On the dynamics and tidal dissipation rate of the white dwarf in 4U 1820-30

Astronomy and Astrophysics – Astronomy

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It has been suggested that the 170 day period in the light curve of the low mass x-ray binary (LMXB) 4U 1820-30 arises from the presence of a third body in the system with a large inclination to the binary orbit. We show that this long period motion naturally arises if the system is librating around the stable fixed point in a Kozai resonance. We demonstrate that mass transfer drives the system toward this fixed point, and calculate, both analytically and via numerical integrations, that the period of libration is of order 170 days when the mutual inclination is near the Kozai critical value. The non-zero eccentricity of the binary, combined with tidal dissipation, immediately implies that the rate of change of the binary period should be slower than, or even of opposite sign to, that implied by standard mass transfer models. number. If the 170 day period results from libration, then, contrary to appearances, the orbital period of the inner binary is increasing with time. We suggest that the observed negative period derivative results from the smaller than expected (but positive) value of the period derivative combined with the previously suggested acceleration of the system in the gravitational field of the host globular cluster NGC 6624.

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