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Review of the Dynamical Aspects of Triple Systems

Published online by Cambridge University Press:  12 April 2016

V. Szebehely
V. Szebehely*
Affiliation:
University of Texas at Austin

Abstract

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A classification of possible motions of triple systems is presented emphasizing the transient phenomena occurring in addition to the final (asymptotic) outcome and clarifying the discrepancies between the astronomical and mathematical formulations. A conjectured possible instability is described and it is shown that systems with negative total energy and low angular momentum may lead to instability and to the formation of binaries. The ejected or escaping star may have high velocity if the triple close approach preceding the escape is sufficiently close. The computational results of several systematic series of such escapes are applied to various stellar configurations.

The present status of the fundamental problem of partitioning the phase-space into stable and unstable regions is reviewed and a recently developed technique, applicable to stellar dynamics is described. Recently discovered families of periodic orbits and previously established classical configurations are shown to weaken the general instability conjecture.

The possible existence of triple systems in states of dissolution offer intriguing observational challenges regarding the discovery of these projected temporary trapezium type systems.

Resumen

Resumen

Se presenta una clasificación de los posibles movimientos de un sistema triple, enfatizando los fenómenos transitorios que ocurren antes de la situación final asintiótica y aclarando la discrepancia entre las formulaciones astronómica y matemática. Se ha descrito la conjetura de una posible inestabilidad y se ha mostrado que los sistemas con energía total negativa y con momento angular bajo, pueden conducir a inestabilidad y a la formación de binarias. La estrella escapada o eyectada puede tener velocidad alta si el encuentro triple que precede al escape es suficientemente estrecho. Los resultados del cálculo de algunas series sistemáticas de tales escapes, se aplican a varias configuraciones estelares.

Se ha revisado el estado actual del problema fundamental de la división del espacio fase en regiones estables e inestables y se ha descrito una técnica recién desarrollada aplicable a sistemas estelares. Se señala que las familias de órbitas periódicas recién descubiertas y las configuraciones clásicas previamente establecidas debilitan la conjetura general de inestabilidad.

La posible existencia de sistemas triples en estado de disolución ofrece un intrigante reto observacional para su descubrimiento.

Type
Session 5
Information
International Astronomical Union Colloquium , Volume 33: Observational Parameters and Dynamical Evolution of Multiple Stars , May 1977 , pp. 145 - 150
Copyright
Copyright © Otto G. Franz and Paris Pismis 1977

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