Dynamic stabilization of non-spherical bodies against unlimited collapse

Authors

  • G. S. Bisnovatyi-Kogan,

    Corresponding author
    1. Space Research Institute of Russian Academy of Science, Profsoyuznaya 84/32, Moscow 117997, Russia
    2. Joint Institute for Nuclear Research, Dubna, Russia
    3. Moscow Engineering Physics Institute, Moscow, Russia
    Search for more papers by this author
  • O. Yu. Tsupko

    Corresponding author
    1. Space Research Institute of Russian Academy of Science, Profsoyuznaya 84/32, Moscow 117997, Russia
    2. Moscow Engineering Physics Institute, Moscow, Russia
    Search for more papers by this author

E-mail: gkogan@iki.rssi.ru (GSBK); tsupko@iki.rssi.ru (OYuT)

ABSTRACT

We solve the equations that describe, in a simplified way, the Newtonian dynamics of a self-gravitating non-rotating spheroidal body after loss of stability. We find that contraction to a singularity occurs only in a pure spherical collapse, and deviations from spherical symmetry stop the contraction through the stabilizing action of non-linear non-spherical oscillations. A real collapse occurs after damping of the oscillations because of energy losses, shock wave formation or viscosity. Detailed analysis of the non-linear oscillations is performed using a Poincaré map construction. Regions of regular and chaotic oscillations are localized on this map.

Ancillary