The study of W UMa binary systems gives a wealth of information about their nature as well as their parent bodies(if any),like clusters.In this paper,we present the I passband photometric solutions of four W UMa binaries in the open cluster Berkeley 39 using the latest version of the W-D program.The result shows that two binary systems are W-subtype W UMa binary systems and the other two systems are H-subtype W UMa binary systems.No third body has been found in any of the four systems.We found a correlation between the period and mass-ratio as well as temperature and mass-ratio for the respective variables,which is similar to the relationship between mass ratio and total mass of the contact binaries as shown by van't Veer and Li et al.
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