φ = ½ Ux A,   ψ = − ½ Uy2 B;
B0 B0

(5)

so that in the relative motion past the body, as when fixed in the current U parallel to xO,

φ′ = ½Ux ( 1 + A),   ψ′ = ½Uy2 ( 1 − B).
B0 B0

(6)

Changing the origin from the centre to the focus of a prolate spheroid, then putting b2 = pa, λ = λ′a, and proceeding to the limit where a = ∞, we find for a paraboloid of revolution

B = ½ p,   B= p,
p + λ′ B0p + λ′

(7)

y2= p + λ′ − 2x,
p + λ′

(8)