Edges of Saturn's rings are fractal
- Creators
- Li, Jun
- Ostoja-Starzewski, Martin
Abstract
The images recently sent by the Cassini spacecraft mission (on the NASA website http://saturn.jpl.nasa.gov/photos/halloffame/) show the complex and beautiful rings of Saturn. Over the past few decades, various conjectures were advanced that Saturn's rings are Cantor-like sets, although no convincing fractal analysis of actual images has ever appeared. Here we focus on four images sent by the Cassini spacecraft mission (slide #42 "Mapping Clumps in Saturn's Rings", slide #54 "Scattered Sunshine", slide #66 taken two weeks before the planet's August 2009 equinox, and slide #68 showing edge waves raised by Daphnis on the Keeler Gap) and one image from the Voyager 2 mission in 1981. Using three box-counting methods, we determine the fractal dimension of edges of rings seen here to be consistently about 1.63 ~ 1.78. This clarifies in what sense Saturn's rings are fractal.
Additional Information
© 2015 Li and Ostoja-Starzewski; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited. Received: 8 January 2015; Accepted: 15 March 2015; Published: 1 April 2015. This work was made possible by the NSF support under the grant CMMI-1030940. Authors' contributions: JL carried out the analysis of images and helped to draft the manuscript. MO-S conceived of the study, participated in its design and coordination, and drafted the manuscript. Both authors read and approved the final manuscript.Attached Files
Published - 40064_2015_Article_926.pdf
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Additional details
- PMCID
- PMC4392038
- Eprint ID
- 56990
- Resolver ID
- CaltechAUTHORS:20150427-083905396
- CMMI-1030940
- NSF
- Created
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2015-04-27Created from EPrint's datestamp field
- Updated
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2022-06-08Created from EPrint's last_modified field