We present a freely available xspec model for the modulations seen in the long-term light curves of multiple ultraluminous X-ray sources ( ULXs ) .
By incorporating the physics of multiple electron scatterings ( ray traced with a Monte-Carlo routine ) , we go beyond analytical predictions and show that the geometrical beaming of radiation in the conical outflow can be more than a factor of 100 for opening angles smaller than 10 ^ { \circ } .
We apply our new model to the long-term , well sampled Swift light curve of the recently confirmed ULX pulsar NGC 5907 X-1 with an established period of 78 days .
Our results suggest that geometrical beaming together with a slight precession of the conical wind can describe the light curve with a consistent set of parameters for the wind .
The small opening angle of roughly 10 \mathrm { - } 13 ^ { \circ } implies a highly super-critical flow and boosting factors at the order of \mathcal { B } = 60 – 90 that would yield a fairly low surface magnetic field strength of 2 \times 10 ^ { 10 } Gauss .