Determine the three components of the magnetic field vector at a single point.

Usage

`value` = MakeMagGridPoint (`cilm`, `a`, `r`, `lat`, `lon`, [`lmax`, `dealloc`])

Returns

value : float, dimension (3)
Vector components (r, theta, phi) of the magnetic field at (r, lat, lon).

Parameters

cilm : float, dimension (2, lmaxin+1, lmaxin+1)
The real Schmidt semi-normalized spherical harmonic coefficients of the magnetic potential. The coefficients C0lm and C1lm refer to the cosine (Clm) and sine (Slm) coefficients, respectively, with Clm=cilm[0,1,m] and Slm=cilm[1,l,m].
a: float
The reference radius of the spherical harmonic coefficients.
r: float
The radius to evaluate the magnetic field.
lat : float
The latitude of the point in degrees.
lon : float
The longitude of the point in degrees.
lmax : optional, integer, default = lmaxin
The maximum spherical harmonic degree used in evaluating the function.
dealloc : optional, integer, default = 0
0 (default) = Save variables used in the external Legendre function calls. (1) Deallocate this memory at the end of the funcion call.

Description

MakeMagGridPoint will compute the three components of the magnetic field vector at a single point. The input latitude and longitude are in degrees, and the output components are in spherical coordinates (r, theta, phi). The magnetic potential is given by

V = a Sum_{l=0}^lmax (a/r)^(l+1) Sum_{m=-l}^l C_{lm} Y_{lm},

and the vector magnetic field is

B = - Grad V.

The coefficients are referenced to a radius a, and the output values have the same units as the input spherical harmonic coefficients.

Tags: python
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