Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-11-30
J.Phys.A33:513-530,2000
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 pages, 5 figures. To appear in Journal of Physics A
Scientific paper
10.1088/0305-4470/33/3/307
The general phenomena associated with sustained resonance are studied in this paper in connection with relativistic binary pulsars. We represent such a system by two point masses in a Keplerian binary system that evolves via gravitational radiation damping as well as an external tidal perturbation. For further simplification, we assume that the external tidal perturbation is caused by a normally incident circularly polarized monochromatic gravitational wave. In this case, the second-order partially averaged equations are studied and a theorem of C. Robinson is employed to prove that for certain values of the physical parameters resonance capture followed by sustained resonance is possible in the averaged system. We conjecture that sustained resonance can occur in the physical system when the perturbing influences nearly balance each other.
Chicone Carmen
Mashhoon Bahram
Retzloff D. G.
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