The hydrodynamical equations with moving axes, taking into account the mutual gravitation of the liquid, become
| 1 | dp | + 4πρAx + | du | − vR + wQ + u′ | du | + v′ | du | + w′ | du | = 0, ... , ... , | |
| ρ | dx | dt | dx | dy | dz |
(9)
where
| A, B, C = ∫∞0 | abcdλ |
| (a2 + λ, b2 + λ, c2 + λ) P |
P2 = 4 (a2 + λ) (b2 + λ) (c2 + λ).
(10)
With the values above of u, v, w, u′, v′, w′, the equations become of the form
| 1 | dp | + 4πρ Ax + αx + hy + gz = 0, | |
| ρ | dx |
(11)