Calculation of gravitational radiation during binary spiralling-in lea
ding to the possible formation of a Thorne-Zytkow (TZ) object (a neutr
on star inside a supergiant core) is performed. The calculations were
done for polytropic density distributions with different indices n, as
well as for realistic models of supergiants. A maximum frequency of t
he emitted gravitational waves during this process was found to range
from a few to 300 initial keplerian orbital frequencies, that is from
10(-5) to similar to 0.1 Hz, depending on the model. The dimensionless
strain metric amplitude can reach h similar to 10-(23.5) for a source
lying 10 kpc away from the Sun. We conclude that TZ objects forming a
t a rate of 1 per 500 yrs in the Galaxy could be potential astrophysic
al targets for space laser intereferometers. Analysis of gravitational
waveforms emitted during TZ-object formation could bring a unique inf
ormation about stellar structure.