Supplementary Files
Keywords
Newtonian problem; dierential equation of motion; conguration; stationary points; linear stability.
How to Cite
CEBOTARU, E. (2020). ABOUT THE VALUES OF THE PARAMETERS THAT DESCRIBE THE NEWTONIAN PROBLEM OF THE EIGHT BODIES. Acta Et Commentationes Exact and Natural Sciences, 8(2), 7-15. https://doi.org/10.36120/2587-3644.v8i2.7-15
Abstract
We consider the Newtonian restricted eight bodies problem with incomplete symmetry.
We investigate the stability of some congurations of this problem. The values of the parameters
that describe the Newtonian problem of the eight bodies are investigate by some numerical methods.
For geometric parameter the intervals of linear stability and instability are found. All relevant and
numerical calculation are done with the computer algebra system Mathematica.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.