Use of Roche coordinates in the problems of small oscillations of tidally-distorted stellar models. II - Effect of second order terms in tidal distortion

Details Use of Roche coordinates in the problems of small oscillations of tidally-distorted stellar models. II - Effect of second order terms in tidal distortion Use of Roche coordinates in the problems of small oscillations of tidally-distorted stellar models. II - Effect of second order terms in tidal distortion

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..60..423m&link_type=abstract

Astrophysics and Space Science, vol. 60, no. 2, Feb. 1979, p. 423-430.

Astronomy and Astrophysics

Astrophysics

3

Stellar Models, Tides, Distortion, Dynamic Models, Gravitational Effects, Oscillations, Roche Limit

Scientific paper

Kopal's method of Roche coordinates used by us in an earlier paper (Mohan and Singh, 1978) to study the problems of small oscillations of tidally-distorted stars has been extended further to take into account the effect of second-order terms in tidal distortion. Our results show that the effect of including terms of second order of smallness in tidal distortion in the metric coefficients of the Roche coordinates of tidally distorted stars is quite significant, especially in case of stars with extended envelopes and (or) larger values of the mass ratio of the companion star producing tidal distortion. Some of the models which were earlier found stable against small perturbations now become dynamically unstable with the inclusion of the terms of second order of smallness in tidal effects

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