TIDAL EVOLUTION IN THE MOTION OF DEFORMAB LE CELESTIAL BODIES

The effects of tidal evolution on the motion of planets and satellites are examined, treating planets as elastic solid bodies in which energ y dissipation occurs through deformations. The elastic medium is assum ed to obey linear viscosity-elasticity theory. The investigation metho d combines modal analysis and small-parameter methods. The tidal evolu tion for the rotational motions of a viscous, elastic, axisymmetric pl anet is analyzed in detail. The spatial evolution of a deformable plan et-satellite system in the field of a gravitating center is examined. This article is dedicated to the memory of Evgenii Petrovich Aksenov.