B.A. Levitan1, M.A. Murzova2, S.A. Topchiev3, V.E. Farber4

1-4 PJSC Radiofizika (Moscow, Russia)

1,4 Moscow Institute of Physics and Technology (National Research University) (Dolgoprudny, Russia)

1 Moscow Aviation Institute (National Research University) (Moscow, Russia)

A sustainable tracking of space objects could be divided onto two sub trajectories: above atmosphere and “through” the atmosphere. These space objects are detected by chirp radar. Usage of linear frequency modulated signals results in so-called range-Doppler coupling, which yields a displacement of measured position from a true range of moving space objects. In this work trajectory of the above atmospheric flight is considered with a polynomial model where radial distance and velocity are detected and used in the filtering processes. In the above atmosphere part of trajectory a high order coefficients are defined by equations of motion of the space object. While on the atmosphere part of tajectory a ballistic coefficient or radial acceleration is included into estimated parameters. The estimations of range and velocity of the space object obtained by above-atmospheric filter are used to determine an initial condition for the atmospheric filter. Since the filtering algorithm becomes more complicated, it is necessary to determine a criterion of re-entering into the atmosphere. A transition to object tracking in the atmosphere happens at some height if a residual of the above-atmospheric filter exceeds the standart deviation of the estimate multiplied by the fraction coefficient. The residual of the above-atmospheric filter consists of coordinates describing the atmospheric component of motion. The atmospheric component of range is used in the criterion. Here, it is shown that a more accurate determination of the analytical height is obtained by reducing the estimate variance of the atmospheric range component due to the range-Doppler coupling coefficient. Also this theoretical criterion of reentering the atmosphere of space objects is verified by simulation.

Levitan B.A., Murzova M.A., Topchiev S.A., Farber V.E. Analysis of aerodynamic drag influence on the tracking algorithms for re-entering space objects in chirp radar. Radiotekhnika. 2023. V. 87. № 3. P. 17−30. DOI: https://doi.org/10.18127/j00338486-202303-02 (In Russian)

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