On the mass-radius relation in close binary systems

Details On the mass-radius relation in close binary systems On the mass-radius relation in close binary systems

Sep 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..51...33c&link_type=abstract

Astrophysics and Space Science, vol. 51, no. 1, Sept. 1977, p. 33-38.

Astronomy and Astrophysics

Astrophysics

1

Binary Stars, Mass Transfer, Radii, Stellar Mass Ejection, Angular Momentum, Orbital Mechanics, Stellar Mass Accretion, White Dwarf Stars

Scientific paper

The paper demonstrates that the use of the mass-radius relation in circular close binary systems in which mass exchange occurs via Roche-lobe overflow can lead to unreasonable results in some situations. Two cases are considered, one where the total mass of the system is constant and another where mass transfer is self-sustained. For both cases it is found that the star whose radius exceeds or is equal to that of the Roche lobe gains mass instead of losing it if the usual mass-radius relation is assumed. It is noted that it might be possible to avoid such contradictions in the first case if the absolute value of the mass-loss rate exceeds a certain minimum value.

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