Module PHYS4201: THEORETICAL ASTRONOMY

Department: PHYSICS

PHYS4201: THEORETICAL ASTRONOMY

Prerequisites

• Foundations of Physics 3 (PHYS3522).

Corequisites

• None.

Excluded Combination of Modules

• General Relativity (MATH4051).

Aims

• This module is designed primarily for students studying Department of Physics or Natural Sciences degree programmes.
• It builds on the Level 3 module Foundations of Physics 3 (PHYS3522) and provides a working knowledge of the foundations of general relativity and its experimental tests, and the foundations of hydrodynamics and their applications in astronomy at an advanced level appropriate to Level 4 physics students.

Content

• The syllabus contains:
• General Relativity: inertial frames and the principle of equivalence. Tensors and tensor algebra. Tensor derivatives and Christoffel symbols for curved spacetime. Geodesic paths and the Euler–Lagrange equations. Newtonian gravity from free fall paths in the weak field limit. Riemann curvature tensor. Energy-momentum tensor and its conservation laws. Ricci tensor and the Einstein equations.
• Experimental tests of general relativity: Schwarzschild metric. Weak field limits for particle and photon paths. Precession of the perihelion of Mercury and lightbending around the Sun. Gravitational redshift. Black holes and event horizons.
• Hydrodynamics: Lagrangian particle paths. Euler equation of motion. Bernoulli equation. Circulation, Helmholtz theorem, Kelvin's circulation theorem. Viscosity. Navier–Stokes equations. Boundary layer. Aerofoils. Circulation Theory of aerofoil lift.
• Astrophysical Fluids: compressible fluids, sound waves. Sub and supersonic motion, Mach number, 1-D shock waves. Star formation. Physics of accretion flows. Bondi accretion.

Learning Outcomes

• Having studied this module students will be aware of the principles of general relativity and be able to apply them to the simplest gravitational systems.
• They will be familiar with the basic equations of hydrodynamics and their application to a range of problems including star formation and accretion.

• In addition to the aqusition of subject knowledge, students will be able to apply knowledge of specialist topics in physics to the solution of advanced problems.
• They will know how to produce a well-structured solution, with clearly-explained reasoning and appropriate presentation.

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

• Teaching will be by lectures and learning support sessions.
• The lectures provide the means to give a concise, focused presentation of the subject matter of the module.
• The lecture material will be explicitly linked to the contents of recommended textbooks for the module, thus making clear where students can begin private study.
• When appropriate, lectures will also be supported by the distribution of written material, or by information and relevant links on DUO.
• Regular problem exercises will give students the chance to develop their theoretical understanding and problem solving skills.
• Students will be able to obtain further help in their studies by approaching their lecturers, either after lectures or at mutually convenient times.
• Student performance will be summatively assessed through an examination and regular problem exercises.
• The examination and problem exercises will provide the means for students to demonstrate the acqusition of subject knowledge and the development of their problem- solving skills.
• The problem exercises and learning support sessions provide opportunities for feedback, for students to gauge their progress and for staff to monitor progress throughout the duration of the module.

Teaching Methods and Learning Hours

Summative Assessment

Formative Assessment:

Learning support sessions and problems solved therein.

■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University