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We present a new homogeneous sample of 32 spectroscopic binary orbits in theyoung (~ 150 Myr) main-sequence open cluster M35. The distribution of orbitaleccentricity vs. orbital period (e-log(P)) displays a distinct transition fromeccentric to circular orbits at an orbital period of ~ 10 days. The transitionis due to tidal circularization of the closest binaries. The population ofbinary orbits in M35 provide a significantly improved constraint on the rate oftidal circularization at an age of 150 Myr. We propose a new and more robustdiagnostic of the degree of tidal circularization in a binary population basedon a functional fit to the e-log(P) distribution. We call this new measure thetidal circularization period. The tidal circularization period of a binarypopulation represents the orbital period at which a binary orbit with the mostfrequent initial orbital eccentricity circularizes (defined as e = 0.01) at theage of the population. We determine the tidal circularizationperiod for M35 aswell as for 7 additional binary populations spanning ages from the premain-sequence (~ 3 Myr) to late main-sequence (~ 10 Gyr), and use Monte Carloerror analysis to determine the uncertainties on the derived circularizationperiods. We conclude that current theories of tidal circularization cannotaccount for the distribution of tidal circularization periods with populationage.Comment: 37 pages, 9 figures, to be published in The Astrophysical Journal,  February 200

A Robust Measure of Tidal Circularization in Coeval Binary Populations: The Solar‐Type Spectroscopic Binary Population in the Open Cluster M35