dynamic stabili zation of non-spherical bodies against unlimited collapse
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Dynamic stabilizationof non-spherical bodies
against unlimited collapse
G.S. Bisnovatyi-Kogan1,2,3 , O.Yu. Tsupko1,3
1Space Research Institute of Russian Academy of Science, Profsoyuznaya 84/32, Moscow 117997, Russia
2Joint Institute Nuclear Research, Dubna, Russia3Moscow Engineering Physics Institute, Moscow, Russia
e-mail: gkogan@iki.rssi.ru, tsupko@iki.rssi.ru
Dynamic stability of spherical stars
Non-rotating uniform 3-axis ellipsoid
Equations of motion
Non-dimensional equations of motion
for spheroid
Non-dimensional total energy(non-dimensional hamiltonian)
Results of numerical calculations
• The regular oscillations are represented by closed lines on the Poincar´e map, and chaotic behavior fills regions of finite square with dots.
The chaotic motion
The regular oscillations
Discussion
• MNRAS, 2008, accepted
• Thank you for your attention
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