Term-guided method for defining concept

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Table of contents

1 Introduction and aims 
1.1 Context and aims
1.2 Notations
1.3 The manuscript
2 Ephemeris 
2.1 The different kinds of ephemerides
2.1.1 Numerical integrations
2.1.2 Analytical theories
2.1.3 Synthetic representations
2.2 Numerical ephemerides
2.2.1 Generalities (Lainey et al. 2014)
2.2.2 Ephemeris from JPL and NOE
2.3 The ephemeris TASS
2.3.1 The theory
2.3.2 Representation of TASS
2.4 Use of theses ephemerides
3 Frequencies and synthetic representation of motion 
3.1 Integrable system, quasi-periodics series and proper frequencies
3.2 The D’Alembert rule
3.3 FA: the frequency analysis
4 Context and difficulties of the realization 
4.1 Comparison in positions and elements between TASS and JPL ephemerides
4.1.1 Comparison in positions
4.1.2 Comparison in elements
4.2 The main slope in mean longitude : N and λ0
4.3 Comparison in r between TASS and JPL
4.3.1 The periodic part r = λ − Nt − λ0
4.3.2 The comparison
4.4 Correlation of λ0 with the time span
4.4.1 λ0 of TASS
4.4.2 λ0 of JPL
4.5 Conclusion
5 Extension of the frequency analysis by the least squares met-hod 
5.1 The least squares method, term by term
5.2 Reference plane and transformation error
5.3 The least squares method for several terms
6 Test of the method with TASS over 1,000 years 
6.1 Proper frequencies
6.2 Determination of the short period and semi-long period terms
6.3 Determination of the long period terms
6.4 Conclusion
7 Results for the mean longitude of Titan 
7.1 Proper frequencies in the JPL ephemeris
7.2 Determination of the short period and semi-long period terms
7.3 Determination of the long period terms
7.4 Conclusion
8 Digitization and reduction of old astronomical plates of na-tural satellites
8.1 Background
8.2 Plates
8.3 Digitization
8.3.1 Scanner
8.4 Reduction
8.5 New observed satellite astrometric positions
8.6 Comparison with theory
8.7 Conclution
9 Conclusion 
10 Appendix 
10.1 Appendix 1