Actions for Precession, nutation, and wobble of the Earth
Precession, nutation, and wobble of the Earth / V. Dehant, P.M. (Sonny) Mathews
- Author
- Dehant, Véronique, 1959-
- Published
- Cambridge : Cambridge University Press, 2015.
- Physical Description
- xv, 536 pages : illustrations ; 27 cm
- Additional Creators
- Mathews, P. M. (Piravonu Mathews), 1932-
- Contents
- Machine generated contents note: 1.1.Rotation and global shape of the Earth -- 1.2.Orbit of the Earth -- 1.3.Earth orientation [—] precession and nutation -- 1.4.Primary cause of precession and nutation -- 1.5.Nutation of a non-rigid Earth -- 1.6.Models of the Earth's interior -- 1.7.Precession, nutation, and geodynamics -- 1.8.The Earth's normal modes -- 1.9.Motivation for the book -- 1.10.Organization of the book -- 2.1.Gravitational potential -- 2.2.Axes associated with Earth rotation -- 2.3.Celestial sphere, celestial poles, and equators of axes -- 2.4.Terminology for nutation -- 2.5.Normal modes -- 2.6.Wobble and sway -- 2.7.Length-of-day (LOD) variation -- 2.8.Solid Earth and ocean tides -- 2.9.Inertia tensor; principal axes and moments of inertia -- 2.10.Low and high frequency notations -- 2.11.Interplay of nutation, tides, ocean, and atmosphere -- 2.12.Remaining concepts such as fundamental reference planes -- 2.13.Sign conventions -- 2.14.Reference frames: basic aspects -- 2.15.Precession and nutation of different axes -- 2.16.Precession and nutation variables -- 2.17.Definition of polar motion -- 2.18.Elliptical motions -- 2.19.Decomposition into circular motions -- 2.20.Free rotational modes -- 2.21.Causes of the forced motions -- 2.22.Equations of rotational motion -- 2.23.Gravitational action of a celestial body on the Earth -- 2.24.Solutions for a simple model -- 2.25.Polar motion of the pole of the CRS: relation to nutation -- 2.26.Kinematical relations between wobble and nutation -- 2.27.Transfer function -- 2.28.Oppolzer terms -- 2.29.Notation used in this chapter -- 3.1.Celestial and terrestrial reference systems and frames -- 3.2.Transformations between reference frames -- 3.3.Notation used in this chapter -- 4.1.VLBI -- 4.2.Construction of the ICRF -- 4.3.GPS observations -- 4.4.Orbital motions and fundamental arguments -- 4.5.Existing ephemerides -- 4.6.Ephemerides used for the rigid Earth nutation theory -- 4.7.Other kinds of observations needed for nutation studies -- 5.1.Approaches to the determination of rigid Earth nutations -- 5.2.Hamiltonian approach -- 5.3.Earth's gravitational potential on a celestial body -- 5.4.Torque on an axially symmetric Earth -- 5.5.Tide generating potential (TGP) -- 5.6.Wobbles and nutations excited by arbitrary potentials -- 5.7.Torque in the CRF and nutation arguments -- 5.8.Nutation of the figure axis -- 5.9.Numerical integration -- 5.10.Arguments of the nutations: additional remarks -- 5.11.Orbital motions of the solar system bodies -- 5.12.Additional small effects -- 5.13.Precession constant -- 6.1.Hydrostatic equilibrium Earth models -- 6.2.Perturbing potentials -- 6.3.Deformations of a spherical Earth -- 6.4.Love numbers -- 6.5.Load Love numbers -- 6.6.Equations for displacement and gravitational fields -- 6.7.Spherical harmonic expansions; radial functions -- 6.8.The inertia tensor: contribution from deformations -- 7.1.Formulations of the theory for a non-rigid Earth -- 7.2.Idealized two-layer Earth: Poincare's theory -- 7.3.Analytical treatment of more general Earth models -- 7.4.Earth with fluid outer core and solid inner core -- 7.5.Displacement field approach -- 8.1.Complex rheological parameters for the anelastic Earth -- 8.2.Anelasticity contributions to nutation -- 9.1.Effects of the fluid layers on Earth rotation -- 9.2.Links between torque and angular momentum -- 9.3.Effect of a fluid acting on the solid Earth -- 9.4.Non-tidal ocean effects on the Earth rotation -- 10.1.Effect of a thermal conductive layer at the top of the core -- 10.2.CMB/ICB coupling effects on nutation -- 10.3.Electromagnetic coupling -- 10.4.Viscous and electromagnetic coupling -- 10.5.Topographic coupling -- 10.6.Viscosity of the inner core -- 10.7.Effect of stratification in the core -- 10.8.Discussion on precession constant -- 10.9.Triaxiality -- 10.10.Second-order effects -- 11.1.Empirical models for nutations (such as IERS96) -- 11.2.Estimation of basic Earth parameters from VLBI -- 11.3.Consideration of the ocean tide effects on nutation -- 11.4.Inclusion of anelasticity effects -- 11.5.Nutation using estimated parameters (MHB2000) -- 11.6.Free core nutation model -- 11.7.Present-day precision -- 11.8.Future decimal research -- 12.1.Definition of equator -- 12.2.Definition of equinox -- 12.3.Definition of CIP related to precession and nutations -- 12.4.Classical representations of the precession-nutation matrix -- 12.5.Definition of CIO (non-rotating origin) -- 12.6.Stellar angle -- 12.7.Link between ICRF and the ITRF involving the NRO -- 12.8.Alternative derivation of the Earth rotation angle -- 12.9.Link between ICRF and the ITRF involving CIP and NRO -- 13.1.Rotation and obliquity of Mars -- 13.2.Mars normal modes -- 13.3.Precession and nutation of Mars -- 13.4.Length-of-day variations and polar motion of Mars -- 13.5.Rotation measurements of Mars -- A.1.Rotation and infinitesimal rotations of a vector -- A.2.Rotation vector and rotation matrix -- A.3.Rotation from change of pole position -- A.4.Change in pole position -- B.1.Expression of the Earth's gravitational potential -- B.2.Equipotential surface at the first order - Clairaut's ellipsoid -- B.3.Gravity on the surface of Clairaut's ellipsoid -- C.1.Definition of ecliptic and orbital plane -- C.2.Definition of "inertial" and "rotating" equinox -- C.3.Expression in inertial frame.
- Subject(s)
- ISBN
- 9781107092549 (Hardback)
110709254X (Hardback)
9781316310359 (PDF ebook) - Bibliography Note
- Includes bibliographical references (pages 482-533) and index.
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