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Title:
Simulations of tidally driven eccentric instabilities with application to superhumps
Authors:
Lubow, Stephen H.
Affiliation:
AA(Space Telescope Science Institute, Baltimore, MD)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 381, Nov. 1, 1991, p. 268-277. (ApJ Homepage)
Publication Date:
11/1991
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Binary Stars, Orbital Resonances (Celestial Mechanics), Shell Stars, Stellar Models, Stellar Structure, Computational Astrophysics, Digital Simulation, Eccentric Orbits, Stellar Envelopes, Systems Stability, Tides
DOI:
10.1086/170648
Bibliographic Code:
1991ApJ...381..268L

Abstract

The eccentric evolution of fluid disks in close binaries is examined analytically with a 2D smooth-particle hydrodynamics code to develop a model of superhumps. The perturbing potential is limited to eliminate orbit crossings near resonance, and two distinct stages of eccentricity growth are identified. The angular and time dependences and binary angular speed of the wave are described for both stages; a mild wave exists in stage 1 which develops and then dissipates somewhat due to shocks in stage 2. The imbalance of the developing disk causes modifications of the apparent eccentricity of the two-armed inwardly propagating disturbance. A mode-coupling model for eccentricity growth is supported by the results of the analysis, and disks in close binaries can be truncated by a 3:1 resonance.

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