| c3 | dR | − (c1U + ξ − c2U) V = 0; |
| dt |
(16)
showing the modification of the equations of plane motion, due to the component ξ of the circulation.
The integral of (14) and (15) may be written
c1U + ξ = F cos θ, c2V = − F sin θ,
(17)
| dx | = U cos θ − V sin θ = | F cos2 θ | + | F sin2 θ | − | ξ | cos θ, |
| dt | c1 | c2 | c1 |
(18)
| dμ | = U sin θ + V cos θ = ( | F | − | F | ) sin θ cos θ − | ξ | sin θ, |
| dt | c1 | c2 | c1 |
(19)