Geodesic
Numerical model of the motion of artificial Earth satellites
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 86 (2023), pp. 5-20

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This paper presents the latest version of the software package “Numerical model of the motion of artificial Earth satellites”. Two versions of the program have been developed: one for a personal computer and another for the “SKIF Cyberia” supercomputer complex with parallelization of computational tasks at Tomsk State University. The software can take into account the following perturbing factors: geopotential nonsphericity effect, secular variations in the first zonal harmonics and tidal deformations within the Earth, gravitational influence of the Sun and Moon, radiation forces, atmospheric drag acceleration, influence of major planets, selenopotential harmonics, and relativistic effects. To study the chaotic nature of the orbital motion of near-Earth satellites, the developed software package is improved with the possibility of calculating the MEGNO parameter. The numerical model allows the user to additionally calculate resonant parameters using analytical and numerical techniques when studying the features of the orbital evolution of near-Earth objects. In the presented version of the software package for a personal computer, the interaction with the user is carried out by means of the software interface. The interface additionally allows one to create an input text file based on the completed data for further use in the version for the “SKIF Cyberia” supercomputer.
Keywords: numerical methods, artificial Earth satellites (AES), chaotic and stable orbits
Mots-clés : orbital evolution, MEGNO. 
@article{VTGU_2023_86_a0,
     author = {A. G. Aleksandrova and N. A. Popandopulo and N. A. Kucheryavchenko and V. A. Avdyushev and T. V. Bordovitsyna},
     title = {Numerical model of the motion of artificial {Earth} satellites},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {5--20},
     publisher = {mathdoc},
     number = {86},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2023_86_a0/}
}
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A. G. Aleksandrova; N. A. Popandopulo; N. A. Kucheryavchenko; V. A. Avdyushev; T. V. Bordovitsyna. Numerical model of the motion of artificial Earth satellites. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 86 (2023), pp. 5-20. http://geodesic.mathdoc.fr/item/VTGU_2023_86_a0/