THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS ∗

Abstract. Spiral-shaped canyons on the polar ice caps of Mars are striking morphological features whose explanation is still mysterious. We pose a model for the kinetics at the ice-atmosphere interface based on the positive feedback properties of both dust and ice albedo within the north polar ice c...

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Main Authors: R. J. Zammett, A. C. Fowler
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
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Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.190.7104
http://www.maths.ox.ac.uk/%7Efowler/papers/2010.5.pdf
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spelling ftciteseerx:oai:CiteSeerX.psu:10.1.1.190.7104 2023-05-15T16:38:10+02:00 THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS ∗ R. J. Zammett A. C. Fowler The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.190.7104 http://www.maths.ox.ac.uk/%7Efowler/papers/2010.5.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.190.7104 http://www.maths.ox.ac.uk/%7Efowler/papers/2010.5.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.maths.ox.ac.uk/%7Efowler/papers/2010.5.pdf text ftciteseerx 2016-01-07T16:54:18Z Abstract. Spiral-shaped canyons on the polar ice caps of Mars are striking morphological features whose explanation is still mysterious. We pose a model for the kinetics at the ice-atmosphere interface based on the positive feedback properties of both dust and ice albedo within the north polar ice cap, together with katabatic wind transport of exposed dust. Analysis of this model indicates that traveling waves are possible, but only solitary waves are found in the numerical solution. This suggests that the traveling wave hypothesis for trough formation may not be an appropriate explanation. Key words. Mars, polar ice caps, spiral waves, phase plane analysis Text Ice cap Unknown
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description Abstract. Spiral-shaped canyons on the polar ice caps of Mars are striking morphological features whose explanation is still mysterious. We pose a model for the kinetics at the ice-atmosphere interface based on the positive feedback properties of both dust and ice albedo within the north polar ice cap, together with katabatic wind transport of exposed dust. Analysis of this model indicates that traveling waves are possible, but only solitary waves are found in the numerical solution. This suggests that the traveling wave hypothesis for trough formation may not be an appropriate explanation. Key words. Mars, polar ice caps, spiral waves, phase plane analysis
author2 The Pennsylvania State University CiteSeerX Archives
format Text
author R. J. Zammett
A. C. Fowler
spellingShingle R. J. Zammett
A. C. Fowler
THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS ∗
author_facet R. J. Zammett
A. C. Fowler
author_sort R. J. Zammett
title THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS ∗
title_short THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS ∗
title_full THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS ∗
title_fullStr THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS ∗
title_full_unstemmed THE MORPHOLOGY OF THE MARTIAN ICE CAPS: A MATHEMATICAL MODEL OF ICE-DUST KINETICS ∗
title_sort morphology of the martian ice caps: a mathematical model of ice-dust kinetics ∗
url http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.190.7104
http://www.maths.ox.ac.uk/%7Efowler/papers/2010.5.pdf
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http://www.maths.ox.ac.uk/%7Efowler/papers/2010.5.pdf
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