Title: PH2150 Team Project
1PH2150 Team Project
What its 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 its
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
2Project 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 teams
efforts, etc.
RHUL Physics Dept. Autumn term 2002
3The 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
4The 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
5Assessment
Project report 50 Oral presentation 15 Lab
notebook 35
Dates
Oral presentations 1400, Thursday 12th
December, in T118 Written report due
Friday 13th December
RHUL Physics Dept. Autumn term 2002
6Planetary motion
y
x
Newtons 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 Mercurys orbit.
RHUL Physics Dept. Autumn term 2002
7Pendulum motion
Find angle and angular speed numerically
(Runge-Kutta method) Investigate accuracy of
solution, include driving force, chaos...
RHUL Physics Dept. Autumn term 2002
8Method of least squares
Galileos data on projectile motion h
d 1000 1500 828 1340 800 1328 600 1172 30
0 800
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
9Laplace 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
10Telescope 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
11Teams 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