Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field
© 2019 COSPAR We present an integral-based approach for high-resolution regional recovery of the gravitational field in this article. We derive rigorous remove-compute-restore integral estimators relating the line-of-sight gravitational acceleration to an arbitrary order radial derivative of the...
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| Format: | Journal Article |
| Language: | English |
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ELSEVIER SCI LTD
2020
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| Online Access: | http://purl.org/au-research/grants/arc/DP160104095 http://hdl.handle.net/20.500.11937/81664 |
| _version_ | 1848764401441570816 |
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| author | Šprlák, M. Han, S.C. Featherstone, Will |
| author_facet | Šprlák, M. Han, S.C. Featherstone, Will |
| author_sort | Šprlák, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2019 COSPAR
We present an integral-based approach for high-resolution regional recovery of the gravitational field in this article. We derive rigorous remove-compute-restore integral estimators relating the line-of-sight gravitational acceleration to an arbitrary order radial derivative of the gravitational potential. The integral estimators are composed of three terms, i.e., the truncated integration, the low-frequency line-of-sight gravitational acceleration, and the high-frequency truncation error (effect of the distant zones). We test the accuracy of the integral transformations and of the integral estimators in a closed-loop simulation over the Montes Jura region on the nearside of the Moon. In this way, we determine optimal sizes of integration radii and grid discretisation. In addition, we investigate the performance of the regional integral inversion with synthetic and realistic GRAIL observations. We demonstrate that the regional inversion results of the disturbing gravitational potential and its first order radial derivative in the Montes Jura mountain range are less contaminated by high-frequency noise than the global spherical harmonic models. |
| first_indexed | 2025-11-14T11:18:46Z |
| format | Journal Article |
| id | curtin-20.500.11937-81664 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:18:46Z |
| publishDate | 2020 |
| publisher | ELSEVIER SCI LTD |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-816642021-11-08T02:39:26Z Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field Šprlák, M. Han, S.C. Featherstone, Will Science & Technology Technology Physical Sciences Engineering, Aerospace Astronomy & Astrophysics Geosciences, Multidisciplinary Meteorology & Atmospheric Sciences Engineering Geology Integral transformation Green's function Truncation error Spherical cap Satellite-to-satellite tracking Doppler tracking Inverse problem GRAVITY-FIELD LOCAL GRAVITY SATELLITE TRACKING MOON MODEL LINE REGULARIZATION EQUATIONS ERROR RANGE © 2019 COSPAR We present an integral-based approach for high-resolution regional recovery of the gravitational field in this article. We derive rigorous remove-compute-restore integral estimators relating the line-of-sight gravitational acceleration to an arbitrary order radial derivative of the gravitational potential. The integral estimators are composed of three terms, i.e., the truncated integration, the low-frequency line-of-sight gravitational acceleration, and the high-frequency truncation error (effect of the distant zones). We test the accuracy of the integral transformations and of the integral estimators in a closed-loop simulation over the Montes Jura region on the nearside of the Moon. In this way, we determine optimal sizes of integration radii and grid discretisation. In addition, we investigate the performance of the regional integral inversion with synthetic and realistic GRAIL observations. We demonstrate that the regional inversion results of the disturbing gravitational potential and its first order radial derivative in the Montes Jura mountain range are less contaminated by high-frequency noise than the global spherical harmonic models. 2020 Journal Article http://hdl.handle.net/20.500.11937/81664 10.1016/j.asr.2019.10.015 English http://purl.org/au-research/grants/arc/DP160104095 http://creativecommons.org/licenses/by-nc-nd/4.0/ ELSEVIER SCI LTD fulltext |
| spellingShingle | Science & Technology Technology Physical Sciences Engineering, Aerospace Astronomy & Astrophysics Geosciences, Multidisciplinary Meteorology & Atmospheric Sciences Engineering Geology Integral transformation Green's function Truncation error Spherical cap Satellite-to-satellite tracking Doppler tracking Inverse problem GRAVITY-FIELD LOCAL GRAVITY SATELLITE TRACKING MOON MODEL LINE REGULARIZATION EQUATIONS ERROR RANGE Šprlák, M. Han, S.C. Featherstone, Will Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field |
| title | Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field |
| title_full | Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field |
| title_fullStr | Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field |
| title_full_unstemmed | Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field |
| title_short | Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field |
| title_sort | integral inversion of grail inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field |
| topic | Science & Technology Technology Physical Sciences Engineering, Aerospace Astronomy & Astrophysics Geosciences, Multidisciplinary Meteorology & Atmospheric Sciences Engineering Geology Integral transformation Green's function Truncation error Spherical cap Satellite-to-satellite tracking Doppler tracking Inverse problem GRAVITY-FIELD LOCAL GRAVITY SATELLITE TRACKING MOON MODEL LINE REGULARIZATION EQUATIONS ERROR RANGE |
| url | http://purl.org/au-research/grants/arc/DP160104095 http://hdl.handle.net/20.500.11937/81664 |