Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- Part I Idealized homogeneous systems – basic ideas and gentle relaxation
- Part II Infinite inhomogeneous systems – galaxy clustering
- Part III Finite spherical systems – clusters of galaxies, galactic nuclei, globular clusters
- 37 Breakaway
- 38 Violent relaxation
- 39 Symmetry and Jeans' theorem
- 40 Quasi-equilibrium models
- 41 Applying the virial theorem
- 42 Observed dynamical properties of clusters
- 43 Gravithermal instabilities
- 44 Self-similar transport
- 45 Evaporation and escape
- 46 Mass segregation and equipartition
- 47 Orbit segregation
- 48 Binary formation and cluster evolution
- 49 Slingshot
- 50 Role of a central singularity
- 51 Role of a distributed background
- 52 Physical stellar collisions
- 53 More star–gas interactions
- 54 Problems and extensions
- 55 Bibliography
- Part IV Finite flattened systems – galaxies
- Index
47 - Orbit segregation
Published online by Cambridge University Press: 05 July 2011
- Frontmatter
- Contents
- Preface
- Introduction
- Part I Idealized homogeneous systems – basic ideas and gentle relaxation
- Part II Infinite inhomogeneous systems – galaxy clustering
- Part III Finite spherical systems – clusters of galaxies, galactic nuclei, globular clusters
- 37 Breakaway
- 38 Violent relaxation
- 39 Symmetry and Jeans' theorem
- 40 Quasi-equilibrium models
- 41 Applying the virial theorem
- 42 Observed dynamical properties of clusters
- 43 Gravithermal instabilities
- 44 Self-similar transport
- 45 Evaporation and escape
- 46 Mass segregation and equipartition
- 47 Orbit segregation
- 48 Binary formation and cluster evolution
- 49 Slingshot
- 50 Role of a central singularity
- 51 Role of a distributed background
- 52 Physical stellar collisions
- 53 More star–gas interactions
- 54 Problems and extensions
- 55 Bibliography
- Part IV Finite flattened systems – galaxies
- Index
Summary
Up and down, and in and out, Here and there, and round about
Gilbert and SullivanAny process, such as mass segregation, mass loss, or core–halo instability which redistributes the density of a gravitating system will also produce orbit segregation. Orbit segregation is caused primarily by changes in the mean gravitational field. It affects orbits according to their eccentricity.
In a globular cluster, for example, the timescale for mass segregation to redistribute density falls between the dynamical crossing timescale and the relaxation timescale for stars of average mass. Therefore orbits of average or light stars undergo secular changes governed by the slowly changing mean field. (We are isolating changes in the mean field which, averaged over orbits, lead to orbit segregation, so we now ignore close encounters and dynamical friction for the test stars.) Suppose, for clarity, we compare the extremes of eccentricity: circular and radial orbits. Let the cluster's density increase toward the center, as usual. If the cluster were in stationary equilibrium, stars in circular orbits would just go around and around, and those in radial orbits would just go in and out through the center, in equilibrium with the mean field. Stars with intermediate eccentricities, but constant angular momentum, would generally follow open orbits with constant amplitude.
Now suppose part of the cluster begins to contract slowly compared with the timescale for free fall.
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- Information
- Gravitational Physics of Stellar and Galactic Systems , pp. 346 - 351Publisher: Cambridge University PressPrint publication year: 1985