“…Superscripts disturbance torque, N • m time, s argument of latitude in circular orbit, rad angle between °B(t) X °B(t) and Z 0 , rad angle between z s and Z 0 , rad rotation angle between F E frame and F h rad second Euler angle, rad coelevation angle of dipole direction in F E , rad attitude correction torque, N • m first Euler angle, rad east longitude angle of dipole direction in F E , rad third Euler angle, rad orbital rotation rate, rad/s angular velocity of F 2 with respect to F 0 , rad/s satellite angular velocity vector, rad/s desired angular velocity, parameter of the control, rad/s vector components expressed in F E frame vector components expressed in F t frame vector components expressed in F s frame vector components expressed in F 0 frame vector components expressed in F\ frame vector components expressed in F 2 frame I. Introduction S INCE the successful operation of the magnetic controllers of the early space programs [1], the magnetic attitude control strategy has turned into an attractive alternative for the attitude control of those small satellites with not-too-demanding orientation requirements [2][3][4]. This strategy significantly saves overall power, weight, cost, and complexity of the system compared to other attitude control strategies, thanks to not having any propellant or moving parts.…”