Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985jgr....90.6887v&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 90, July 10, 1985, p. 6887-6892.
Astronomy and Astrophysics
Astronomy
1
Astrodynamics, Earth-Moon System, Lunar Orbits, Orbital Mechanics, Viscoelasticity, Angular Velocity, Equations Of Motion, Incompressibility, Tides
Scientific paper
The equations of motion for a system of two deformable bodies are analyzed with a view toward describing orbital evolution. These bodies are modeled as incompressible, viscoelastic solids. The mean tidal moment exerted by each body in a slightly eccentric orbit is obtained directly from the deformation induced by gravitational attraction. The corresponding orbital evolution is described analytically by determining a slowly varying solution to the equations of motion. Results for the earth-moon system indicate that the mean orbital angular velocity is decreasing more rapidly at present than in the distant past. This change in the angular velocity rate suggests a possible resolution of the time-scale problem for lunar orbital evolution.
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