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Magnetometer Calibration Based on the CHAOS-7 Model

  • Received : 2021.05.11
  • Accepted : 2021.07.01
  • Published : 2021.09.14

Abstract

We describe a method for the in-orbit calibration of body-mounted magnetometers based on the CHAOS-7 geomagnetic field model. The code is designed to find the true calibration parameters autonomously by using only the onboard magnetometer data and the corresponding CHAOS outputs. As the model output and satellite data have different coordinate systems, they are first transformed to a Star Tracker Coordinate (STC). Then, non-linear optimization processes are run to minimize the differences between the CHAOS-7 model and satellite data in the STC. The process finally searches out a suite of calibration parameters that can maximize the model-data agreement. These parameters include the instrument gain, offset, axis orthogonality, and Euler rotation matrices between the magnetometer frame and the STC. To validate the performance of the Python code, we first produce pseudo satellite data by convoluting CHAOS-7 model outputs with a prescribed set of the 'true' calibration parameters. Then, we let the code autonomously undistort the pseudo satellite data through optimization processes, which ultimately track down the initially prescribed calibration parameters. The reconstructed parameters are in good agreement with the prescribed (true) ones, which demonstrates that the code can be used for actual instrument data calibration. This study is performed using Python 3.8.5, NumPy 1.19.2, SciPy 1.6, AstroPy 4.2, SpacePy 0.2.1, and ChaosmagPy 0.5 including the CHAOS-7.6 geomagnetic field model. This code will be utilized for processing NextSat-1 and Small scale magNetospheric and Ionospheric Plasma Experiment (SNIPE) data in the future.

Keywords

References

  1. Alken P, Olsen N, Finlay CC, Co-estimation of geomagnetic field and in-orbit fluxgate magnetometer calibration parameters, Earth Planets Space. 72, 49 (2020). https://doi.org/10.1186/s40623-020-01163-9
  2. Connerney JEP, Benn M, Bjarno JB, Denver T, Espley J, et al., The Juno magnetic field investigation, Space Sci. Rev. 213, 39-138 (2017). https://doi.org/10.1007/s11214-017-0334-z
  3. Finlay CC, Kloss C, Olsen N, Hammer MD, Toffner-Clausen L, et al., The CHAOS-7 geomagnetic field model and observed changes in the South Atlantic Anomaly, Earth Planets Space. 213, 39-138 (2020). https://doi.org/10.1186/s40623-020-01252-9
  4. Kang S, Song Y, Park SY, Nanosat formation flying design for SNIPE mission, J. Astron. Space Sci. 37, 51-60 (2020). https://doi.org/10.5140/JASS.2020.37.1.51
  5. Kim E, Yoo JH, Kim HE, Seo H, Ryu K, et al., Initial operation and preliminary results of the instrument for the study of stable/storm-time space (ISSS) on board the next generation small satellite-1 (NEXTSat-1), J. Astron. Space Sci. 37, 209-218 (2020). https://doi.org/10.5140/JASS.2020.37.3.209
  6. Merayo JMG, Primdahl F, Brauer P, Risbo T, Olsen N, et al., The orthogonalization of magnetic systems, Sens. Actuators A Phys. 89, 185-196 (2001). https://doi.org/10.1016/S0924-4247(00)00515-X
  7. Olsen N, Magnetometer data from the GRACE satellite duo, Earth Planets Space. 73, 62 (2021). https://doi.org/10.1186/s40623-021-01373-9
  8. Olsen N, Albini G, Bouffard J, Parrinello T, Toffner-Clausen L, Magnetic observations from CryoSat-2: calibration and processing of satellite platform magnetometer data, Earth Planets Space. 72, 48 (2020). https://doi.org/10.1186/s40623-020-01171-9
  9. Olsen N, Luhr H, Finlay CC, Sabaka TJ, Michaelis I, et al., The CHAOS-4 geomagnetic field model, Geophys. J. Int. 197, 815-827 (2014). https://doi.org/10.1093/gji/ggu033
  10. Olsen N, Toffner-Clausen L, Sabaka TJ, Brauer P, Merayo JMG, et al., Calibration of the Orsted vector magnetometer, Earth Planets Space. 55, 11-18 (2003). https://doi.org/10.1186/BF03352458
  11. Risbo T, Brauer P, Merayo JMG, Nielsen OV, Petersen JR, et al., Orsted pre-flight magnetometer calibration mission, Meas. Sci. Technol. 14, 674-688 (2003). https://doi.org/10.1088/0957-0233/14/5/319
  12. Sohn J, Lee J, Jo G, Lee J, Hwang J, et al., Conceptual design of a solid state telescope for small scale magNetospheric ionospheric plasma experiments, J. Astron. Space Sci. 35, 195-200 (2018). https://doi.org/10.5140/JASS.2018.35.3.195
  13. Stolle C, Michaelis I, Xiong C, Rother M, Usbeck T, et al., Observing Earth's magnetic environment with the GRACEFO mission, Earth Planets Space. 73 (2021). https://doi.org/10.1186/s40623-021-01364-w