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In this work, we consider the physics of the interaction between a planet anda magnetized gaseous protoplanetary disc. We investigate the migration of aplanet in a disc that is threaded with an azimuthal magnetic field. We findthat, for a larger magnetic field amplitude, there is an increasingly largepositive torque on the planet from the disc, resulting in slowed and evenoutward migration. Our results indicate that magnetic resonances due to apurely azimuthal, ordered magnetic field can slow or stop the inward migrationof Jupiter-mass, Saturn-mass, and $5 M_{\oplus}$ planets.

The effect of an ordered azimuthal magnetic field on a migrating planet in a non-turbulent disc