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An orbital solution to the MACHO05:34:41.3 -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 and O6:V respectively. The radial velocity data alongwith the published light curve were analysed with the Wilson-Devinney code to derive the following masses and radii for the components of this system: M1 = 41 ± 1.2, R1 = 9.6 ± 0.02, M2 = 27 ± 1.2 and R2 = 8.0 ± 0.05, in solar units. The solution shows that the system is in over-contact as one would expect from the derived masses and the very short orbital period (~1.4 days).

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