Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere
Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere Spherical harmonic formulation of gravitational potential of the atmosphere depends on the analytical model of the atmospheric density which is used. Exponential and power mod...
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Walter de Gruyter GmbH
2008
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crdegruyter:10.2478/v10018-009-0005-8 2023-05-15T16:11:54+02:00 Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere Eshagh, Mehdi 2008 http://dx.doi.org/10.2478/v10018-009-0005-8 http://content.sciendo.com/view/journals/arsa/43/1/article-p25.xml https://www.degruyter.com/view/j/arsa.2008.43.issue-1/v10018-009-0005-8/v10018-009-0005-8.pdf unknown Walter de Gruyter GmbH Artificial Satellites volume 43, issue 1, page 25-43 ISSN 2083-6104 0208-841X journal-article 2008 crdegruyter https://doi.org/10.2478/v10018-009-0005-8 2022-04-14T05:12:57Z Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere Spherical harmonic formulation of gravitational potential of the atmosphere depends on the analytical model of the atmospheric density which is used. Exponential and power models are two well-known mathematical tools which are used in atmospheric applications. This paper presents simple formulas for the harmonic coefficients of internal and external types of the atmospheric potential based on these models which can be used in most of the gravimetric aspects. It considers the atmospheric effect on the satellite gravity gradiometry data as an example for numerical investigations. The numerical studies on these data show that the maximum atmospheric effect is about 2 mE over Fennoscandia based on both models, and their differences are less than 0.1 mE. The difference between indirect atmospheric effects reaches 2 cm and 0.02 mGal on the geoid and gravity anomaly, respectively in this region. Article in Journal/Newspaper Fennoscandia De Gruyter (via Crossref) Artificial Satellites 43 1 25 43 |
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De Gruyter (via Crossref) |
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crdegruyter |
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description |
Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere Spherical harmonic formulation of gravitational potential of the atmosphere depends on the analytical model of the atmospheric density which is used. Exponential and power models are two well-known mathematical tools which are used in atmospheric applications. This paper presents simple formulas for the harmonic coefficients of internal and external types of the atmospheric potential based on these models which can be used in most of the gravimetric aspects. It considers the atmospheric effect on the satellite gravity gradiometry data as an example for numerical investigations. The numerical studies on these data show that the maximum atmospheric effect is about 2 mE over Fennoscandia based on both models, and their differences are less than 0.1 mE. The difference between indirect atmospheric effects reaches 2 cm and 0.02 mGal on the geoid and gravity anomaly, respectively in this region. |
format |
Article in Journal/Newspaper |
author |
Eshagh, Mehdi |
spellingShingle |
Eshagh, Mehdi Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere |
author_facet |
Eshagh, Mehdi |
author_sort |
Eshagh, Mehdi |
title |
Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere |
title_short |
Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere |
title_full |
Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere |
title_fullStr |
Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere |
title_full_unstemmed |
Spherical Harmonics Expansion of the Atmospheric Gravitational Potential Based on Exponential and Power Models of Atmosphere |
title_sort |
spherical harmonics expansion of the atmospheric gravitational potential based on exponential and power models of atmosphere |
publisher |
Walter de Gruyter GmbH |
publishDate |
2008 |
url |
http://dx.doi.org/10.2478/v10018-009-0005-8 http://content.sciendo.com/view/journals/arsa/43/1/article-p25.xml https://www.degruyter.com/view/j/arsa.2008.43.issue-1/v10018-009-0005-8/v10018-009-0005-8.pdf |
genre |
Fennoscandia |
genre_facet |
Fennoscandia |
op_source |
Artificial Satellites volume 43, issue 1, page 25-43 ISSN 2083-6104 0208-841X |
op_doi |
https://doi.org/10.2478/v10018-009-0005-8 |
container_title |
Artificial Satellites |
container_volume |
43 |
container_issue |
1 |
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25 |
op_container_end_page |
43 |
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1765997116778348544 |