(20)
with the notation
| A or Aλ = ∫∞λ | abc dλ |
| (a2 + λ) P |
| = −2abc | d | ∫∞λ | dλ | , |
| da2 | P |
(21)
so that in (4)
| φ = | M | xA = | UxA | , φ1 = | xAλ | , |
| abc | 1 − A0 | 1 − A0 |
(22)
in (1) for an ellipsoid.
The impulse required to set up the motion in liquid of density ρ is the resultant of an impulsive pressure ρφ over the surface S of the ellipsoid, and is therefore