Моделювання магнітного поля Землі для визначення та контролю орієнтації PolyITAN-12U

Dmytro V. Serhieiev; Yevhen Yu. Kovalenko

doi:10.20535/2523-4455.mea.338666

Vol. 30 · Issue 2 · 2025 Aug 6, 2025 Electronic Systems and Signals

Modeling Earth’s Magnetic Field for PolyITAN-12U Attitude Determination and Control

Dmytro V. Serhieiev Corresponding Національний технічний університет України «Київський політехнічний інститут імені Ігоря Сікорського» Ukraine

Yevhen Yu. Kovalenko Національний технічний університет України «Київський політехнічний інститут імені Ігоря Сікорського» Ukraine

Pages338666.1-338666.11 PublishedAug 6, 2025

PDF (Ukrainian)

VOL 30 · ISS 2 · 2025 View issue

Abstract

This paper presents a simulation workflow that couples a Keplerian orbit propagator and the World Magnetic Model to generate along-track magnetic-field predictions for typical CubeSat LEO missions. The satellite position estimation mechanism was validated against International GNSS Service reference data, demonstrating acceptable day-scale accuracy that’s fit for attitude determination and control system (ADCS) studies. The synthesized geomagnetic environment shows field magnitudes spanning 18.3-51.7 µT (mean 36.2 µT) and rate of change up to 115.4 nT/s, which directly informs magnetometer dynamic-range and sampling requirements. Using measured PolyITAN-12U coil parameters and the spacecraft inertia, those conditions were translated into magnetorquer performance: torques about 2.3×10⁻⁵ yield angular accelerations of a few ×10⁻⁵ rad/s² depending on axis and local field strength. The workflow thus provides a quantitatively grounded basis for planning Helmholtz cage hardware-in-the-loop tests and tuning ADCS controllers for PolyITAN-12U satellite.

Keywords

#CubeSat #attitude control #magnetic field #orbit propagation

References

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H. Shim, O.-J. Kim, M. Park, M. Choi, and C. Kee, “Development of Hardware-in-the-Loop Simulation for CubeSat Platform: Focusing on Magnetometer and Magnetorquer,” IEEE Access, vol. 11, pp. 73164–73179, 2023, DOI: https://doi.org/10.1109/ACCESS.2023.3294565 .
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S. B. Örs, “Developing an Attitude Determination and Control System for 1U CubeSat,” Jun. 2024, DOI: https://doi.org/10.13140/RG.2.2.35088.42240 .

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§ 06 — Related

[1] A. Johnstone, “CubeSat Design Specification Rev. 14.1,” Feb. 2022, URL: https://static1.squarespace.com/static/5418c831e4b0fa4ecac1bacd/t/62193b7fc9e72e0053f00910/1645820809779/CDS+REV14_1+2022-02-09.pdf .

[2] E. Kulu, “CubeSats & Nanosatellites - 2024 Statistics, Forecast and Reliability,” in 31st IAA Symposium on Small Satellite Missions, 2024, pp. 601–614, DOI: https://doi.org/10.52202/078365-0069 .

[3] H. Shim, O.-J. Kim, M. Park, M. Choi, and C. Kee, “Development of Hardware-in-the-Loop Simulation for CubeSat Platform: Focusing on Magnetometer and Magnetorquer,” IEEE Access, vol. 11, pp. 73164–73179, 2023, DOI: https://doi.org/10.1109/ACCESS.2023.3294565 .

[4] M. K. Quadrino, “Testing the Attitude Determination and Control of a CubeSat with Hardware-in-the-Loop,” Massachusetts Institute of Technology, 2014, URL: https://dspace.mit.edu/handle/1721.1/91382 .

[5] F. L. Markley and J. L. Crassidis, Fundamentals of Spacecraft Attitude Determination and Control. New York, NY: Springer New York, 2014, ISBN: 978-1-4939-0801-1. DOI: https://doi.org/10.1007/978-1-4939-0802-8_1

[6] “World Geodetic System 1984,” Sep. 1991, URL: https://apps.dtic.mil/sti/tr/pdf/ADA280358.pdf .

[7] J. Stryjewski, “Coordinate Transformations,” URL: https://x-lumin.com/wp-content/uploads/2020/09/Coordinate_Transforms.pdf .

[8] Charles. Brown and W. Software. C Brown, Elements of Spacecraft Design. AIAA (American Institute of Aeronautics & Astronautics), 2004. ISBN: 978-1563475245

[9] Roger. Bate, D. D. Mueller, and J. E. White, Fundamentals of astrodynamics. Dover Publications, Inc., 1971.

[10] P. Cefola, D. A. Vallado, and P. J. Cefola, “Two-line element sets-Practice and use,” In 63rd International Astronautical Congress, Naples, Italy, International Astronautical Federation, 2012.

[11] M. Palacios, “Kepler equation and accelerated Newton method,” J Comput Appl Math, vol. 138, no. 2, pp. 335–346, Jan. 2002, DOI: https://doi.org/10.1016/S0377-0427(01)00369-7 .

[12] A. Porras-Hermoso, J. Cubas, and S. Pindado, “On the satellite attitude determination using simple environmental models and sensor data,” J Phys Conf Ser, vol. 2090, no. 1, p. 012116, Nov. 2021, DOI: https://doi.org/10.1088/1742-6596/2090/1/012116 .

[13] “Comparison of Orbit Propagators,” MATLAB Documentation. [Online]. Available: https://www.mathworks.com/help/aerotbx/ug/comparison-of-orbit-propagators.html .

[14] M. Navabi and M. Barati, “Mathematical modeling and simulation of the earth’s magnetic field: A comparative study of the models on the spacecraft attitude control application,” Appl Math Model, vol. 46, pp. 365–381, Jun. 2017, DOI: https://doi.org/10.1016/j.apm.2017.01.040 .

[15] Chulliat et al., “The US/UK World Magnetic Model for 2025-2030: Technical Report,” 2025, DOI: https://doi.org/10.25923/prbc-s316 .

[16] P. Alken et al., “International Geomagnetic Reference Field: the thirteenth generation,” Earth, Planets and Space, vol. 73, no. 1, p. 49, Dec. 2021, DOI: https://doi.org/10.1186/s40623-020-01288-x .

[17] J.-F. Oehler, D. Rouxel, and M.-F. Lequentrec-Lalancette, “Comparison of global geomagnetic field models and evaluation using marine datasets in the north-eastern Atlantic Ocean and western Mediterranean Sea,” Earth, Planets and Space, vol. 70, no. 1, p. 99, Dec. 2018, DOI: https://doi.org/10.1186/s40623-018-0872-y .

[18] D. Cilden-Guler, Z. Kaymaz, and C. Hajiyev, “Geomagnetic disturbance effects on satellite attitude estimation,” Acta Astronaut, vol. 180, pp. 701–712, Mar. 2021, DOI: https://doi.org/10.1016/j.actaastro.2020.12.044 .

[19] J. Kouba, “A guide to using International GPS Service (IGS) products,” Ottawa, Sep. 2015, URL: https://files.igs.org/pub/resource/pubs/UsingIGSProductsVer21_cor.pdf .

[20] A. El Fatimi, A. Addaim, and Z. Guennoun, “Study and design of an active magnetorquer actuator model for nanosatellites,” E3S Web of Conferences, vol. 351, p. 01051, May 2022, DOI: https://doi.org/10.1051/e3sconf/202235101051 .

[21] S. B. Örs, “Developing an Attitude Determination and Control System for 1U CubeSat,” Jun. 2024, DOI: https://doi.org/10.13140/RG.2.2.35088.42240 .

Modeling Earth’s Magnetic Field for PolyITAN-12U Attitude Determination and Control

Abstract

Keywords

References

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