article · Zenodo (CERN European Organization for Nuclear Research) · 2026
THE KEPLER PROBLEM
Jamila Alieva, Nigora Akbarova
Cited by 0Open access
Abstract
This paper examines the Kepler problem as a special case of the motion of bodies in a central force field. It presents Kepler's fundamental laws, which describe the motion of planets around the Sun, and discusses their physical meaning and significance for modern science. Particular attention is paid to the analytical solution of the two-body problem and the impossibility of obtaining an exact solution for systems with three or more bodies. In this regard, numerical methods for solving equations of motion are considered, specifically the use of the MATLAB environment for modeling orbital motion. An algorithm is presented for reducing a system of differential equations to first-order form and their subsequent numerical solution. The paper emphasizes the importance of the Kepler problem for the development of astronomy, mechanics, and space exploration.
Cite this paper
Alieva, J., & Akbarova, N. (2026). THE KEPLER PROBLEM. Zenodo (CERN European Organization for Nuclear Research). https://doi.org/10.5281/zenodo.19239185
Alieva, Jamila, and Nigora Akbarova. “THE KEPLER PROBLEM.” Zenodo (CERN European Organization for Nuclear Research), 2026, https://doi.org/10.5281/zenodo.19239185.
Alieva, Jamila, and Nigora Akbarova. 2026. “THE KEPLER PROBLEM.” Zenodo (CERN European Organization for Nuclear Research). https://doi.org/10.5281/zenodo.19239185.
Alieva, J. and Akbarova, N. (2026) ‘THE KEPLER PROBLEM’, Zenodo (CERN European Organization for Nuclear Research). Available at: https://doi.org/10.5281/zenodo.19239185.
@article{alieva2026kepler,
title = {{THE KEPLER PROBLEM}},
author = {Alieva, Jamila and Akbarova, Nigora},
journal = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
doi = {10.5281/zenodo.19239185}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.