Analysis of the space debris orbit determination possibility from optical measurements of the space system near-Earth space monitoring
Authors: Belyaev A.A., Koryanov V.V.
Published in issue: #3(159)/2025
DOI: 10.18698/2308-6033-2025-3-2434
Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Dynamics, Ballistics, Motion Control
The paper presents a variant of the solution to the problem of preliminary orbit determination of space debris object from optical measurements obtained by a constellation of near-Earth space monitoring spacecraft. The solution of the problem is based on the application of the least squares method in combination with the approach of admissible regions for the choice of the initial approximation. As an example, the solutions and accuracy estimates of the solution to the problem of preliminary orbit determination for three different types of orbits are given. The obtained results show the feasibility of the solution to the problem of space debris orbit determination by space measurements.
EDN PRIKDS
References
[1] ESA’s Annual Space Environment Report. ESA Space Debris Office, 2024.
[2] Veniaminov S.S. Space Debris. Technogenic Contamination of Space and its Consequences. 3rd ed. Moscow, IKI RAS, 2023, 204 ps.
[3] Belyaev A.A., Koryanov V.V. K voprosam opredeleniya parametrov orbitalnoy struktury kosmicheskoy sistemy monitoringa tekhnogennykh kosmicheskikh obyektov. [To the problems of orbital structure parameter design of the space system for monitoring space objects]. Inzhenerny zhurnal: nauka i innovatsii — Engineering Journal: Science and Innovation, 2024, iss. 12. EDN BIRFDZ
[4] Tommei G., Milani A., Rossi A. Orbit determination of space debris: admissible regions. Celestial Mechanics and Dynamical Astronomy, 2007, vol. 97, pp. 289–304.
[5] Belyaev A.A., Koryanov V.V., Anastasiya G.G. An approach for satellite constellation design for space object observation. Proceedings of the International Astronautical Congress, IAC. International Astronautical Federation (IAF), 2024, рр. 610–613.
[6] DeMars K.J., Jah M.K. Probabilistic initial orbit determination using gaussian mixture models. Journal of Guidance, Control, and Dynamics, 2013, vol. 36, no. 5, pp. 1324–1335.
[7] DeMars K.J., Jah M.K., Schumacher P.W. Initial orbit determination using short-arc angle and angle rate data. IEEE Transactions on Aerospace and Electronic Systems, 2012, vol. 48, no. 3, pp. 2628–2637.
[8] Schefer V.A. Шефер В.А. Metod opredeleniya pervonachal’noy orbity po trem i boleye nablyudeniyam na korotkoy duge [A method of initial orbit determination from three or more observations on a short arc]. Izvestiya vuzov. Fizika, 2010, vol. 53, no. 8/2, pp. 68–76
[9] Huang J. et al. Short-arc association and orbit determination for new geo objects with space-based optical surveillance. Aerospace, 2021, vol. 8, no. 10, pp. 298.
[10] Milani A., Gronchi G. Theory of orbit determination. Cambridge University Press, 2010.
[11] Marquardt D.W. An algorithm for least-squares estimation of nonlinear parameters. Journal of the society for Industrial and Applied Mathematics, 1963, vol. 11, no. 2, pp. 431–441.