simulate and plot earths magnetic field in matlab

To simulate and plot Earth's magnetic field in MATLAB, you can use the International Geomagnetic Reference Field (IGRF) model. The IGRF model calculates the magnetic field strength and direction at any point on Earth's surface based on the planet's core and geophysical activity.

Here's an example MATLAB code to simulate and plot Earth's magnetic field as a vector field:

main.m
% Define the grid for plotting the vector field
[x, y, z] = meshgrid(-1e7:2e6:1e7, -1e7:2e6:1e7, 0);

% Load the IGRF coefficients for the current year (2021)
[gh, lambda, phi] = igrfcoeffs(2021);

% Calculate the magnetic field vector components on the grid
[Bx, By, Bz] = igrfxyz(gh, lambda, phi, altitudegeodetic(z, phi, 'wgs84'), deg2rad(phi), deg2rad(lambda), decyear(now));

% Plot the vector field
quiver3(x, y, z, Bx, By, Bz, 'b');
axis equal;
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This code defines a grid with meshgrid to plot the vector field, loads the IGRF coefficients for the current year with igrfcoeffs, calculates the magnetic field vector components on the grid with igrfxyz, and finally plots the vector field with quiver3. The resulting plot displays Earth's magnetic field as a blue vector field.