CL_sphHarmGrad

Description

• Computes the gradient of the expression:

  

• Notes:

  - maxnm has the form [nmax,mmax]. A value of -1 for nmax or mmax means "all available znm coefficients are used".

Parameters

pos :

[x;y;z] Position vector in cartesian coordinates [m] (3xN)

a :

Reference radius (1x1 or 1xN)

f :

Multiplying coefficient (1x1 or 1xN)

znm :

Complex harmonics: znm(n+1, m+1) = Cnm + %i * Snm (PxQ)

maxnm :

(integer, optional) Maximum degree/order to consider: [nmax,mmax] (1x2). Default is [-1,-1].

inc00 :

(boolean, optional) True if harmonic coefficient z00 is included, false otherwise. Default is true.

gr :

Gradient (3xN)

Authors

• CNES - DCT/SB (AL)

Bibliography

• 1) On the computation of the spherical harmonic terms ... Leland R. Cunningham

See also

• CL_sphHarmVal

Examples

pos = [[7000.e3; 0; 0], [0; 7000.e3; 0], [0; 0; 7000.e3]]; er = CL_dataGet("eqRad"); mu = CL_dataGet("mu"); j1jn = CL_dataGet("j1jn"); znm = [1; 0; -j1jn(2)]; CL_sphHarmGrad(pos, er, mu, znm)