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A talk by Dr Maciej Capiński
| What | School Events Meeting Seminar |
|---|---|
| When |
2009-02-03 from 12:15 to 13:00 |
| Where | Seminar Room (4-01), School of Mathematical Sciences, Block H1, 4th floor |
| Contact Name | Professor Jacek Banasiak |
| Contact Email | banasiak@ukzn.ac.za |
| Attendees | All members of the school are invited |
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Detection of center manifolds and applications to space mission design by Dr Maciej Capiński (AGH University of Science and Technology, Kraków)
SCHOOL OF MATHEMATICAL SCIENCES SEMINAR
The School of Mathematical Sciences invites you for the seminar:
Detection of center manifolds and applications to space mission design
by
Dr Maciej Capiński (AGH University of Science and Technology, Kraków)
Normally hyperbolic invariant manifolds (NHIMs) are typical structures in Hamiltonian dynamics. The most typical examples are invariant tori around saddle x center type fixed points. NHIMs can be used for space mission design. The easiest example of such use is the positioning of satellites between the earth and the sun, for early warning systems against sun-storms. Such satellites are positioned on NHIMSs.
NHIMs are also used as transfer regions for spaceships traveling to other planets of the solar system. In this presentation we first discuss such applications. We then present a new topological proof of the existence of normally hyperbolic invariant manifolds. The required assumptions will be formulated in a way which allows for rigorous computer assisted verification. They will also not require the system to be a perturbation of a canonical system for which we already have an invariant manifold (as is in the case, and is the main weakness, of the standard approach).
Time: Tuesday, 3rd of February, 12:15-13:00
Venue: Seminar Room (4-01), School of Mathematical Sciences, Block H1, 4th floor