Quasi-periodic oscillations (QPOs) at frequencies near 1000 Hz were recently
discovered in several x-ray binaries containing neutron stars. Two sources show
no correlation between QPO frequency and source count rate (Berger et al. 1996,
Zhang et al. 1996). We suggest that the QPO frequency is determined by the
Keplerian orbital frequency near the marginally stable orbit predicted by
general relativity in strong gravitational fields (Muchotrzeb-Czerny 1986,
Paczynski 1987, Kluzniak et al. 1990). The QPO frequencies observed from 4U
1636-536 imply that the mass of the neutron star is 2.02 +/- 0.12 solar masses.
Interpretation of the 4.1 keV absorption line observed from 4U 1636-536 (Waki
et al. 1984) as due to Fe XXV ions then implies a neutron star radius of 9.6
+/-0.6 km.Comment: 4 pages, uses aas2pp4.sty, submitted to ApJ