The effect of magnetic field on solar inertial modes

The Sun's magnetic field is responsible for solar weather, such as coronal mass ejections and solar flares, which pose a great threat to our power grid and aircraft. Accurate predictions of solar weather could reduce the severity of the threat, but a complete understanding of the solar magnetic field is needed to accurately model these events.

Magnetic fields are known to shift the frequencies of stellar waves, thus helioseismology can provide insight into the Solar magnetic field. Many works have treated the solar magnetic field as a perturbative effect, and found the expected frequencies of sound waves within a magnetized solar envelope. Recent observations of solar inertial modes provide a new outlet for understanding the Sun's magnetic field. Here we investigate the effect of the solar magnetic field on inertial wave frequencies. We first utilize perturbative methods to calculate the expected frequency shift due to magnetic field. We then utilize a novel 2D eigenvalue solver to account for the full effect of the magnetic field and determine if the perturbative method is sufficient to capture the effects of the magnetic field on the inertial modes.