We consider the dependence of the internal structure of a neutron star
in a close binary system on the semi-major axis of the binary orbit,
focusing on the case when the Roche lobes of the components are nearly
filled. We adopt a polytropic equation of state. The temporal evoluti
on of the semi-major axis and its dependence on the mass ratio of the
binary components and the polytropic index n are determined. The calcu
lations are carried out right up to the moment of contact, when the qu
asi-stationary model becomes invalid. We analyze differences in the sh
apes of the pulses of gravitational radiation emitted by a pair of poi
nt masses and by a binary neutron star, taking into account its intern
al structure and tidal deformations.