ANALYTICAL SOLUTION FOR WAVES IN PLANETS WITH ATMOSPHERIC SUPERROTATION. II. LAMB, SURFACE, AND CENTRIFUGAL WAVES
Abstract
This paper is the second in a twopart study devoted to developing tools for a systematic classification of the wide variety of atmospheric waves expected on slowly rotating planets with atmospheric superrotation. Starting with the primitive equations for a cyclostrophic regime, we have deduced the analytical solution for the possible waves, simultaneously including the effect of the metric terms for the centrifugal force and the meridional shear of the background wind. In those cases where the conditions for the method of the multiple scales in height are met, these wave solutions are also valid when vertical shear of the background wind is present. A total of six types of waves have been found and their properties were characterized in terms of the corresponding dispersion relations and wave structures. In this second part, we study the waves' solutions when several atmospheric approximations are applied: Lamb, surface, and centrifugal waves. Lamb and surface waves are found to be quite similar to those in a geostrophic regime. By contrast, centrifugal waves turn out to be a special case of Rossby waves that arise in atmospheres in cyclostrophic balance. Finally, we use our results to identify the nature of the waves behind atmospheric periodicitiesmore »
 Authors:
 Instituto de Astrofísica de Andalucía (CSIC), Glorieta de la Astronomía, 18008 Granada (Spain)
 Institute of Space and Astronautical ScienceJapan Aerospace Exploration Agency 311, Yoshinodai, Chuoku, Sagamihara, Kanagawa 2525210 (Japan)
 Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford (United Kingdom)
 Centro de Astronomia e Astrofísica da Universidade de Lisboa (CAAUL), Observatório Astronómico de Lisboa, Tapada da Ajuda, 1349018 Lisboa (Portugal)
 LATMOS, UVSQ, 11 bd dAlembert, 78280 Guyancourt (France)
 Publication Date:
 OSTI Identifier:
 22340197
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Astrophysical Journal, Supplement Series; Journal Volume: 213; Journal Issue: 1; Other Information: Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; CLASSIFICATION; DISPERSION RELATIONS; LAMB SHIFT; PLANETARY ATMOSPHERES; SOLAR WIND; VENUS PLANET; WAVE PROPAGATION
Citation Formats
Peralta, J., LópezValverde, M. A., Imamura, T., Read, P. L., Luz, D., and Piccialli, A., Email: peralta@iaa.es. ANALYTICAL SOLUTION FOR WAVES IN PLANETS WITH ATMOSPHERIC SUPERROTATION. II. LAMB, SURFACE, AND CENTRIFUGAL WAVES. United States: N. p., 2014.
Web. doi:10.1088/00670049/213/1/18.
Peralta, J., LópezValverde, M. A., Imamura, T., Read, P. L., Luz, D., & Piccialli, A., Email: peralta@iaa.es. ANALYTICAL SOLUTION FOR WAVES IN PLANETS WITH ATMOSPHERIC SUPERROTATION. II. LAMB, SURFACE, AND CENTRIFUGAL WAVES. United States. doi:10.1088/00670049/213/1/18.
Peralta, J., LópezValverde, M. A., Imamura, T., Read, P. L., Luz, D., and Piccialli, A., Email: peralta@iaa.es. Tue .
"ANALYTICAL SOLUTION FOR WAVES IN PLANETS WITH ATMOSPHERIC SUPERROTATION. II. LAMB, SURFACE, AND CENTRIFUGAL WAVES". United States.
doi:10.1088/00670049/213/1/18.
@article{osti_22340197,
title = {ANALYTICAL SOLUTION FOR WAVES IN PLANETS WITH ATMOSPHERIC SUPERROTATION. II. LAMB, SURFACE, AND CENTRIFUGAL WAVES},
author = {Peralta, J. and LópezValverde, M. A. and Imamura, T. and Read, P. L. and Luz, D. and Piccialli, A., Email: peralta@iaa.es},
abstractNote = {This paper is the second in a twopart study devoted to developing tools for a systematic classification of the wide variety of atmospheric waves expected on slowly rotating planets with atmospheric superrotation. Starting with the primitive equations for a cyclostrophic regime, we have deduced the analytical solution for the possible waves, simultaneously including the effect of the metric terms for the centrifugal force and the meridional shear of the background wind. In those cases where the conditions for the method of the multiple scales in height are met, these wave solutions are also valid when vertical shear of the background wind is present. A total of six types of waves have been found and their properties were characterized in terms of the corresponding dispersion relations and wave structures. In this second part, we study the waves' solutions when several atmospheric approximations are applied: Lamb, surface, and centrifugal waves. Lamb and surface waves are found to be quite similar to those in a geostrophic regime. By contrast, centrifugal waves turn out to be a special case of Rossby waves that arise in atmospheres in cyclostrophic balance. Finally, we use our results to identify the nature of the waves behind atmospheric periodicities found in polar and lower latitudes of Venus's atmosphere.},
doi = {10.1088/00670049/213/1/18},
journal = {Astrophysical Journal, Supplement Series},
number = 1,
volume = 213,
place = {United States},
year = {Tue Jul 01 00:00:00 EDT 2014},
month = {Tue Jul 01 00:00:00 EDT 2014}
}

This paper is the first of a twopart study devoted to developing tools for a systematic classification of the wide variety of atmospheric waves expected on slowly rotating planets with atmospheric superrotation. Starting with the primitive equations for a cyclostrophic regime, we have deduced the analytical solution for the possible waves, simultaneously including the effect of the metric terms for the centrifugal force and the meridional shear of the background wind. In those cases when the conditions for the method of the multiple scales in height are met, these wave solutions are also valid when vertical shear of the backgroundmore »

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