Formal aspects of possible hierarchies within a stellar system

Details Formal aspects of possible hierarchies within a stellar system Formal aspects of possible hierarchies within a stellar system

Sep 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..25...51n&link_type=abstract

Celestial Mechanics, vol. 25, Sept. 1981, p.51-64.

Other

5

Celestial Mechanics, Hierarchies, Star Clusters, Stellar Motions, Stellar Systems, Equations Of Motion, Kinematics, Many Body Problem, Stellar Gravitation

Scientific paper

A formalism is proposed, in order to study the hierarchical structures observed in many small stellar systems. Following some descriptive terminology, it is shown that the choice of suitable hierarchical coordinates allows one to keep a simple form of the equations of motion. When the structure is of binary type, every subsystem corresponds to a single equation where the terms describing the two-body approximation for the internal motion of the system are easily separated from those pertaining to the influence of the other subsystems. This type of structure appears likely to present, for small systems, a necessary condition of stability.

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