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Thesis

Numerical methods of resonant dynamics for the Galaxy

Abstract:

Numerical methods of resonant dynamics with applications to the Galaxy are considered in this thesis. We derive generating functions for first-order perturbation theory and the associated orbital frequencies by matrix calculus. For two action-angle spaces (J,θ) and (i,φ) related by a canonical map I·φ+s, we show that J can be averaged over ergodic orbits φ to provide an estimator of I to within O...

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Institution:
University of Oxford
Division:
MPLS
Role:
Author

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Role:
Supervisor
Role:
Supervisor
Publication date:
2005
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:136ae026-e3d4-4153-b124-edc8256c14c9
Local pid:
td:603849476
Source identifiers:
603849476
Deposit date:
2013-10-21

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