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Construction of a model of evolution of objects of small-sized fraction of space debris formed as a result of destruction
Author(s) -
Г К Боровин,
M. V. Zakhvatkin,
V A Stepaniants,
I.V. Usovik
Publication year - 2021
Publication title -
preprint/preprinty ipm im. m.v. keldyša
Language(s) - English
Resource type - Journals
eISSN - 2071-2901
pISSN - 2071-2898
DOI - 10.20948/prepr-2021-75
Subject(s) - space debris , debris , spacecraft , fraction (chemistry) , space (punctuation) , interval (graph theory) , orbit (dynamics) , space environment , distribution (mathematics) , mass fraction , object (grammar) , physics , mathematics , computer science , meteorology , aerospace engineering , chemistry , mathematical analysis , thermodynamics , engineering , geophysics , artificial intelligence , organic chemistry , combinatorics , astronomy , operating system
The paper proposes a approach for constructing a statistical model for the distribution of a small-sized fraction of space debris in near-earth space, based on a particular model of the evolution of objects of a small-sized fraction of space debris. An algorithm for predicting the evolution of objects of small-sized fraction of space debris formed as a result of the destruction of the parent space object over a long time interval is described, as well as a system of equations in variations for mass calculations and statistical estimates of the parameters of the distribution of space debris in near-earth space. At a time interval of 10 years, calculations were carried out to obtain a common understanding of the evolution and lifetime of fragments of space debris ranging in size from 0.01 to 1 mm in the orbits of real groups and individual spacecraft. The time of existence of objects of small-sized fraction of space debris of the specified sizes depending on the parameters of the orbit and the value of their area-to-mass ratio is determined.

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