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Roche Instability in Ejecting Stellar Systems

Published online by Cambridge University Press:  12 April 2016

K.S.V.S. Narasimhan  and
S.M. Alladin
K.S.V.S. Narasimhan
Affiliation:
Centre of Advanced Study in Astronomy, Osmania University, Hyderabad, India
S.M. Alladin
Affiliation:
Centre of Advanced Study in Astronomy, Osmania University, Hyderabad, India

Abstract

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We consider a small stellar system ejected from the interior of a bigger one. The two systems are represented by unequal Plummer models and energy changes in them are derived analytically under the impulse approximation. These are used to obtain the conditions for the Roche instability of the systems. For systems greatly differing in dimension, the density ratio of the two systems is a useful parameter for specifying the Roche limit for the disruption of the smaller system and the mass ratio is a meaningful parameter for specifying the Roche limit for the disruption of the bigger system. Density ratios and mass ratios at Roche limit are given for both systems for various scale-length ratios of the two systems.

Type
Part III Stellar Systems and Galaxies
Information
International Astronomical Union Colloquium , Volume 132: Instability, Chaos and Predictability in Celestial Mechanics and Stellar Dynamics , 1993 , pp. 209 - 216
Copyright
Copyright © Nova Science Publishers 1993

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