Erratum to: Astrophys Space Sci (2015) 357:15 DOI 10.1007/s10509-015-2308-5

There is an error in Eq. (1) in the original publication. The symbol f should have been in the denominators of both second terms in the first part of that equation. The whole correct equation is shown below.

$$\begin{aligned} \frac{d^{2}\xi}{df^{2}} - 2\frac{d\eta}{df} =& ( 1 + e\cos f )^{ - 1} \frac{\partial U}{\partial \xi}, \\ \frac{d^{2}\eta}{df^{2}} + 2\frac{d\xi}{df} =& ( 1 + e\cos f )^{ - 1} \frac{\partial U}{\partial \eta} \end{aligned}$$

where

$$\begin{aligned} U =& \frac{1}{2} \bigl[ (1 - \mu )r_{1}^{2} + \mu r_{2}^{2} \bigr] +\frac{1}{n^{2}} \biggl[ \frac{(1 - \mu )}{r_{1}} + \frac{A_{1}(1 - \mu)}{2r_{1}^{3}} \\ & {} + \frac{(1 - \mu )(2\sigma_{1} - \sigma_{2})}{2r_{1}^{3}} + \frac{\mu}{r_{2}} + \frac{A_{2}\mu}{2r_{2}^{3}} + \frac{\mu (2\gamma_{1} - \gamma_{2})}{2r_{2}^{3}} \biggr] \end{aligned}$$
(1)