Some simple limits on size and rotation speed of astrophysical objects emitting by accretion

Astronomy and Astrophysics – Astrophysics

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Angular Velocity, Centrifugal Force, Stellar Evolution, Stellar Mass Ejection, Stellar Rotation, Charged Particles, Magnetic Dipoles, Magnetic Flux, Spatial Distribution, Stellar Magnetic Fields

Scientific paper

Some simple calculations are performed which demonstrate that certain upper limits can be placed on the size and angular velocity of a star emitting by mass accretion. Such upper limits are obtained by assuming a 'braking' mechanism for the infalling ionized matter, either magnetic braking, collisions followed by centrifugal balance, or a combination of both. Numerical examples are presented for three different values of the stellar magnetic flux, and the spatial distribution of the accreting material is considered. It is shown that the corotation of charged particles in a dipole magnetic field anchored to the star changes the standard Roche condition for stability, giving an extra effect due to the geometrical curvature of the magnetic field. The result is found to be a rather complex particle distribution which depends on the L-shell value and the form chosen for the particle density-distribution function.

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