Numerical differentiation approaches for kinematic orbit solutions.
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| Title: | Numerical differentiation approaches for kinematic orbit solutions. |
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| 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] |
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| Database: | Engineering Source |
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