Classes for the gravity and magnetic field tensors and eigenvalues.
Subclasses
| Subclass name | Description |
|---|---|
| SHGravTensor | Subclass for the gravity field tensor. |
| SHMagTensor | Subclass for the magnetic field tensor. |
Initialization
| Initialization method | Description |
|---|---|
x = SHGravCoeffs.tensor() |
Initialize using an SHGravCoeffs class instance. |
x = SHMagCoeffs.tensor() |
Initialize using an SHMagCoeffs class instance. |
Class attributes
| Attribute | Description |
|---|---|
vxx, vxy, vxz, vyx, vyy, vyz, vzx, vzy, vzz |
The nine component of the tensor. |
i0, i1, i2 |
First, second and third invariants of the tensor. |
i |
Derived quantity from i1 and i2 that is bounded between 0 and 1. |
gm |
Gravitational constant time the mass of the body (gravity tensor only). |
a |
Semimajor axis of the reference ellipsoid. |
f |
Flattening of the reference ellipsoid, f = (a - b) / a. |
lmax |
The maximum spherical harmonic degree resolvable by the grids. |
lmax_calc |
The maximum spherical harmonic degree of the potential used in creating the grids. |
units |
The units of the gridded data. |
nlat, nlon |
The number of latitude and longitude bands in the grids. |
sampling |
The longitudinal sampling scheme of the grids: either 1 for nlon = nlat or 2 for nlon = 2 * nlat. |
epoch |
The epoch time for gravity models. |
year |
The year of the time-variable magnetic field data. |
Class methods
| Method | Description |
|---|---|
plot() |
Plot all 9 components of the tensor. |
plot_vxx() |
Plot the Vxx component of the tensor. |
plot_vxy() |
Plot the Vxy component of the tensor. |
plot_vxz() |
Plot the Vxz component of the tensor. |
plot_vyx() |
Plot the Vyx component of the tensor. |
plot_vyy() |
Plot the Vyy component of the tensor. |
plot_vyz() |
Plot the Vyz component of the tensor. |
plot_vzx() |
Plot the Vzx component of the tensor. |
plot_vzy() |
Plot the Vzy component of the tensor. |
plot_vzz() |
Plot the Vzz component of the tensor. |
compute_invar() |
Compute the invariants of the tensor. |
plot_i0() |
Plot the first invariant I0 of the tensor. |
plot_i1() |
Plot the second invariant I1 of the tensor. |
plot_i2() |
Plot the third invariant I2 of the tensor. |
plot_i() |
Plot the derived quantity -(I2/2)**2 / (I1/3)**3. |
compute_eig() |
Compute the three eigenvalues of the tensor. |
plot_eig() |
Plot the three eigenvalues of the tensor. |
plot_eig1() |
Plot the first eigenvalue of the tensor. |
plot_eig2() |
Plot the second eigenvalue of the tensor. |
plot_eig3() |
Plot the third eigenvalue of the tensor. |
compute_eigh() |
Compute the horizontal eigenvalues of the tensor. |
plot_eigh() |
Plot the two horizontal eigenvalues and the combined maximum absolute eigenvalue of the tensor. |
plot_eigh1() |
Plot the first horizontal eigenvalue of the tensor. |
plot_eigh2() |
Plot the second horizontal eigenvalue of the tensor. |
plot_eighh() |
Plot the combined maximum absolute eigenvalue of the tensor. |
to_xarray() |
Return an xarray DataSet of all gridded data. |
copy() |
Return a copy of the class instance. |
info() |
Print a summary of the data stored in the class instance. |