Orbital perturbations of a gravitationally bound two-body system with the passage of gravitational waves

Details Orbital perturbations of a gravitationally bound two-body system with the passage of gravitational waves Orbital perturbations of a gravitationally bound two-body system with the passage of gravitational waves

Mar 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...254..735n&link_type=abstract

Astrophysical Journal, Part 1, vol. 254, Mar. 15, 1982, p. 735-747. Research supported by the Natural Sciences and Engineering

Other

5

Binary Stars, Equations Of Motion, Gravitational Waves, Orbit Perturbation, Stellar Gravitation, Angular Momentum, Numerical Integration, Plane Waves, Secular Variations, Two Body Problem, Wave Propagation

Scientific paper

The perturbed orbital equations governing the behavior of a nonrelativistic, elliptical, self-gravitating binary system with the impinging of weak, monochromatic gravitational plane waves are studied with solutions for the radial deviation expressed in terms of the observable, 'coordinate' angle phi. Explicit expressions for the components of the perturbing force in terms of the Eulerian angles are also presented in the case of oblique incidence. Complete analytical solutions, however, are obtained only for (a) normal incidence and small eccentricity and (b) the z-component of a circular orbit at oblique incidence, and are compared with those of other authors. In particular, the nature of the occurrence of secular variations for nonintegral values of the ratio of the frequency of the wave to the orbital frequency of the unperturbed system is discussed. Extensive numerical analysis has been carried out for different states of polarization as well as various values of the eccentricity and wave frequency, and representative results are presented.

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