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We propose a new method for determining total masses of low frequencyeccentric binaries (such as, neutron star binaries with orbital frequency$f\gsim 10^{-3}$Hz) from their gravitational waves.  In this method we use the frequency shift caused by periastron advance, andit works even at low frequency band where chirp signal due to radiationreaction is difficult to be measured. It is shown that the total masses ofseveral Galactic neutron star binaries might be measured accurately (within afew percent error) by LISA with operation period of $\sim 10$ years.Comment: 5 pages, 1 figure, minor changes, Phys.Rev.Lett in pres

Proposal for Determining the Total Masses of Eccentric Binaries Using Signature of Periastron Advance in Gravitational Waves