Related Experiment Videos
On chaotic behavior of gravitating stellar shells.
M V Barkov1, G S Bisnovatyi-Kogan, A I Neishtadt
1Space Research Institute, 84/32 Profsoyuznaya Str, Moscow 117997, Russia. barmv@sai.msu.ru
Chaos (Woodbury, N.Y.)
|April 20, 2005
Summary
This study analyzes the chaotic motion of two stellar shells orbiting a central body. Researchers derived scaling laws for chaotic motion and the energy required for a light shell to escape gravitational influence.
Area of Science:
- Celestial Mechanics
- Astrophysics
- Dynamical Systems
Background:
- Understanding the long-term evolution of multi-body systems is crucial in astrophysics.
- Stellar shells offer a simplified yet insightful model for studying gravitational interactions.
Purpose of the Study:
- To describe the phase space structure of two gravitating stellar shells around a massive central body.
- To investigate the restricted problem where the gravitational influence of one shell on the other is negligible.
Main Methods:
- The study models each shell as point particles with identical specific angular momenta and energies.
- Analysis focuses on the restricted three-body problem analogue for stellar shells.
Main Results:
- The phase space structure of the restricted problem was successfully described.
- Scaling laws were obtained for the measure of chaotic motion.
- The minimal energy for the lighter shell to escape to infinity was determined.
Conclusions:
- The restricted problem provides a framework for understanding complex gravitational dynamics.
- The derived scaling laws offer quantitative insights into chaotic behavior and escape criteria in such systems.