Simulation of the motion of a cosmic body in an inhomogeneous gravitational field
https://doi.org/10.18384/2310-7251-2022-4-35-44
Abstract
Aim. We simulate the behavior of several bodies with Newtonian interaction potential and identify two bodies in this system in order to study their convergence.
Methodology. A system of second-order differential equations is constructed. These equations are translated into a system of algebraic equations. In a system of several bodies, two bodies are distinguished. The mutual behavior of these bodies is investigated by varying the masses of the remaining bodies of the system. All research is based on the Python language.
Results. The trajectories of motion of bodies in an inhomogeneous gravitational field formed by these bodies themselves are found. The approach trajectories of two selected bodies are obtained. The stability of such a trajectory is studied.
Research implications. In a system of several bodies interacting through gravitational potentials, a subsystem of two bodies is singled out. The stability of the orbit of rendezvous of two bodies in the field of action of other bodies of the chosen system is considered. The practical significance is expressed in the study of the security of the Earth.
About the Authors
V. S. Antonov
Moscow Region State University
Russian Federation
Russian Federation
Vladislav S. Antonov – Second-year student, Faculty of Physics and Mathematics
ul. Very Voloshinoi 24, Mytishchi 141014, Moscow Region
E. V. Kalashnikov
Moscow Region State University
Russian Federation
Russian Federation
Evgenii V. Kalashnikov – Dr. Sci. (Phys.-Math.), Prof., Department of Computational Mathematics and Information Technology
ul. Very Voloshinoi 24, Mytishchi 141014, Moscow Region
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