The Intriguing Structure of Stripes in GRACE Geopotential Models

Geopotential models derived from Gravity Recovery and Climate Experiment (GRACE) mission measurements are significantly obscured by the presence of a systematic artifact, known as longitudinal stripes. Based on our previous work (Peidou and Pagiatakis, 2020) we provide an in-depth analysis of the la...

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Autores principales: Spiros Pagiatakis, Athina Peidou
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:ae53824bac1f498980102a38c9373dc82021-11-11T18:54:42ZThe Intriguing Structure of Stripes in GRACE Geopotential Models10.3390/rs132143622072-4292https://doaj.org/article/ae53824bac1f498980102a38c9373dc82021-10-01T00:00:00Zhttps://www.mdpi.com/2072-4292/13/21/4362https://doaj.org/toc/2072-4292Geopotential models derived from Gravity Recovery and Climate Experiment (GRACE) mission measurements are significantly obscured by the presence of a systematic artifact, known as longitudinal stripes. Based on our previous work (Peidou and Pagiatakis, 2020) we provide an in-depth analysis of the latitudinal sampling characteristics of GRACE and we reveal the intriguing sampling mechanism that creates sub-Nyquist artifacts (stripes). Because the sub-Nyquist artifacts are poorly understood, we provide a simple simulation example to elucidate the mechanism of the sub-Nyquist artifact generation. Subsequently, we randomly select June 2009 daily GPS precise science orbits for GRACE-A to produce ground tracks to sample the low frequency disturbing potential (geoid) along the parallel of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ϕ</mi><mo>=</mo><msup><mrow><mn>10</mn></mrow><mo>°</mo></msup><mtext> </mtext><mi mathvariant="normal">N</mi></mrow></semantics></math></inline-formula>. The sampled geoid is then deinterlaced in space to produce a monthly data sequence whose detailed analysis shows that the sub-Nyquist artifacts (stripes) are produced from a critical sampling rate of the low degree gravitational field that is related to the ratio <i>m</i>/<i>n</i> of two mutually prime integers, where <i>m</i> is the number of days it takes to have a nearly repeat orbit and <i>n</i> is the number of complete orbits in one day. We perform extensive analyses of GRACE Level-2 data over a period of eight years to show the variability in the orbital characteristics that are directly linked to the orbit resonances (via integers <i>m</i> and <i>n</i>). It turns out that during short repeat cycle resonances the stripes are amplified. Finally, to minimize the presence of stripes in Level-2 data products, it is recommended that orbits of future missions should be designed to avoid the critical <i>m</i>/<i>n</i> ratios while appropriately monitoring and adjusting them during the mission. For completed missions, or missions that are already active, force modelling the latitudinal low frequency disturbing potential may be a viable and most preferred approach to filtering.Spiros PagiatakisAthina PeidouMDPI AGarticleGRACE stripessub-Nyquist artifactssampling artifactsaliasingdisturbing potentialScienceQENRemote Sensing, Vol 13, Iss 4362, p 4362 (2021)
institution DOAJ
collection DOAJ
language EN
topic GRACE stripes
sub-Nyquist artifacts
sampling artifacts
aliasing
disturbing potential
Science
Q
spellingShingle GRACE stripes
sub-Nyquist artifacts
sampling artifacts
aliasing
disturbing potential
Science
Q
Spiros Pagiatakis
Athina Peidou
The Intriguing Structure of Stripes in GRACE Geopotential Models
description Geopotential models derived from Gravity Recovery and Climate Experiment (GRACE) mission measurements are significantly obscured by the presence of a systematic artifact, known as longitudinal stripes. Based on our previous work (Peidou and Pagiatakis, 2020) we provide an in-depth analysis of the latitudinal sampling characteristics of GRACE and we reveal the intriguing sampling mechanism that creates sub-Nyquist artifacts (stripes). Because the sub-Nyquist artifacts are poorly understood, we provide a simple simulation example to elucidate the mechanism of the sub-Nyquist artifact generation. Subsequently, we randomly select June 2009 daily GPS precise science orbits for GRACE-A to produce ground tracks to sample the low frequency disturbing potential (geoid) along the parallel of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ϕ</mi><mo>=</mo><msup><mrow><mn>10</mn></mrow><mo>°</mo></msup><mtext> </mtext><mi mathvariant="normal">N</mi></mrow></semantics></math></inline-formula>. The sampled geoid is then deinterlaced in space to produce a monthly data sequence whose detailed analysis shows that the sub-Nyquist artifacts (stripes) are produced from a critical sampling rate of the low degree gravitational field that is related to the ratio <i>m</i>/<i>n</i> of two mutually prime integers, where <i>m</i> is the number of days it takes to have a nearly repeat orbit and <i>n</i> is the number of complete orbits in one day. We perform extensive analyses of GRACE Level-2 data over a period of eight years to show the variability in the orbital characteristics that are directly linked to the orbit resonances (via integers <i>m</i> and <i>n</i>). It turns out that during short repeat cycle resonances the stripes are amplified. Finally, to minimize the presence of stripes in Level-2 data products, it is recommended that orbits of future missions should be designed to avoid the critical <i>m</i>/<i>n</i> ratios while appropriately monitoring and adjusting them during the mission. For completed missions, or missions that are already active, force modelling the latitudinal low frequency disturbing potential may be a viable and most preferred approach to filtering.
format article
author Spiros Pagiatakis
Athina Peidou
author_facet Spiros Pagiatakis
Athina Peidou
author_sort Spiros Pagiatakis
title The Intriguing Structure of Stripes in GRACE Geopotential Models
title_short The Intriguing Structure of Stripes in GRACE Geopotential Models
title_full The Intriguing Structure of Stripes in GRACE Geopotential Models
title_fullStr The Intriguing Structure of Stripes in GRACE Geopotential Models
title_full_unstemmed The Intriguing Structure of Stripes in GRACE Geopotential Models
title_sort intriguing structure of stripes in grace geopotential models
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/ae53824bac1f498980102a38c9373dc8
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