Mikhail Vitalyevich Zahvatkin (Keldysh Institute of Applied Mathematics of the Russian Academy of Scienсes) :
Articles:
521.3:521.6 Statistical model of space objects distribution in space of orbital parameters
Borovin G. K. (Keldysh Institute of Applied Mathematics of the Russian Academy of Scienсes), Stepaniants V. A. (Keldysh Institute of Applied Mathematics of the Russian Academy of Scienсes), Zahvatkin M. V. (Keldysh Institute of Applied Mathematics of the Russian Academy of Scienсes), Usovik I. V. (JSC TsNIIMash)
doi: 10.18698/2309-3684-2019-4-6990
A statistical model of space debris is proposed. The model is based on the catalog of orbits of space objects, constructed using domestic and foreign sources. To build this model, the cataloged objects are clustering using criterion of closeness in a 4d space of orbital parameters characterizing the semimajor axis, eccentricity and position of the plane of the satellite orbits composing a cluster. The distribution of objects in each cluster is determined by the mathematical expectation and the covariance matrix of the spread of the orbital parameters of the cluster.
Боровин Г.К., Захваткин М.В., Степаньянц В.А., Усовик И.В. Статистическая модель распределения космических объектов в пространстве орбитальных параметров. Математическое моделирование и численные методы, 2019, № 4, с. 69–90.