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Table of contents
1 Introduction
1.1 History of Phoebe
1.2 Chapter introduction
2 Astrometric reductions: Analysis of the catalogues used for the astrometric reduction
2.1 Introduction
2.2 Reference Systems and Frames, Fundamental Astronomy Coordinates
2.2.1 ICRS, ICRF
2.2.2 Type of the coordinates
2.2.3 Di↵erent reference systems where we get observed coordinates and general change to ICRS
2.3 Time scales
2.4 Catalogs used for reductions
2.4.1 Catalogs used for old reductions
2.4.2 Modern catalogs
2.4.3 Catalog comparison and the statistics on the used catalogues
2.5 Other corrections for astrometric reduction
3 Search and selection of published observations
3.1 Introduction
3.2 Old photographic observations
3.2.1 Observatory and telescopes
3.2.2 Di↵erent sets of observations
3.3 New observations
4 The re-reduction of old observations
4.1 Introduction
4.2 Introduction to the used method
4.3 Identifying the old reference stars in new catalogs
4.4 Choosing new catalogs and the case of no information on reference stars
4.5 Catalog bias
4.6 Result
5 A new ephemeris of Phoebe
5.1 Introduction
5.2 The numerical model
5.2.1 Perturbations
5.2.2 Equations of motion
5.2.3 Observations used to fit the dynamical model
5.2.4 Numerical integration
5.3 The frequency analysis
5.3.1 Definition of the elements
5.3.2 Developpement of quasi-periodic series
5.3.3 The principle of the fine analysis
5.3.4 Data windowing
5.3.5 The procedure of the frequencies analysis
5.3.6 Identification and synthetic representation
5.3.7 Conclusion
6 Comparisons and validation of the new ephemeris of Phoebe
6.1 Observations Comparison
6.1.1 CCD observations calibrated with di↵erent catalogs
6.1.2 Old published photographic observations and the reduced observations
6.2 Ephemeris Comparison
7 Conclusion and future work
