On formation of close binaries by two-body tidal capture

Details On formation of close binaries by two-body tidal capture On formation of close binaries by two-body tidal capture

Apr 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977apj...213..183p&link_type=abstract

Astrophysical Journal, Part 1, vol. 213, Apr. 1, 1977, p. 183-192.

Astronomy and Astrophysics

Astrophysics

249

Astrophysics, Binary Stars, Stellar Models, Stellar Motions, Dimensionless Numbers, Spherical Harmonics, Stellar Envelopes, Tides, X Ray Sources

Scientific paper

We calculate in detail the two-body tidal capture mechanism of Fabian, Pringle, and Rees: when two unbound stars have a close encounter, they may become bound by the energy that each deposits into nonradial oscillations of the other. After dimensional scalings are removed, the process depends only on a single dimensionless parameter, and on the dimensionless envelope structure of the stars. General formulae are derived; for definiteness, we apply them to the specific case of stars with an n = 3 polytropic structure. Capture cross sections as a function of velocity and capture rates for an isothermal distribution are given for the case of equal-mass stars; other cases can easily be computed from the formulae given.

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