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The Gravitational Radius of an Irradiated Disk

Published online by Cambridge University Press:  05 March 2013

Kurt Liffman*
Affiliation:
School of Mathematical Sciences, Monash University, Clayton Vic 3168, Australia Energy and Thermofluids Engineering, CSIRO/MIT, Highett Vic 3190, [email protected]
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Abstract

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We derive an updated, analytic formula for the gravitational radius, rg, of an irradiated, thin disk. For such a disk, the region outside the gravitational radius will produce a thermal wind, while the region interior to the gravitational radius will be stable. We find that rg ≈ 1.4 (M*/M)/(T0/104K) AU. The value of 1.4 AU is approximately one fifth of currently used values.

The analysis uses the adiabatic approximation. We argue that the same formula applies for the non-adiabatic, isothermal case.

Type
Sixth Torino Workshop
Copyright
Copyright © Astronomical Society of Australia 2003

References

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