A position computing method computes a position of a receiver using a satellite navigation system. The method includes: bringing a satellite receiver in a dark region of the satellite system; bringing the receiver into a visible region of the satellite system outside the dark region; allocating to the dark region a darkness category chosen between at least two categories based on a dark region crossing time at which the receiver crosses between the dark region and the visible region; allocating a visibility class, chosen between at least two distinct classes, to the visibility region; and selecting one of first and second receiver position computing methods based on the class and the category allocated. The method further includes calculating a receiver position of the receiver by applying the selected computing method.