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PH2150 Team Project. What it’s about: practice your programming skills, learn some elements of computational physics, and learn how to get a project done as a team Your assignment and how it’s assessed: teams, project, report, talk, lab notebook Overview of the projects:

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Ph2150 team project
PH2150 Team Project

What it’s about:

practice your programming skills, learn some elements of computational physics, and learn how to get a project done as a team

Your assignment and how it’s assessed:

teams, project, report, talk, lab notebook

Overview of the projects:

planetary motion (Runge-Kutta method)

pendulum motion (Runge-Kutta method)

method of least squares (numerical minimization)

Laplace equation (relaxation method)

telescope ray tracing (Monte Carlo method)

RHUL Physics Dept.

Autumn term 2002


Project organization
Project organization

Form groups of 3 or 4 (hopefully already done...)

You will receive a script describing the project and the goals to be achieved.

Your team must:

figure out the physics/mathematics behind the problem;

implement a solution;

produce a single written report;

produce a single oral presentation.

Each student should keep a lab notebook with notes on the problems being addressed, attempted methods of solution, how the work fits into the team’s efforts, etc.

RHUL Physics Dept.

Autumn term 2002


The written report
The written report

Your group should appoint a report “editor”, but all members of the team must contribute.

It should include a discussion of:

the nature of the problem;

the algorithms you are using for its solution;

how the algorithms have been implemented;

results with illustrative plots;

discussion of limitations and possible extensions.

Include short pieces of code (or pseudo-code) in the body of the report as needed to explain your method; include all of the code as an appendix.

Grammar, spelling, style, and clarity of explanation are important.

RHUL Physics Dept.

Autumn term 2002


The oral presentation
The oral presentation

Your group should appoint a speaker and presentation editor, but as with the report, all members of the team must contribute.

Suggested mode of delivery: PowerPoint and data projector

(but feel free to explore alternatives).

Keep in mind that your fellow students will not understand the problem at the same level of detail as you do, so:

explain the nature of the problem;

the main ideas behind your solution (not the details);

illustrate your ideas with meaningful plots and graphs.

RHUL Physics Dept.

Autumn term 2002


Assessment
Assessment

Project report: 50%

Oral presentation: 15%

Lab notebook: 35%

Dates

Oral presentations: 14:00, Thursday 12th December, in T118

Written report due: Friday 13th December

RHUL Physics Dept.

Autumn term 2002


Planetary motion
Planetary motion

y

x

Newton’s laws lead to four coupled partial differential equations describing planetary orbit.

Numerical solution using Runge-Kutta method.

Explore solution with gravitation force modified by effects of general relativity, investigate precession of Mercury’s orbit.

RHUL Physics Dept.

Autumn term 2002


Pendulum motion
Pendulum motion

Find angle and angular speed numerically (Runge-Kutta method)

Investigate accuracy of solution, include driving force, chaos...

RHUL Physics Dept.

Autumn term 2002


Method of least squares
Method of least squares

Galileo’s data on projectile motion:

hd

1000 1500 828 1340 800 1328 600 1172 300 800

Test several hypotheses for relationship between d and h.

Use method of least squares to estimate parameters.

Numerical minimization.

RHUL Physics Dept.

Autumn term 2002


Laplace equation
Laplace equation

Find electrical potential in volume by defining grid, use “relaxation method”.

Plot equipotential lines, investigate different boundary conditions.

RHUL Physics Dept.

Autumn term 2002


Telescope ray tracing
Telescope ray tracing

Investigate optical aberrations in telescopes, e.g. coma:

optical axis

Generate rays with Monte Carlo method, trace through optical system.

RHUL Physics Dept.

Autumn term 2002


Teams 2002
Teams 2002

A Rebecca Smith, David Stafford, Jamie Cowdry, Simon Long

B Sofia Kallitsi, Angeliki Kiakotou, Paul Milligan, Terence Norman

C Charlotte Lacey, Dahlia Haleem, Jason Richardson

D Martyn Bryant, Rob Bennett, James McKemey

E Ian Dejong, Robin Reilly, David Neary

F Harilaos Kashouli, Andrew Morris, Salem Yateem

G Ben Yager, Kelvin Ng, George Acquah

H Sudhir Gadhok, Suraj Shah, Christina Potter


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