Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011dda....42.0202y&link_type=abstract
American Astronomical Society, DDA meeting #42, #2.02; Bulletin of the American Astronomical Society, Vol. 43, 2011
Astronomy and Astrophysics
Astronomy
Scientific paper
In a perfect system, the Laplace plane is the plane about which the orbital inclination remains constant throughout the precessional cycle. For Mercury, knowing this plane is important because the Cassini state and the equilibrium obliquity refer to it.
We define a generalized Laplace plane based on geometrical considerations. The Laplace plane of a regular motion is deduced from the previous definition by adding dynamical constraints of constant inclination and regular precession around a fixed axis. A comparison to the simplified model of the secular potential is given.
Then we apply it to the true orbit of Mercury and compare different values (Yseboodt and Margot 2006, D'Hoedt et al 2009). We show that the equilibrium obliquity of the Cassini state and the related moment of inertia value change by less that 0.1% due to the uncertainty on this plane.
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