We again consider the problem of recovering the Earth's internal magnetic f
ield B knowing its intensity \\B\\ at the Earth's surface and the location
of the dip equator. In the present paper we focus on estimating the differe
nce between two solutions B obtained from imperfect data. We explicitly est
imate this difference and show that it converges to zero when the errors on
\\B\\ and on the location of the dig equator E both tend to zero.