Techniques are disclosed for systems and methods to provide automatic and substantially continuous calibration for compasses mounted to moving structures. A compass calibration system may include a logic device configured to receive one or more sensor signals and determine a corrected magnetic field based, at least in part, on a measured local magnetic field. The logic device may be adapted to receive an angular velocity, an acceleration, the measured local magnetic field, and/or a speed of a mobile structure; generate stabilized roll and pitch components of an orientation of the mobile structure based, at least in part, on the acceleration and angular velocity; and determine the corrected magnetic field based, at least in part, on the speed, the local magnetic field, the stabilized roll and pitch components, and/or the angular velocity.