the spherical harmonic model at a specified location, in Cartesian coordinates. The result is expressed in a reference frame locally tangent to the sphere at the specified location.  Spherical harmonic model Spherical radius Spherical colatitude (radian) Spherical longitude (radian)  Model value Spherical harmonic model Spherical radius Spherical colatitude (radian) Spherical longitude (radian) ?Radial, colatitudinal, and longitudinal components of gradient Spherical harmonic model Spherical radius Spherical colatitude (radian) Spherical longitude (radian) +East, North, and up components of gradient     None ;Represents a spherical harmonic model of a magnetic field. 3Field at model epoch in nT, reference radius in km 5Secular variation in nT / yr, reference radius in km eGets a spherical harmonic model of a magnetic field at a specified time offset from the model epoch. gThe International Geomagnetic Reference Field model, 11th edition. Model epoch is January 1st, 2010.  Magnetic field model Time since model epoch (year) bSpherical harmonic model of magnetic field at specified time. Field in nT, reference radius in km            igrf-0.2.0.0*Math.SphericalHarmonics.AssociatedLegendreMath.SphericalHarmonicsIGRFassociatedLegendreFunction/schmidtSemiNormalizedAssociatedLegendreFunctionSphericalHarmonicModel modelDegreereferenceRadius coefficientscombinescale evaluateModelevaluateModelGradient(evaluateModelGradientInLocalTangentPlane MagneticModel fieldAtEpochsecularVariation fieldAtTimeigrf11 rawFactor' computeIndextriangle