Tides on the Moon: Theory and determination of dissipation

@article{Williams2015TidesOT,
  title={Tides on the Moon: Theory and determination of dissipation},
  author={James G. Williams and Dale H. Boggs},
  journal={Journal of Geophysical Research: Planets},
  year={2015},
  volume={120},
  pages={689 - 724}
}
Solid body tides on the Moon vary by about ±0.1 m each month. In addition to changes in shape, the Moon's gravity field and orientation in space are affected by tides. The tidal expressions for an elastic sphere are compact, but dissipation introduces modifications that depend on the forcing period. Consequently, a Fourier representation of the tide‐raising potential is needed. A mathematical model for the distortion‐caused tidal potential may be used for the analysis of precise spacecraft… 

SOLID BODY TIDES IN THE DYNAMICAL MODEL OF THE MOON

The dynamical model of the orbital-rotational motion of the Moon, used in numerically integrated lunar ephemeris, accounts for tidal dissipation. However, it does not explain some long-term

Viscoelastic Relaxation within the Moon and the Phase Lead of Its Cassini State

Analyses of Lunar Laser Ranging data show that the spin symmetry axis of the Moon is ahead of its expected Cassini state by an angle of ϕp = 0.27 arcsec. This indicates the presence of one or more

Secular tidal changes in lunar orbit and Earth rotation

Small tidal forces in the Earth–Moon system cause detectable changes in the orbit. Tidal energy dissipation causes secular rates in the lunar mean motion n, semimajor axis a, and eccentricity e.

Planetary Tides: Theories

Synthetic presentation of planetary tide theories in the simple case of a homogeneous primary rotating around an axis orthogonal to the orbital plane of the companion. The considered theories are

Tidal evolution of the Moon from a high-obliquity, high-angular-momentum Earth

It is shown that tidal dissipation due to lunar obliquity was an important effect during the Moon’s tidal evolution, and the lunar inclination in the past must have been very large, defying theoretical explanations.

Analysis of analytical and numerical dynamic lunar ephemerides

This work considers the analysis of libration dynamics of the planets’ moons. To study such processes, it is necessary to use methods for investigating complex systems, as an influence from

Forced libration of tidally synchronized planets and moons

Tidal dissipation of kinetic energy, when it is strong enough, tends to synchronize the rotation of planets and moons with the mean orbital motion, or drive it into long-term stable spin-orbit

Physical Libration of the Moon: An Extended Problem

Abstract The work is devoted to the study of the physical libration of the Moon. Interest in the traditional topic related to the rotation of the Moon is stirred up by the activity of many countries

Gravity , geodesy and tides Tidally forced turbulence in planetary interiors A .

S U M M A R Y The turbulence generated in the liquid metal cores and subsurface oceans of planetary bodies may be due to the role of mechanical forcing through precession/nutation, libration, tidal
...

References

SHOWING 1-10 OF 114 REFERENCES

Theoretical tides on a rigid, spherical moon

The recent development of seismographs for use on the moon having sufficient sensitivity at long periods to tidal tilts and changes in gravitational acceleration makes possible the determination of

Lunar rotational dissipation in solid body and molten core

Analyses of Lunar Laser ranges show a displacement in direction of the Moon's pole of rotation which indicates that strong dissipation is acting on the rotation. Two possible sources of dissipation

The free librations of a dissipative Moon

  • C. F. Yoder
  • Physics
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
  • 1981
Dissipation in the Moon produces a small offset, ca. 0.23", of the Moon's rotation axis from the plane defined by the ecliptic and lunar orbit normals. Both solid body tidal friction and viscous

An analysis of the lunar tides

The purpose of this analysis was to determine what information may be deduced about the moon's interior from a measurement of the lunar gravitational tide. Three aspects of the problem were

Detection of tidal dissipation in the solid Earth by satellite tracking and altimetry

THE rate at which tidal energy is dissipated in the solid Earth can constrain the anelastic properties of the Earth at frequencies much lower than those accessible with seismology. The dissipative

Tides in Planetary Systems

The Solar system is the seat of many interactions between the Sun, the planets and their natural satellites. Moreover, since 1995, a large number of extrasolar planetary systems has been discovered

Some effects of elasticity on lunar rotation

A general Hamiltonian for a rotating Moon in the field of the Earth is expanded in terms of parameters orienting the spin angular momentum relative to the pricipal axes of the Moon and relative to

Constraints on Energy Dissipation in the Earth's Body Tide from Satellite Tracking and Altimetry

The phase lag by which the earth's body tide follows the tidal potential is estimated for the principal lunar semidiurnal tide M(sub 2). The estimate results from combining recent tidal solutions
...