The Laplace plane of Mercury

Details The Laplace plane of Mercury The Laplace plane of Mercury

Oct 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011epsc.conf..996y&link_type=abstract

EPSC-DPS Joint Meeting 2011, held 2-7 October 2011 in Nantes, France. http://meetings.copernicus.org/epsc-dps2011, p.996

Computer Science

Scientific paper

In a perfect system, the Laplace plane (LP) is the plane about which the orbital inclination remains constant throughout the precessional cycle. It can be viewed as the "mean orbital plane". For Mercury, knowing this plane is important because the Cassini state and the equilibrium obliquity refer to it. We define a general Laplace plane based on geometrical considerations. The Laplace plane for 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 LP estimations.

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