Intervals of linear stability of geometrical parameters in the restricted eight bodies problem with incomplete symmetry
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CEBOTARU, Elena. Intervals of linear stability of geometrical parameters in the restricted eight bodies problem with incomplete symmetry. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 32-33. ISBN 978-9975-76-247-2.
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Conference on Applied and Industrial Mathematics
Ediţia a 26-a, 2018
Conferința "Conference on Applied and Industrial Mathematics"
Iași, România, Romania, 20-22 septembrie 2018

Intervals of linear stability of geometrical parameters in the restricted eight bodies problem with incomplete symmetry


Pag. 32-33

Cebotaru Elena
 
Technical University of Moldova
 
Disponibil în IBN: 31 mai 2022


Rezumat

We consider the Newtonian restricted eight bodies problem with incomplete symmetry. We investigate the linear stability of this con guration by some numerical methods. For geometric parameter intervals of stability and instability are found, the corresponding theorem are formulated and proved. All relevant and numerical calculation are done with the computer algebra system Mathematica.

Cuvinte-cheie
Newtonian problem, differential equation of motion, configuration, particular solutions, equilibrium points, linear stability