Erratum to: An analytical solution for the swing-by problem

1 Erratum to: Celest Mech Dyn Astr (2015) 123(2) DOI 10.1007/s10569-015-9631-6

The expression for $\cos {i}$ at the beginning of Section 4 is incorrect; the correct formula is:

$$\begin{aligned} \cos {i}=\frac{1+U\cos \theta }{\sqrt{1+2U\cos \theta +U^2\left( 1-\sin ^2 \theta \sin ^2\phi \right) }}. \end{aligned}$$

At the end of the same section, after the formula for $\varOmega$, add the following sentence:

Note that in this case $\lambda _p$ is the longitude of the planet at time $t_b$.