Numerical differentiation approaches for kinematic orbit solutions.
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| Title: | Numerical differentiation approaches for kinematic orbit solutions. |
|---|---|
| Authors: | Zapevalin, P.R.1 (AUTHOR) pav9981@yandex.ru, Zharov, V.E.2 (AUTHOR) |
| Source: | Advances in Space Research. Feb2026, Vol. 77 Issue 3, p3889-3905. 17p. |
| Subjects: | Numerical differentiation, Velocity measurements, Signal processing, Orbits (Astronomy), Gravitational fields, Orbital mechanics, Digital filters (Mathematics) |
| Abstract: | • Developed numerical methods for deriving velocities from kinematic orbits. • Compared central difference, EDF30 and Savitzky-Golay filtering. • Simulate gravity field recovery in case of GOCE orbit. • Compared GOCE and GRACE-FO data. • Integrated FIR and IIR filters to reduce noise amplification. • Spectral analysis showed the performance of differentiation under different conditions. • Achieved 3D RMSE of 0.15 mm/s for kinematic velocities w.r.t. HRD orbit. • Enhanced accuracy of gravity field recovery for independent modeling. This paper investigates numerical differentiation methods for obtaining velocities and accelerations from kinematic low-Earth orbits using simulated data and data from the GOCE and GRACE-FO missions with reduced-dynamic orbits as a reference. Kinematic orbits are crucial for independent gravity field modeling in the long-wavelength part of the spectrum free from a priori gravity assumptions, but they lack direct velocity and acceleration data, requiring numerical differentiation of the orbit data. We compare central difference approximation, Extended Differentiation and Savitzky-Golay filtering, chosen based on previous literature, and integrate low-pass filters (FIR, IIR) to reduce noise amplification. Power spectral density analysis and error metrics for GOCE and GRACE-FO show that despite slight differences in these missions, SGF and low-pass filtering generally yield the best accuracy in determining kinematic velocity. These studies can be used to construct new gravity field maps and can also be considered for future geodetic applications. [ABSTRACT FROM AUTHOR] |
| Copyright of Advances in Space Research is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 191270685 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Numerical differentiation approaches for kinematic orbit solutions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zapevalin%2C+P%2ER%2E%22">Zapevalin, P.R.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> pav9981@yandex.ru</i><br /><searchLink fieldCode="AR" term="%22Zharov%2C+V%2EE%2E%22">Zharov, V.E.</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Advances+in+Space+Research%22">Advances in Space Research</searchLink>. Feb2026, Vol. 77 Issue 3, p3889-3905. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Numerical+differentiation%22">Numerical differentiation</searchLink><br /><searchLink fieldCode="DE" term="%22Velocity+measurements%22">Velocity measurements</searchLink><br /><searchLink fieldCode="DE" term="%22Signal+processing%22">Signal processing</searchLink><br /><searchLink fieldCode="DE" term="%22Orbits+%28Astronomy%29%22">Orbits (Astronomy)</searchLink><br /><searchLink fieldCode="DE" term="%22Gravitational+fields%22">Gravitational fields</searchLink><br /><searchLink fieldCode="DE" term="%22Orbital+mechanics%22">Orbital mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Digital+filters+%28Mathematics%29%22">Digital filters (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: • Developed numerical methods for deriving velocities from kinematic orbits. • Compared central difference, EDF30 and Savitzky-Golay filtering. • Simulate gravity field recovery in case of GOCE orbit. • Compared GOCE and GRACE-FO data. • Integrated FIR and IIR filters to reduce noise amplification. • Spectral analysis showed the performance of differentiation under different conditions. • Achieved 3D RMSE of 0.15 mm/s for kinematic velocities w.r.t. HRD orbit. • Enhanced accuracy of gravity field recovery for independent modeling. This paper investigates numerical differentiation methods for obtaining velocities and accelerations from kinematic low-Earth orbits using simulated data and data from the GOCE and GRACE-FO missions with reduced-dynamic orbits as a reference. Kinematic orbits are crucial for independent gravity field modeling in the long-wavelength part of the spectrum free from a priori gravity assumptions, but they lack direct velocity and acceleration data, requiring numerical differentiation of the orbit data. We compare central difference approximation, Extended Differentiation and Savitzky-Golay filtering, chosen based on previous literature, and integrate low-pass filters (FIR, IIR) to reduce noise amplification. Power spectral density analysis and error metrics for GOCE and GRACE-FO show that despite slight differences in these missions, SGF and low-pass filtering generally yield the best accuracy in determining kinematic velocity. These studies can be used to construct new gravity field maps and can also be considered for future geodetic applications. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Advances in Space Research is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.asr.2025.11.059 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 3889 Subjects: – SubjectFull: Numerical differentiation Type: general – SubjectFull: Velocity measurements Type: general – SubjectFull: Signal processing Type: general – SubjectFull: Orbits (Astronomy) Type: general – SubjectFull: Gravitational fields Type: general – SubjectFull: Orbital mechanics Type: general – SubjectFull: Digital filters (Mathematics) Type: general Titles: – TitleFull: Numerical differentiation approaches for kinematic orbit solutions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zapevalin, P.R. – PersonEntity: Name: NameFull: Zharov, V.E. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02731177 Numbering: – Type: volume Value: 77 – Type: issue Value: 3 Titles: – TitleFull: Advances in Space Research Type: main |
| ResultId | 1 |
