In the last years the small satellites have played an important role in the technological development. The attractive short period of\r\ndesign and low cost of them and the capacity to solve problems that are usually considered as problems to big and expensive spacecrafts\r\nlead us to study the control problem of these satellites. Active three-axis magnetic attitude stabilization of a low Earth orbit\r\nsatellite is considered in this work. The control is created by interaction between the magnetic moment generated by magnetorquers\r\nmounted on the satellite body and the geomagnetic field. This problem is quite complex and difficult to solve. To overcome this difficulty\r\nguidance control is considered, where we use e-strategies introduced by Pontryagin in the frame of differential games theory.\r\nQualitative analysis and results of numerical simulation are presented.
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