Tidal disruption of a star by a massive disk (The axisymmetric Roche problem)

Statistics – Computation

Scientific paper

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Accretion Disks, Protostars, Stellar Interiors, Tides, Astronomical Models, Computational Astrophysics, Interstellar Matter, Stellar Temperature

Scientific paper

The study derives the conditions under which a massive disk may completely disrupt the nonrotating central star that it surrounds via a tidal process similar to that encountered in the classical binary Roche problem. It is demonstrated that central stars with a polytropic index n is greater than +3 or less than 0 will never encounter runaway excretion, whereas in systems where tidal excretion has begun, central stars with n in the range of 0.292 to 3 will always encounter runaway excretion. Although the disruption of a central star by a surrounding disk is possible in principle, it is shown that the mean temperature of the disk must always be higher than that of the central star in order for this to occur. It is concluded that the disk-to-central object mass ratio in protostellar systems is not likely to be limited by this tidal process.

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