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Universität Augsburg
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Universität Augsburg
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Cengiz Aydin
Universität Augsburg
spricht am
Mittwoch, 30. Januar 2019
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14:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| Astronomical observations of our moon - the companion of our earth - date back to the Babylonian until 1600 BCE. The Babylonian lunar periods are 29.53 days for the synodic, 27.55 days for the anomalistic and 27.21 days for the draconitic month. Are these periods calculable? Approximately, yes. One of the goals of this master thesis is to compute the periods of our moon by the language of symplectic geometry. This is run in the spatial Hill's lunar problem, which is a limit case of the circular planar restricted three body problem. Furthermore other direct and retrograde periodic orbits in the spatial Hill's lunar problem are numerically studied, if they are planar as well as spatial elliptic or hyperbolic. For the elliptic case the anomalistic and draconitic months are calculated through the Floquet Multipliers. A new development is the splitting theorem which enables to compute the spatial direction separately from the planar. Moreover, historically there is a very interesting point between the lunar theory of the Islamic scientist Ibn ash-Shatir (1305-1375) and Copernicus (1473-1543) since the discovery of Ibn ash-Shatir's work by Neugebauer and Kennedy in 1957. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Urs Frauenfelder |