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

The numerical–analytical technique for long-term prediction of the space debris (SD) spatial distribution, based on derivation and solution of new evolution equations, is developed. These equations are represented in two forms — difference and differential. In the latter case the problem is reduced...

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Bibliographic Details
Published inActa astronautica Vol. 100; pp. 47 - 56
Main Author Nazarenko, A.I.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2014
Subjects
Derivation
Differential equations
Evolution
Evolution equations
Mathematical analysis
Mathematical models
Orbital elements
Space debris
Spatial distribution
Statistical distribution
Evolution equations
Space debris
Statistical distribution
Orbital elements
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Summary:The numerical–analytical technique for long-term prediction of the space debris (SD) spatial distribution, based on derivation and solution of new evolution equations, is developed. These equations are represented in two forms — difference and differential. In the latter case the problem is reduced to integration of the system of two ordinary differential equations. A high efficiency of the proposed technique, as compared to the traditional approach, is demonstrated. •New evolution equations for predicting the statistical distribution of space debris over the perigee altitude are derived.•The algorithms for solution of evolution equations are developed.•The application of new equations makes it possible to decrease computer time expenses by several orders of magnitude.
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ISSN:0094-5765
1879-2030
DOI:10.1016/j.actaastro.2014.02.023