An orbital solution for the MACHO ^ { \ast } 05:34:41.3 -69:31:39 eclipsing binary system is presented , based on the published light curve and spectral data obtained with the 2.15-m telescope at CASLEO .
Based on these spectroscopic observations , this system ’ s binary components were classified as O3 If ^ { \ast } and O6 : V respectively .
The radial velocity data along with the published light curve were analysed with the Wilson-Devinney code to derive the following masses and radii for the components of this system : M _ { 1 } = 41 \pm 1.2 { M } _ { \sun } , R _ { 1 } = 9.6 \pm 0.02 { R } _ { \sun } , M _ { 2 } = 27 \pm 1.2 { M } _ { \sun } and R _ { 2 } = 8.0 \pm 0.05 { R } _ { \sun } .
The solution shows that the system is in overcontact as one would expect from the derived masses and the very short orbital period ( \sim 1.4 days ) .