The velocity function of the liquid inside the ellipsoid λ = 0 due to the same angular velocity will be
φ1 = Rxy (a2 − b2) / (a2 + b2),
(7)
and on the surface outside
| φ0 = xyχ0 = xy | N | B0 − A0 | , | |
| abc | a2 − b2 |
(8)
so that the ratio of the exterior and interior value of φ at the surface is
| φ0 | = | B0 − A0 | , |
| φ1 | (a2 − b2) / (a2 + b2) − (B0 − A0) |
(9)
and this is the ratio of the effective angular inertia of the liquid, outside and inside the ellipsoid λ = 0.