  The accuracy of the numerical findings of Lukes-Gerakopoulos PRD 86, 044013
(2012), regarding the existence of additional first integrals in the
Zipoy-Voorhees space-time, was recently questioned by Maciejewski et al. PRD
88, 064003 (2013). In this comment, it is shown that the discrepancy between
the results of Lukes-Gerakopoulos (2012) and Maciejewski et al. (2013) is not
due to issues related to numerical accuracy, as claimed in Maciejewski et al
(2013), but due to different choice of coordinates used in Maciejewski et
al.(2013).
