Wave angular momentum and the evolution of planetary rings
Article first published online: 3 MAR 2010
DOI: 10.1111/j.1365-2966.2010.16301.x
© 2010 The Authors. Journal compilation © 2010 RAS
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How to Cite
Dranikov, I. L. and Fridman, A. M. (2010), Wave angular momentum and the evolution of planetary rings. Monthly Notices of the Royal Astronomical Society, 404: 415–432. doi: 10.1111/j.1365-2966.2010.16301.x
Publication History
- Issue published online: 21 APR 2010
- Article first published online: 3 MAR 2010
- Accepted 2010 January 5. Received 2010 January 5; in original form 2008 November 12
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Keywords:
- convection;
- hydrodynamics;
- line: formation;
- waves;
- planets and satellites: rings;
- planet–disc interactions
ABSTRACT
A theory is proposed that provides angular momentum conservation through the acoustic drift mechanism for gap and ringlet formation in planetary rings. In this context, a new variant of drift mechanism is found, which is dominant if the collision frequency is of the order of the orbital frequency or less. An angular pseudo-momentum equation is derived for gravitational acoustic waves with dissipation. An explicit expression for angular pseudo-momentum, taking into account vertical wave structure, is obtained. The relation between Eulerian- and Lagrangian-averaged mass fluxes is also derived, and the advantages of the Lagrangian one are emphasized.

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