Results are presented of model calculations on the surface current dis
tribution on thin superconducting oblate spheroids in low perpendicula
r magnetic fields. The total magnetic moment is practically independen
t of the thickness of the spheroid. The calculated moment agrees well
with the moment measured on thin superconducting discs. With the expec
tation of a similarity in the current distribution, the latter is calc
ulated for the simpler model. The results show that for spheroids, in
the region up to 99% of the major semiaxis R, the current density dist
ribution is practically independent of the thickness of the spheroid.
In the outer, 1% of R, region the current density becomes higher as th
e spheroid becomes thinner but in such a way that the moment contribut
ion, 21% of the total moment, is also practically independent of the t
hickness of the spheroid. The current density comes into play when lim
itations to critical values are considered.