Published April 27, 1981
| Published
Journal Article
Open
Almost Periodic Hill's Equation and the Rings of Saturn
- Creators
- Avron, Joseph E.
-
Simon, Barry
Chicago
An error occurred while generating the citation.
Abstract
Incommensurate perturbations of classical orbits lead to an almost periodic Hill's operator whose spectrum, we argue, is a Cantor set, but one with large Lebesgue measure. Applied to the rings of Saturn, this implies that the complex groove structure in the rings approximates a Cantor set. We also emphasize the possible relevance of the sun in producing "side gaps" which magnify the apparent gap size.
Additional Information
© 1981 American Physical Society. (Received 30 January 1981) We thank J. Moser and R. Johnson for telling us of their work before publication, A. Dekel, L. Yaffe, and particularly P. Goldreich for useful discussions and criticism, I. Mikolic-Torreira for writing a computer program for us, and F. Dyson and P. Lax for encouragement. We would also like to thank the S. Fairchild Visiting Scholar Program and the California Institute of Technology Mathematics Department for their hospitality. This research is supported in part by the National Science Foundation under Grant No. MCS-78-01885.Attached Files
Published - PhysRevLett.46.1166.pdf
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PhysRevLett.46.1166.pdf
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Additional details
- Eprint ID
- 85894
- Resolver ID
- CaltechAUTHORS:20180417-104513184
- Sherman Fairchild Foundation
- NSF
- MCS-78-01885
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2018-04-17Created from EPrint's datestamp field
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2021-11-15Created from EPrint's last_modified field