Galoitica: Journal of Mathematical Structures and Applications

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Volume 9 , Issue 2 , PP: 31-40, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

On the Accuracy of a 1U Cube-Sat on Low Orbit Depending on Extended Kalman Filter Algorithm in Mathematical Dual Space Transformation Formulas

Warshnine Barry 1 *

  • 1 University of Debrecen, Department of Mathematical and Computational Science, Debrecen, Hungary - (warshinabarrykurd@gmail.com)
  • Doi: https://doi.org/10.54216/GJMSA.090204

    Received: June 23, 2023 Revised: September 13, 2023 Accepted: December 16, 2023
    Abstract

    The objective of this paper is to study and analyze the accuracy of 1 U cube-sat on low orbit by using the mathematical novel space of dual (non real) representation numbers and with Extended Kalman filter algorithm. Also, we analyze the numerical results and compare its dual representation with the classical representation by using the formulas of projective duality of spaces between dual case and classical case.

    Keywords :

    Cube-sat , Kalman Algorithm , Orbit , Estimation , Dual space , Dual residue

    References

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    [4]           MOHAMMED, M.A; et al. Performance comparison of attitude determination, attitude estimation, and nonlinear observer’s algorithms. Journal of Physics: Conf. Series, 783 (2017).

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    [6]           SEGAN, S; AR·CETA, D. Orbit Determination and Parameter Estimation: Extended Kalman Filter (Ekf) Versus Least Squares Orbit Determination (LSQOD). Publ. Astron. Obs. Belgrade, No. 86 (2009).

    [7]           GRIGORE, V. Unscented Kalman Filters for Attitude and Orbit Estimation of a Low Earth Orbit CubeSat. Kth Royal Institute of Technology, Stockholm, Sweden, 2014.

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    [9]           CILDEN, D; SOKEN, H.E; HAJIYEV, C. Nanosatellite Attitude Estimation from Vector Measurements Using Svd-Aided Ukf Algorithm. Metrology and Measurement Systems, Vol. 24, No. 1, 2017, pp. 113–125.

    [10]      GABER1, K; EL_MASHADE1, M; ABDEL AZIZ, G.A. High precision attitude determination and control system design and real-time verification for CubeSats. International Journal of Communication Systems, May 2020.

    [11]   Chiha B., Al-ahmad H., Sbera. R; "Increasing the Attitude Estimation Accuracy of a 1UCUBESAT on Low Orbit Using the Developed Extended Kalman Filter Algorithm ", Tishreen University Journal for research and scientific studies, Eng. Sci. Series, 2023.

    Cite This Article As :
    Barry, Warshnine. On the Accuracy of a 1U Cube-Sat on Low Orbit Depending on Extended Kalman Filter Algorithm in Mathematical Dual Space Transformation Formulas. Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , 2023, pp. 31-40. DOI: https://doi.org/10.54216/GJMSA.090204
    Barry, W. (2023). On the Accuracy of a 1U Cube-Sat on Low Orbit Depending on Extended Kalman Filter Algorithm in Mathematical Dual Space Transformation Formulas. Galoitica: Journal of Mathematical Structures and Applications, (), 31-40. DOI: https://doi.org/10.54216/GJMSA.090204
    Barry, Warshnine. On the Accuracy of a 1U Cube-Sat on Low Orbit Depending on Extended Kalman Filter Algorithm in Mathematical Dual Space Transformation Formulas. Galoitica: Journal of Mathematical Structures and Applications , no. (2023): 31-40. DOI: https://doi.org/10.54216/GJMSA.090204
    Barry, W. (2023) . On the Accuracy of a 1U Cube-Sat on Low Orbit Depending on Extended Kalman Filter Algorithm in Mathematical Dual Space Transformation Formulas. Galoitica: Journal of Mathematical Structures and Applications , () , 31-40 . DOI: https://doi.org/10.54216/GJMSA.090204
    Barry W. [2023]. On the Accuracy of a 1U Cube-Sat on Low Orbit Depending on Extended Kalman Filter Algorithm in Mathematical Dual Space Transformation Formulas. Galoitica: Journal of Mathematical Structures and Applications. (): 31-40. DOI: https://doi.org/10.54216/GJMSA.090204
    Barry, W. "On the Accuracy of a 1U Cube-Sat on Low Orbit Depending on Extended Kalman Filter Algorithm in Mathematical Dual Space Transformation Formulas," Galoitica: Journal of Mathematical Structures and Applications, vol. , no. , pp. 31-40, 2023. DOI: https://doi.org/10.54216/GJMSA.090204