Table 1
Values used for the physical constants of the problem.
| Quantity | Value |
|---|---|
 |
4.5413 au5 yr−2 |
 |
2037.2597 au7yr−2 |
 |
7.0706 × 10−16 yr−2 |
 |
5.6530 × 10−15 yr−2 |
| ψ | 1.05048854 rad |
Notes.The planetary elements come from the theory of Bretagnon (1982), the galactic constants
and
are taken from Fouchard (2004), and the inclination of the ecliptic is obtained from Murray (1989). Even though it is quite old, the theory of Bretagnon (1982) has the advantage of directly giving the secular component of the planetary dynamics. Since it is semi-analytical, this theory is also expected to be more robust than numerical ephemerides when considering very long timescales.
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