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Jacobs, F., Hładczuk, N., van den IJssel, J., Siemes, C., and Visser, P., 2026. Joint optimization of a GRACE radiation pressure model, the accelerometer scale factors, and an empirical magnetic–field–induced accelerometer bias. Advances in Space Research, 77(12):12096–12121, doi:10.1016/j.asr.2026.04.043.
• from the NASA Astrophysics Data System • by the DOI System •
@ARTICLE{2026AdSpR..7712096J,
author = {{Jacobs}, F. and {H{\l}adczuk}, N. and {van den IJssel}, J. and {Siemes}, C. and {Visser}, P.},
title = "{Joint optimization of a GRACE radiation pressure model, the accelerometer scale factors, and an empirical magnetic-field-induced accelerometer bias}",
journal = {Advances in Space Research},
keywords = {GRACE, Accelerometer scale factors, Radiation pressure modeling, Magnetic-field-induced accelerometer bias},
year = 2026,
month = jun,
volume = {77},
number = {12},
pages = {12096-12121},
abstract = "{Valuable insights into the thermospheric mass density and horizontal
winds can be obtained from satellites equipped with
accelerometers. To derive these quantities, radiation pressure
must be accurately modeled and removed from the calibrated
accelerometer measurements. However, the documented surface
reflection and absorption coefficients, as well as the
satellite's thermal properties, are often inaccurate or, in some
cases, even absent. This study presents a method for optimizing
these parameters jointly with the accelerometer scale factors.
Focusing on GRACE data from 2009, a case where radiation
pressure was dominant over aerodynamic force, enabled us to
refine the radiation pressure model without detrimental effects
from errors in aerodynamic force modeling. We evaluated three
variants of estimating the scale factor: estimating no
accelerometer scale factors, only the y-axis scale factor, or
both the y- and z-axis scale factors. We use the difference
between the measured and modeled accelerations (the residual) as
our target functional. Estimating both scale factors yielded the
lowest residual for both GRACE satellites, even though the
radiation pressure model was tuned using GRACE-A data only.
After the optimization, we observed a systematic feature in the
cross-track residuals within the geographical domain, which
strongly correlates with the magnetic field vector experienced
by the spacecraft. While its cause remains unknown, we
introduced an empirical correction that effectively removed the
feature and significantly increased consistency between GRACE-A
and GRACE-B. Overall, we were able to reduce the RMS of the
residuals by more than 13\% in the cross-track direction and
32\% in the radial direction, indicating a significant increase
in modeling accuracy. The presented method provides a
generalizable approach that can also be applied to future
satellite missions with accelerometers.}",
doi = {10.1016/j.asr.2026.04.043},
adsurl = {https://ui.adsabs.harvard.edu/abs/2026AdSpR..7712096J},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
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