  The Nuclear Spectroscopic Array (NuSTAR) observed the gamma-ray binary LS
5039 for a second time in order to check for the presence of a periodic signal
candidate found in the data from the previous NuSTAR observation. We do not
detect the candidate signal in the vicinity of its previously reported
frequency, assuming the same orbital ephemeris as in our previous paper. This
implies that the previously reported periodic signal candidate was a noise
fluctuation. We also perform a comparison of the lightcurves from the two
NuSTAR observations and the joint spectral fitting. Our spectral analysis
confirms the phase-dependence found from a single NuSTAR observation at a
higher significance level.
