27199 - Dynamics of Stellar Systems

Academic Year 2009/2010

  • Docente: Luca Ciotti
  • Credits: 6
  • SSD: FIS/05
  • Language: Italian
  • Teaching Mode: In-person learning (entirely or partially)
  • Campus: Bologna
  • Corso: Second cycle degree programme (LM) in Astrophysics and cosmology (cod. 8018)

Learning outcomes

Working knowledge of the gravitational phenomena (potential theory, violent relaxation, phase mixing, equilibria, stability, tidal fields, merging, Boltzman and Jeans equations) from open clusters to galaxy clusters scale.

Course contents

I] GENERALS
Potential theory and Green fuctions - Gravitational potential of disk galaxies and elliptical galaxies.  Collisionless Boltzmann equation and  Fokker-Planck equation. Jeans equations and the problem of self-consistency.

II] COLLISIONAL SYSTEMS: Gravitational evaporation - gravothermal catastrophe and gravothermal oscillations. Dynamical evolution of globular clusters.    

III] COLLISIONLESS SYSTEMS: Epicyclic approximation and Oort constants. Density waves - Jeans theorem: King models, galaxy models and dark matter halos.

IV] EVOLUTIONARY PHENOMENA: Violent relaxation, phase mixing and gravitational collapse. Tidal fields:  tidal shocks, tidal heating, tidal captures - Dynamical friction - Merging.


Readings/Bibliography

Selected arguments from:

'Dynamics of galaxies' (G. Bertin, Cambridge University Press)
 
'Galactic Dynamics' (J. Binney, S. Tremaine Princeton University Press)

'Galactic Astronomy' (J. Binney, M. Merrifield Princeton  University Press)

'Dynamical evolution of globular clusters' (L. Spitzer Princeton University Press)

'Theory of rotating stars' (J.L. Tassoul, Princeton University Press)

'Lecture notes on stellar dynamics' (L. Ciotti Scuola Normale Superiore Pisa)

Teaching methods

Class lectures, discussion of influential research papers on international journals

Assessment methods

Oral exhamination

Teaching tools

Lecture notes

Office hours

See the website of Luca Ciotti