Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.114..151c&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 114, no. 1, Sept. 1985, p. 151-156.
Astronomy and Astrophysics
Astrophysics
Binary Stars, Gravitational Fields, Gravitational Waves, Orbital Velocity, Angular Momentum, Angular Velocity, Spin Dynamics
Scientific paper
In any theory of gravitation that predicts the existence of gravitational waves, it is shown that, in the absence of mass exchange and mass loss, and subjected to a condition, a circular binary system with spherically symmetrical components cannot evolve in such a way that the spin angular velocity is always a linear function of the orbital velocity. Probably this relation between the angular velocities cannot be realized in any time interval. In particular, the system cannot remain in a synchronized state. Of eight special cases of evolution of this binary system, three cases, where the separation increases, are shown to be kinematically impossible, while a restriction on the variation of a parameter governing the evolution of the system can be made in another. In one of the kinematically allowed special cases the separation increases.
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