Dynamics of Galaxies (21/22)

Faculteit Science and Engineering
Jaar 2021/22
Vakcode WMAS014-05
Vaknaam Dynamics of Galaxies (21/22)
Niveau(s) master
Voertaal Engels
Periode semester II a
Rooster rooster.rug.nl

Uitgebreide vaknaam Dynamics of galaxies (tweejaarlijks 2021/2022)
Leerdoelen Upon completion of this course, the student is able to:
1) manipulate and explain: the concept and relations between gravitational potentials and mass density distributions; the description of galactic systems in terms of distribution functions; what determines the orbits of stars in gravitational stellar systems, and how to compute these; and to synthesize how these concepts are inter-related;
2) manipulate the fundamental equations in Galactic Dynamics, how to solve simple problems (level of the questions in the lecture book) analytically and distinguish the basic assumptions;
3) write simple codes/programs (in a programming language of their own choice, but Python is preferred) that deal with several specific examples of dynamics of galaxies;
4) be able not just to code, but to describe their results and interpret them, as a way of synthesizing all the material.
Omschrijving Basic concepts: Collisionless systems, relaxation time. Potential theory: Poisson's equation, spherical systems: Newton's equations, computation of the characteristic quantities (circular velocity, potential, force); flattened en triaxial systems (relation between isodensity and isopotentials, disks). Orbits of stars in spherical potentials (eqs. of motion, periods); integrals of motion; orbits in axisymmetric potentials (eqs. of motion, surface of section, meridional plane, effective potential, epicycles); orbits in nonaxisymmetric potentials (2D rotating and non-rotating cases, box and loop orbits, resonances and weak bars). Numerical integration of orbits. Equilibrium and distribution functions: Phase-space, Collisionless Boltzmann Equation; relation between DF and observables: density, velocity DF, velocity moments, velocity ellipsoid. Jeans theorems: integrals of motion, ergodic and anisotropic DF, examples in the spherical case and relation to velocity anisotropy. Jeans equations: spherical symmetry and applications, axisymmetric case and asymmetric drift. Virial equations. Spiral galaxies.
Uren per week
Onderwijsvorm Hoorcollege (LC), Werkcollege (T)
Toetsvorm Opdracht (AST), Schriftelijk tentamen (WE)
(written exam and graded exercises)
Vaksoort master
Coördinator prof. dr. A. Helmi
Docent(en) prof. dr. A. Helmi
Verplichte literatuur
Titel Auteur ISBN Prijs
Galactic Dynamics J. Binney and S. Tremaine, Princeton University Press 0691084459
lecture notes

This course was registered last year with course code STGALDYNE5
Opgenomen in
Opleiding Jaar Periode Type
MSc Astronomy: Quantum Universe  (Astrophysics Core Courses) - semester II a keuze
MSc Astronomy: Science, Business and Policy  (Astrophysics Core Cours) - semester II a keuze
MSc Courses for Exchange Students: Astronomy - Physics - Energy & Environment - semester II a
MSc Mathematics and Physics (double degree)  (Optional Courses Quantum Universe (10 ects)) - semester II a keuze
MSc Physics: Quantum Universe  ( Keuzevakken in Astrophysics) - semester II a keuze: AP
Tweejaarlijkse vakken  (Oneven jaren) - semester II a -