Open Access

Table 1

Nominal Earth–Moon and Mars–Phobos system parameters and integration settings.

Parameter Symbol Unit Earth Moon Mars Phobos
Gravitational parameter μ m3 kg−1 s−2 3.986 ∙ 1014 4.903 ∙ 1012 4.283 ∙ 1013 7.112 · 105
Unnormalised coefficients C20 −4.84 ∙ 10−4 −9.09 ∙ 10-5 −8.75 ∙ 10-4 −2.92 ∙ 10−2
C22 2.44 ∙ 10−6 3.47 • 10−5 −8.46 ∙ 10−5 1.57 ∙ 10−2
S22 0.0 0.0 0.0 0.0
Radius R km 6378.1 1737.4 3389.5 12.22

Relaxation times τ s 182 664 81 729 100 1 778 080 12 485 500
τe s 58 050 13 692 502 222 641 162 229
Equivalent tidal parameters k2 0.3 0.024059 0.152 1.3 ∙ 10−4
Q 12 37.5 79.91 37.5

Expected libration amplitude AMathematical equation: ${\cal A}$ deg 4.9 ∙ 10−3 0.43
Libration - eccentricity ratio A/eMathematical equation: ${\cal A}/e$ 1.4 ∙ 10−3 0.51

Integrator type Dormand-Prince integrator of order 8
Integration time step s 5400 5400 60 60
Propagation time days 10 000 120 000 3200 3200

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.