A signal-strength model for gravity-field spectrum components in a local space
<p>In the Earth gravity-field model, potential coefficients are projections of the Earth gravitational potential on the corresponding spherical harmonics by degree and order. These coefficients reflect the spectral composition of the Earth gravitational potential in the whole space, but they c...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Istituto Nazionale di Geofisica e Vulcanologia (INGV)
2013-02-01
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| Series: | Annals of Geophysics |
| Subjects: | |
| Online Access: | http://www.annalsofgeophysics.eu/index.php/annals/article/view/5459 |
| _version_ | 1819179596646449152 |
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| author | Liu Hongwei Wang Zhaokui Zhang Yulin |
| author_facet | Liu Hongwei Wang Zhaokui Zhang Yulin |
| author_sort | Liu Hongwei |
| collection | DOAJ |
| description | <p>In the Earth gravity-field model, potential coefficients are projections of the Earth gravitational potential on the corresponding spherical harmonics by degree and order. These coefficients reflect the spectral composition of the Earth gravitational potential in the whole space, but they cannot reflect the spectral composition in a local area. In this study, the Earth gravitational potential was projected on spherical harmonics in a local area using a window function introduced to facilitate the mathematical expressions. Then a model for the spectral structure of the Earth gravitational potential in the local area was established. The model can reflect the signal strength of any gravity-field spectrum component in the local area, which adds information for the description of the gravity field of the Earth, and which has great significance for Earth-sciences research and satellite gravity measurements. Taking the third-degree coefficients, for example, the signal-strength distributions of potential coefficients were computed. The data show that the signal-strength distributions of third-degree coefficients on the sphere surface are independent of the longitude. Among the third-degree coefficients, the zero-order, first-order and second-order coefficients are stronger near the two poles of the Earth, while the third-order coefficient is stronger near the equator.</p> |
| first_indexed | 2024-12-22T22:00:58Z |
| format | Article |
| id | doaj.art-2e3befa2627a4ad2a2ff3447bf820544 |
| institution | Directory Open Access Journal |
| issn | 1593-5213 2037-416X |
| language | English |
| last_indexed | 2024-12-22T22:00:58Z |
| publishDate | 2013-02-01 |
| publisher | Istituto Nazionale di Geofisica e Vulcanologia (INGV) |
| record_format | Article |
| series | Annals of Geophysics |
| spelling | doaj.art-2e3befa2627a4ad2a2ff3447bf8205442022-12-21T18:11:07ZengIstituto Nazionale di Geofisica e Vulcanologia (INGV)Annals of Geophysics1593-52132037-416X2013-02-0155510.4401/ag-54595812A signal-strength model for gravity-field spectrum components in a local spaceLiu Hongwei0Wang Zhaokui1Zhang Yulin2Institute of Aerospace Science and Engineering, National University of Defence Technology, ChangshaSchool of Aerospace, Tsinghua University, BeijingInstitute of Aerospace Science and Engineering, National University of Defence Technology, Changsha, China; School of Aerospace, Tsinghua University, Beijing<p>In the Earth gravity-field model, potential coefficients are projections of the Earth gravitational potential on the corresponding spherical harmonics by degree and order. These coefficients reflect the spectral composition of the Earth gravitational potential in the whole space, but they cannot reflect the spectral composition in a local area. In this study, the Earth gravitational potential was projected on spherical harmonics in a local area using a window function introduced to facilitate the mathematical expressions. Then a model for the spectral structure of the Earth gravitational potential in the local area was established. The model can reflect the signal strength of any gravity-field spectrum component in the local area, which adds information for the description of the gravity field of the Earth, and which has great significance for Earth-sciences research and satellite gravity measurements. Taking the third-degree coefficients, for example, the signal-strength distributions of potential coefficients were computed. The data show that the signal-strength distributions of third-degree coefficients on the sphere surface are independent of the longitude. Among the third-degree coefficients, the zero-order, first-order and second-order coefficients are stronger near the two poles of the Earth, while the third-order coefficient is stronger near the equator.</p>http://www.annalsofgeophysics.eu/index.php/annals/article/view/5459Earth's Gravitational PotentialLocal AreaSpectrum StructureSpherical Cap Harmonic Analysis |
| spellingShingle | Liu Hongwei Wang Zhaokui Zhang Yulin A signal-strength model for gravity-field spectrum components in a local space Annals of Geophysics Earth's Gravitational Potential Local Area Spectrum Structure Spherical Cap Harmonic Analysis |
| title | A signal-strength model for gravity-field spectrum components in a local space |
| title_full | A signal-strength model for gravity-field spectrum components in a local space |
| title_fullStr | A signal-strength model for gravity-field spectrum components in a local space |
| title_full_unstemmed | A signal-strength model for gravity-field spectrum components in a local space |
| title_short | A signal-strength model for gravity-field spectrum components in a local space |
| title_sort | signal strength model for gravity field spectrum components in a local space |
| topic | Earth's Gravitational Potential Local Area Spectrum Structure Spherical Cap Harmonic Analysis |
| url | http://www.annalsofgeophysics.eu/index.php/annals/article/view/5459 |
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