
Course unit
ASTROPHYSICS OF GALAXIES
SCN1032594, A.A. 2017/18
Information concerning the students who enrolled in A.Y. 2017/18
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Core courses 
FIS/05 
Astronomy and Astrophysics 
6.0 
Mode of delivery (when and how)
Period 
First semester 
Year 
1st Year 
Teaching method 
frontal 
Organisation of didactics
Type of hours 
Credits 
Hours of teaching 
Hours of Individual study 
Shifts 
Lecture 
6.0 
48 
102.0 
No turn 
Start of activities 
02/10/2017 
End of activities 
19/01/2018 
Prerequisites:

Basic knowledge of Astronomy, Astrophysics, Physics, and Numerical Methods. 
Target skills and knowledge:

The course is devoted to study of the galactic structure using stellar dynamics in combination with photometric and kinematical data obtained from ground and spacebased observations. 
Examination methods:

Oral exam. 
Assessment criteria:

Knowledge of the topics discussed during the lectures. 
Course unit contents:

1. OVERVIEW OF THE PROPERTIES OF GALAXIES. Morphology. Photometry. Kinematics. Scaling relations.
2. POTENTIAL THEORY. Gravitational potential. Poisson equation. Laplace equation. Gauss theorem. Potential energy. Potential energy tensor. Spherical systems. Newton theorems. Point mass. Homogeneous sphere. Hubble density profile. Powerlaw density profile. Axisymmetric systems. Logarithmic potential.
3. THE ORBITS OF THE STARS. Costants and integrals of the motion. Surfaces of section. Orbits in a static spherical potential. Orbits in a Keplerian potential. Orbits in a static axisymmetric potential. Motion in the meridional plane. Nearly circular orbits. Epicyclic approximation. Orbits in a twodimensional nonaxisymmetric nonrotating potential. Loop and box orbits. Stable and unstable orbits. Orbits in a twodimensional nonaxisymmetric rotating potential. Jacobi integral. Lagrangian points. Corotation. Families of orbits x1, x2, x3, x4. Introduction to the orbits in a threedimensional triaxial potential.
4. COLLISIONLESS SYSTEMS. Geometric collisions. Strong collisions. Weak collisions. Crossing time. Relaxation time. Distribution function. Collisionless Boltzmann equation. Continuity equation. Euler equation. Jeans equations. Applications of the Jeans equations. Velocity ellipsoid. Asymmetric drift. Mass density in the Solar neighborhood. Velocity dispersions in spherical systems. Massanisotropy degeneracy. Spheroidal systems with isotropic velocity dispersions. Disk heating mechanisms. Virial theorem. Masstolight ratio of spherical systems. Rotation of elliptical galaxies. Jeansâ€™ theorem. Density profile from the distribution function. Spherical systems with isotropic velocity dispersion. Polytropes. Plummer sphere. Isothermal sphere. Singular isothermal sphere. King radius. King method to derive the masstolight ratio. King models. Tidal radius. Concentration parameter. Distribution function from the density profile. Eddington equation. Introduction to spherical systems with anisotropic velocity dispersion. Michie models. 
Planned learning activities and teaching methods:

Lectures on galactic dynamics. 
Additional notes about suggested reading:

All the the slides of the lectures are available at the course Moodle website. 
Textbooks (and optional supplementary readings) 

Binney J., Tremaine S., Galactic Dynamics. Princeton, NJ: Princeton University Press, 1987.


