Pulsational mode and detection of gravitational wave source

Based on Chandrasekhar's and Lebovitz's treatment of the roto-vibrational modes of a homogeneous compressible neutron star, we calculate damping rates per unit eccentricity of toroidal mode and pulsational mode by gravitational radiation. It is found that the damping rate of the pulsational mode which becomes the quadrupole mode (emits gravitational wave) has a minimum at the eccentricity e = 0.72 for = 4/3, and 8/5 whereas both the pulsational mode with = 5/3 and the toroidal mode have no minima, i.e., the pseudo-radial mode can last many years longer than the toroidal mode. We suggest to measure the damping rate of pulsational mode only for the detection of a strong gravity wave source.Submitted for presentation in the 6th Asian Pacific Regional Meeting on Astronomy, I.A.U., to be held on 16–20 August 1993 at IUCAA, Pune, India.