Module Details |
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
Title | ELEMENTS OF STELLAR DYNAMICS | ||
Code | PHYS484 | ||
Coordinator |
Dr W Maciejewski Physics W.Maciejewski@liverpool.ac.uk |
||
Year | CATS Level | Semester | CATS Value |
Session 2022-23 | Level 7 FHEQ | Second Semester | 7.5 |
Aims |
|
To show that there is more to gravity than Newton's law. This will provide the students with a basic understanding of the dynamics of systems containing millions and billions of point-like gravitating bodies: stars in stellar clusters and galaxies. |
Learning Outcomes |
|
(LO1) At the end of the module the student should have the ability to show how dynamical processes shape the structure of galaxies and stellar clusters |
|
(LO2) Describe the motion of stars in stellar systems |
|
(LO3) Apply orbital analysis to stellar systems |
|
(LO4) Demonstrate an understanding of the implications of the continuity equation |
|
(S1) Problem solving skills |
Syllabus |
|
Introduction: Collisionless and collisional stellar systems. Relaxation time. Describing motion of 100 billion stars in a galaxy and 100 thousand stars in a Globular Cluster. Stellar orbits in gravitational potentials: Newton's law applied to distributed mass. Newton's theorems for spherical systems. Potential of a disk. Circular velocity. Escape speed. Orbits in spherically symmetric, axisymmetric and elongated potentials. Keplerian potential. Integrals of the motion. Continuity equation applied to an ensemble of stars: Phase-space. Distribution function as phase-space density. The collisionless Boltzmann equation. The Jeans theorem. Isothermal sphere. The Jeans equations. Velocity ellipsoid. Formation and evolution of galaxies: Dynamical friction. Violent relaxation. Phase mixing. Encounters in collisional systems: Thermodynamics of collisional systems - negative heat capacity. Evolution of Globular Clusters. |
Teaching and Learning Strategies |
|
Teaching Method 1 - – Lecture All lecture notes made available from beginning of module via VLE. All lectures are recorded, and can be streamed by the students via the VLE within 1 day of the lecture. Teaching Method 2 - Tutorial All problem sets, whether formative or summative, are made available via VLE on Monday of the week in which they are due. Model solutions to the summative problems are released 1 week after deadline, via VLE. |
Teaching Schedule |
Lectures | Seminars | Tutorials | Lab Practicals | Fieldwork Placement | Other | TOTAL | |
Study Hours |
14 |
6 |
20 | ||||
Timetable (if known) | |||||||
Private Study | 55 | ||||||
TOTAL HOURS | 75 |
Assessment |
||||||
EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
formal examination | 120 | 80 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Problem sets | 0 | 20 |
Recommended Texts |
|
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. |