Prediction of the space debris spatial distribution on the basis of the evolution equations

Comparison of Various Methods for Orbital Measurements Processing

“…However, even in this case the errors are greater, than in the case of using the optimal filtration of measurements (the nonparametric approach). This conclusion agrees with results published in papers [7,9,10]. The application of a nonparametric approach is a perspective direction for increasing the orbit determination and prediction accuracy.…”

“…Here parameter S n can be treated as the signal-to-noise ratio. The estimate (7) provides the minimum of the criterion…”

“…The feature of estimate (7) is the fact that it is suitable for any time instants, including forecasting one. The value of interfering parameters (noises) is calculated after constructing the estimate (7) on the basis of residual discrepancies with using the relationship of the form (10) where F(t) is some matrix.…”

“…In the early 70-ies, it was suggested to improve LST based on accounting for random perturbations [3]. In subsequent works (Nazarenko, 1998(Nazarenko, , 2007(Nazarenko, , 2009(Nazarenko, , 2010(Nazarenko, , 2013(Nazarenko, , 2015Nazarenko et al, 2007) [4][5][6][7][8][9][10][11] this approach was updated and got the name of the method for Optimal Filtration of Measurements. The prominent feature of the developed technique is accounting for statistical characteristics of atmospheric disturbances on a fit span and during the motion prediction.…”

“…The comparative characteristics of the OMF technique accuracy were published in a rather general form in paper and in the monograph [7,8]. Here we will discuss them in more details.…”