Gravitational Tides in the Outer Planets. I. Implications of Classical Tidal Theory
Abstract
Classical tidal theory is applied to the atmospheres of the outer planets. The tidal geopotential due to satellites of the outer planets is discussed, and the solution of Laplace's tidal equation for Hough modes appropriate to tides on the outer planets is examined. The vertical structure of tidal modes is described, noting that only relatively highorder meridional mode numbers can propagate vertically with growing amplitude. Expected magnitudes for tides in the visible atmosphere of Jupiter are discussed. The classical theory is extended to planetary interiors taking the effects of spherically and selfgravity into account. The thermodynamic structure of Jupiter is described and the WKB theory of the vertical structure equation is presented. The regions for which inertial, gravity, and acoustic oscillations are possible are delineated. The case of a planet with a neutral interior is treated, discussing the various atmospheric boundary conditions and showing that the tidal response is small.
 Publication:

The Astrophysical Journal
 Pub Date:
 March 1993
 DOI:
 10.1086/172437
 Bibcode:
 1993ApJ...406..252I
 Keywords:

 Gas Giant Planets;
 Gravitational Effects;
 Natural Satellites;
 Planetary Atmospheres;
 Planetary Orbits;
 Tides;
 Jupiter (Planet);
 Planetary Structure;
 Saturn (Planet);
 Uranus (Planet);
 PLANETS;
 OUTER PLANETS;
 GAS PLANETS;
 TIDAL EFFECTS;
 GRAVITY EFFECTS;
 THEORETICAL STUDIES;
 ATMOSPHERE;
 PERIOD;
 ROTATION;
 STRUCTURE;
 DEPTH;
 SATELLITES;
 INTERIOR;
 THERMODYNAMICS;
 STABILITY;
 OSCILLATIONS;
 ARIEL;
 CALCULATIONS;
 PARAMETERS;
 LATITUDE;
 JUPITER;
 SATURN;
 URANUS;
 TITAN;
 IO;
 NEPTUNE;
 Lunar and Planetary Exploration; Planets;
 PLANETS AND SATELLITES: GENERAL