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cds140b-project-intro

cds140b-project-intro - CDS 140b Final Project Introduction...

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CDS 140b Final Project Introduction Shane Ross, TA February 2, 2004 This handout is meant to introduce you to the final projects, which are due at the end of the term in place of a final exam. I will go over the steps in more detail as part of Thursday’s lecture, February 5th. Introduction The goal of the final project is to give you some familiarity with applying the methods you are learning in this class to some physical problems of practical interest, which have a phase space dimension of four. The main goal is to find periodic orbits around equilibrium points in these systems, along with the local and global dynamics associated with these orbits. The two example problems you can choose between come from the fields of atomic physics and planetary science, respectively: (Atomic physics) Dynamics of the Rydberg atom (Planetary science) Dynamics of a binary asteroid pair The dynamical equations describing each problem are a function of only one parameter. The problems are described in more detail later. Questions to Address Your assignment is to write a report in T E X(preferred) or by hand addressing some questions about these systems, showing your procedure and calculations. As part of the project, you will need to do some numerical computations using, for example, Matlab. The questions you will need to address are summarized in the following steps. We hope that everyone can perform steps 1, 2, 3, and hopefully 4. Attempt step 5 if you can. A Matlab software package is available for steps 3, 4, and 5. The Matlab software was originally designed for another dynamical system and will be given as an example (which you will need to modify).
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