Free Access

Table 1

Orbital theory of Titan and solid Cassini state.

j i j Period γ j ε j f rj
(deg) (rad/year) (years) (deg) (deg)

1 0.3197 −0.00893124 −703.51 160.691 0.1199 1.38
2 0.0150 −0.00192554 −3263.07 102.230 0.0009 1.06
3 0.0129 0.42659824 14.73 292.867 −0.0120
4 0.0022 −0.21329912 −29.46 222.920 −0.0026 1.18

Notes. Columns 2 to 5: amplitudes, frequencies, periods, and phases of the orbit precession adapted from Vienne & Duriez (1995). They give the orbital precession in the equatorial plane of Saturn and used J1980 as the time origin. Here we consider the Laplace plane and J2000 time origin. The Laplace plane has a node of 184.578° and an inclination (also called tilt) of 0.6420° with respect to the equatorial plane of Saturn. Since the tilt is small, the frequency and amplitude of the orbital precession are almost the same with respect to the Laplace plane as to the equatorial plane of Saturn. The x-axis of the Laplace place is taken as the node of the Laplace plane on the equatorial plane of Saturn. The obliquity amplitudes and resonance factors (frj) of the solid Cassini state model presented in Sect. 3 are given in the last two columns.

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.