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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| Published in | Acta astronautica Vol. 100; pp. 47 - 56 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.07.2014
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| Online Access | Get full text |
| ISSN | 0094-5765 1879-2030 |
| DOI | 10.1016/j.actaastro.2014.02.023 |
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| Abstract | 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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| AbstractList | 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. 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. |
| Author | Nazarenko, A.I. |
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| References_xml | – reference: B. Reynolds. Documentation of Program EVOLVE: A Numerical Model to Compute Projections of the Man-Made Orbital Debris Environment, System Planning Corp. Technical Report OD91-002-U-CSP, February 1991. – ident: bib16 – volume: 15 start-page: 314 year: 1956 ident: bib12 article-title: The descent of an Earth-satellite through the upper atmosphere, publication-title: J. Brit. Interpl. Soc. – reference: A.I. Nazarenko, and I.V. Usovik. Space debris evolution modeling with allowance for mutual collisions of objects larger than 1 cm in area. Proceedings of the sixth European conference on space debris. ESA/ESOC, Darmstadt 2013. – reference: A.I. Nazarenko. The prediction of near-Earth space contamination for 200 years and the Kessler syndrome. – year: 2002 ident: bib6 article-title: The solution of applied problems using the space debris prediction and analysis model publication-title: Space Debris: Hazard Evaluation and Mitigation – reference: Elyasberg P.E. 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| Snippet | The numerical–analytical technique for long-term prediction of the space debris (SD) spatial distribution, based on derivation and solution of new evolution... The numerical-analytical technique for long-term prediction of the space debris (SD) spatial distribution, based on derivation and solution of new evolution... |
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| SubjectTerms | Derivation Differential equations Evolution Evolution equations Mathematical analysis Mathematical models Orbital elements Space debris Spatial distribution Statistical distribution |
| Title | Prediction of the space debris spatial distribution on the basis of the evolution equations |
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