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From tensor to vector of gravitation
University West, Department of Engineering Science, Division of Natural Sciences and Electrical and Surveying Engineering.ORCID iD: 0000-0003-0067-8631
2014 (English)In: Artificial Satellites, ISSN 2083-6104, Vol. 49, no 2, p. 63-80Article in journal (Refereed) Published
Abstract [en]

Different gravitational force models are used for determining the satellites’ orbits. The satellite gravity gradiometry (SGG) data contain this gravitational information and the satellite accelerations can be determined from them. In this study, we present that amongst the elements of the gravitational tensor in the local north-oriented frame, all of the elements are suitable for this purpose except Txy. Three integral formulae with the same kernel function are presented for recovering the accelerations from the SGG data. The kernel of these integrals is well-behaving which means that the contribution of the far-zone data is not very significant to their integration results; but this contribution is also dependent on the type of the data being integrated. Our numerical studies show that the standard deviations of the differences between the accelerations recovered from Tzz, Txz and Tyz  and those computed by an existing Earth´s gravity model reduce by increasing the cap size of integration. However, their root mean squared errors increase for recovering Tyfrom Tyz.  Larger cap sizes than 5   is recommended for recovering Tx and Tz  but smaller ones for Ty.

Place, publisher, year, edition, pages
Walter de Gruyter, 2014. Vol. 49, no 2, p. 63-80
Keywords [en]
Orbit integration, satellite gravity gradiometry, satellite acceleration
National Category
Earth and Related Environmental Sciences
Research subject
ENGINEERING
Identifiers
URN: urn:nbn:se:hv:diva-6074DOI: 10.2478/arsa-2014-0006OAI: oai:DiVA.org:hv-6074DiVA, id: diva2:706560
Available from: 2014-03-20 Created: 2014-03-20 Last updated: 2016-11-21Bibliographically approved

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Eshagh, Mehdi

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