Stability criteria in many-body systems. IV - Empirical stability parameters for general hierarchical dynamical systems

Details Stability criteria in many-body systems. IV - Empirical stability parameters for general hierarchical dynamical systems Stability criteria in many-body systems. IV - Empirical stability parameters for general hierarchical dynamical systems

Feb 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..29..149w&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 29, Feb. 1983, p. 149-178. Research supported by the Science Research Council.

Mathematics

Dynamical Systems

7

Equations Of Motion, Many Body Problem, Motion Stability, Orbital Mechanics, Solar Orbits, Stellar Systems, Systems Stability, Celestial Mechanics, Hierarchies, Inertial Reference Systems, Jacobi Matrix Method, Planetary Mass

Scientific paper

In this paper two cases of hierarchical arrangement common in many types of dynamical systems are considered viz. the planetary-type arrangement and the multiple stellar system type of arrangement. The former is considered in order to investigate the applicability of the empirical stability parameters derived in the first paper of this series (Walker et al., 1980) to planetary systems. The second type of system has not been considered thus far in the series. A coordinate system following the method of the Jacobian coordinate system is developed for these systems. Then, following a procedure similar to that of the above mentioned paper, empirical stability parameters are derived for those systems. Finally, the author uses the method to examine the stability of the sextuple Castor system.

Affiliated with

Also associated with

No associations

Rating

Stability criteria in many-body systems. IV - Empirical stability parameters for general hierarchical dynamical systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stability criteria in many-body systems. IV - Empirical stability parameters for general hierarchical dynamical systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability criteria in many-body systems. IV - Empirical stability parameters for general hierarchical dynamical systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1306020