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Nonlinear time-series analysis of Hyperion’s lightcurves
astrobiology
astronomy
observations and techniques
astrophysics and astroparticles
chaos
cosmology
extraterrestrial physics
space sciences
planets and satellites: individual: hyperion
Hyperion is a satellite of Saturn that was predicted to remain in a chaotic rotational state. This was confirmed to some extent by Voyager 2 and Cassini series of images and some ground-based photometric observations. The aim of this article is to explore conditions for potential observations to meet in order to estimate a maximal Lyapunov Exponent (mLE), which being positive is an indicator of chaos and allows to characterise it quantitatively. Lightcurves existing in literature as well as numerical simulations are examined using standard tools of theory of chaos. It is found that existing datasets are too short and undersampled to detect a positive mLE, although its presence is not rejected. Analysis of simulated lightcurves leads to an assertion that observations from one site should be performed over a year-long period to detect a positive mLE, if present, in a reliable way. Another approach would be to use 2–3 telescopes spread over the world to have observations distributed more uniformly. This may be achieved without disrupting other observational projects being conducted. The necessity of time-series to be stationary is highly stressed.
cris.lastimport.scopus | 2024-04-07T17:10:58Z | |
cris.lastimport.wos | 2024-04-09T23:31:08Z | |
dc.abstract.en | Hyperion is a satellite of Saturn that was predicted to remain in a chaotic rotational state. This was confirmed to some extent by Voyager 2 and Cassini series of images and some ground-based photometric observations. The aim of this article is to explore conditions for potential observations to meet in order to estimate a maximal Lyapunov Exponent (mLE), which being positive is an indicator of chaos and allows to characterise it quantitatively. Lightcurves existing in literature as well as numerical simulations are examined using standard tools of theory of chaos. It is found that existing datasets are too short and undersampled to detect a positive mLE, although its presence is not rejected. Analysis of simulated lightcurves leads to an assertion that observations from one site should be performed over a year-long period to detect a positive mLE, if present, in a reliable way. Another approach would be to use 2–3 telescopes spread over the world to have observations distributed more uniformly. This may be achieved without disrupting other observational projects being conducted. The necessity of time-series to be stationary is highly stressed. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut – Obserwatorium Astronomiczne | pl |
dc.contributor.author | Tarnopolski, Mariusz - 149507 | pl |
dc.date.accessioned | 2015-07-18T09:10:07Z | |
dc.date.available | 2015-07-18T09:10:07Z | |
dc.date.issued | 2015 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.admin | [AB] Tarnopolski, Mariusz | |
dc.description.number | 2 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 357 | pl |
dc.identifier.articleid | 160 | pl |
dc.identifier.doi | 10.1007/s10509-015-2379-3 | pl |
dc.identifier.eissn | 1572-946X | pl |
dc.identifier.issn | 0004-640X | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/13323 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights.licence | CC-BY | |
dc.share.type | inne | |
dc.subject.en | astrobiology | pl |
dc.subject.en | astronomy | pl |
dc.subject.en | observations and techniques | pl |
dc.subject.en | astrophysics and astroparticles | pl |
dc.subject.en | chaos | pl |
dc.subject.en | cosmology | pl |
dc.subject.en | extraterrestrial physics | pl |
dc.subject.en | space sciences | pl |
dc.subject.en | planets and satellites: individual: hyperion | pl |
dc.subtype | Article | pl |
dc.title | Nonlinear time-series analysis of Hyperion’s lightcurves | pl |
dc.title.journal | Astrophysics and Space Science | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |