About the values of the parameters that describe the newtonian problem of the eight bodies
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Математическая кибернетика (93)
Вычислительная математика. Численный анализ (123)
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CEBOTARU, Elena. About the values of the parameters that describe the newtonian problem of the eight bodies. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2019, nr. 2(8), pp. 7-15. ISSN 2537-6284. DOI: https://doi.org/10.36120/2587-3644.v8i2.7-15
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Acta et commentationes (Ştiinţe Exacte și ale Naturii)
Numărul 2(8) / 2019 / ISSN 2537-6284 /ISSNe 2587-3644

About the values of the parameters that describe the newtonian problem of the eight bodies

Considerații despre valorile parametrilor ce descriu problema newtoniană a celor opt corpuri

DOI:https://doi.org/10.36120/2587-3644.v8i2.7-15
CZU: 519.718+519.624

Pag. 7-15

Cebotaru Elena
 
Technical University of Moldova
 
 
Disponibil în IBN: 29 ianuarie 2020


Rezumat

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.

Cuvinte-cheie
Newtonian problem dierential equation of motion conguration stationary points linear stability,

problema newtoniană, ecuatia diferentiala a miscarii, conguratie, puncte stationare, stabilitate lineara