On the history of the lunar orbit

Details On the history of the lunar orbit On the history of the lunar orbit

Sep 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982icar...51..610c&link_type=abstract

Icarus, vol. 51, Sept. 1982, p. 610-622.

Mathematics

Logic

5

Astronomical Models, Earth Orbits, Earth-Moon System, Orbital Elements, Tides, Angular Momentum, Angular Velocity, Eccentric Orbits, Histories, Precession, Roche Limit

Scientific paper

A frequency-dependent model of tidal friction is used in the determination of the time rate of change of the lunar orbital elements and the angular velocity of the earth. The variational equations consider eccentricity, the solar tide on the earth, earth oblateness, and higher-order terms in the earth's tidal potential. A linearized solution of the equations governing the precession of the earth's rotational angular momentum and the lunar ascending node is found. This allows the analytical averaging of the variational equations over the period of relative precession which, though large, is necessarily small in comparison to the time step of the numerical integrator that yields the system history over geological time. Results for this history are presented and are identified as consistent with origin of the moon by capture. This model may be applied to any planet-satellite system where evolution under tidal friction is of interest.

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