On models of Mars' interior and amplitudes of forced nutations. 2. The effects of liquid core and mantle elasticity

Physics of the Earth and Planetary Interiors

Volumn 172, Issue 3-4, 2009, Pages 335-344

  Molodensky, S M ^a   Zharkov, V N ^a   Gudkova, T V ^a  

^a SCHMIDT INSTITUTE OF PHYSICS OF THE EARTH   (Russian Federation)

Author keywords

Forced nutations; Free core nutations; Mars

Indexed keywords

CAVITY RESONATORS; COLLOIDS; ELASTICITY;

ABSOLUTE VALUES; ANNUAL COMPONENTS; FORCED NUTATIONS; FREE CORE NUTATIONS; INTERNAL STRUCTURES; LIQUID CORES; LONG TIMES; MARS; MARTIAN MANTLES; NUMERICAL MODELING; SHEAR STRESS RELAXATIONS;

MATHEMATICAL MODELS;

AMPLITUDE; MANTLE; MARS; NUMERICAL MODEL; NUTATION; RHEOLOGY; SHEAR STRESS;

EID: 57849138511     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2008.10.008     Document Type: Article

References (23)

1. Aldridge K.D. Axisymmetric inertial oscillations of a fluid in a rotating spherical shell. Mathematica 19 (1972) 163-168
2. Buhholz A. The Theoretical Mechanics, Part 2 (1938), Leningrad, Moscow p. 736
3. De Vries D., and Wahr J. The effect of the solid inner core and nonhydrostatic structure on the Earth's forced nutations and Earth tides. J. Geophys. Res. 96 (1991) 8275-8293
4. Dehant, V., 1987. Core undertones in an elliptical uniformly rotating Earth. In: Smylie, D.E., Hide, R. (eds.), Geophysical Monograph 46 IUGG v. 1 Structure and Dynamics of Earth's Deep Interior, pp. 29-34.
5. Groten E., Molodensky S.M., and Zharkov V.N. On the theory of Mars' forced nutation. Astron. J. 111 (1996) 1388-1399
6. Jeffreys H. On some difficulties in the theory of nutation. Geophys. J. R. Astron. Soc. 54 (1978) 711-712
7. Lamb H. Hydrodynamics. 6th ed. (1932), Cambridge University Press p. 738
8. Mathews P.M., and Shapiro I.I. Nutations of the Earth. Ann. Rev. Earth Plan. Sci. 20 (1992)
9. Mathews P.M., Buffett B.A., Herring T.A., and Shapiro I.I. Forced nutations of the Earth: influence of inner core dynamics. II. Numerical results and comparisons. J. Geophys. Res. 96 (1991) 8243-8257
10. Molodensky S.M. On the effects of the inertia ellipsoid triaxiality in the theory of nutation. Russ. J. Earth Sci. 1 (1999) 51-58
11. Molodensky S.M., and Groten E. On the dynamical effects of an inhomogeneous liquid core in the theory of nutation. J. Geodesy 72 (1998) 385-403
12. Molodensky S.M., and Sasao T. A new approach to the theory of the Earth's nutation. I. Basic equations. Phys. Solid Earth 12 (1995) 24-38
13. Molodensky S.M., and Sasao T. A new approach to the theory of the Earth's nutation. 2. Numerical results. Phys. Solid Earth 12 (1995) 39-48
14. Munk W., and McDonald G. Rotation of the Earth (1964), Nauka, Moscow p. 547
15. Roosbeck J. Analytical developments of rigid Mars nutation and tide generating potential series. Celest. Mech. Dynamical Astron. 75 (2000) 285-300
16. Sasao T.S., Okubo S., and Saito M. A simple theory of dynamically effects of stratified fluid core upon nutational motion of the Earth. In: Fedorov E., Smith M., Bender P., and Reidel D. (Eds). Proceedings of the IAU Symposium, vol. 78, Nutation and the Earth's rotation, Hingham, Mass (1980)
17. Smith M.L. The scalar equations of infinitesimal elastic-gravitational motions for a rotating, slightly elliptical Earth. Geophys. J. R. Astron. Soc. 37 (1974) 491-526
18. Sohl F., and Spohn T. The interior structure of Mars: implications from SNC meteorites. J. Geophys. Res. 102 (1997) 1613-1635
19. Stewartson K., and Rickard J.R.A. Pathological oscillations of rotating fluid. J. Fluid Mech. 35 (1969) 759-773
20. Wahr J. The forced nutations of an elliptical, rotating, elastic and oceanless Earth. Geophys. J. R. Astron. Soc. 64 (1981) 705-727
21. Wahr J. A normal mode expansion for the forced response of a rotating Earth. Geophys. J. R. Astron. Soc. 64 (1981) 651-675
22. Wahr J. Body tides on an elliptical, rotating, elastic and oceanless Earth. Geophys. J. R. Astron. Soc. 64 (1981) 677-703
23. Zharkov V.N., Gudkova T.V., and Molodensky S.M. On models of Mars' interior and amplitudes of forced nutations. 1. The effects of deviation of Mars from its equilibrium state on the flattening of the core-mantle boundary. PEPI 172 (2009) 324-334