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We have analyzed the double-lined eclipsing binary system OGLE-LMC-CEP-1812in the LMC and demonstrate that it contains a classical fundamental modeCepheid pulsating with a period of 1.31 days. The secondary star is a stablegiant. We derive the dynamical masses for both stars with an accuracy of 1.5%,making the Cepheid in this system the second classical Cepheid with a veryaccurate dynamical mass determination, following the OGLE-LMC-CEP-0227 systemstudied by Pietrzynski et al. (2010). The measured dynamical mass agrees verywell with that predicted by pulsation models. We also derive the radii of bothcomponents and accurate orbital parameters for the binary system. This new,very accurate dynamical mass for a classical Cepheid will greatly contribute tothe solution of the Cepheid mass discrepancy problem, and to our understandingof the structure and evolution of classical Cepheids.

The Araucaria Project. Accurate determination of the dynamical mass of the classical Cepheid in the eclipsing system OGLE-LMC-CEP-1812