This is a pre-copyedited, author-produced PDF of an article accepted for publication in Monthly Notices of the Royal Astronomical Society following peer review. The version of record Markakis, C. (2014). "Constants of motion in stationary axisymmetric gravitational fields." Monthly Notices of the Royal Astronomical Society 441(4): 2974-2985. is available online at: https://doi.org/10.1093/mnras/stu71513 pages, matches published versionThis work was supported in part by the Greek State Scholarships Foundation, by National Science Foundation Grant PHY1001515 and by German Research Foundation grant SFB/Transregio 7 ‘Gravitational Wave Astronomy
