[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5303/JKAS.2007.40.2.049

HAMILTONIAN OF A SECOND ORDER TWO-LAYER EARTH MODEL

Selim, H.H. (National Research Institute of Astronomy and Geophysics)

Publication Information

Journal of The Korean Astronomical Society / v.40, no.2, 2007 , pp. 49-60 More about this Journal

Abstract

This paper deals with the theory for rotational motion of a two-layer Earth model (an inelastic mantle and liquid core) including the dissipation in the mantle-core boundary(CMB) along with tidal effects produced by Moon and Sun. An analytical solution being derived using Hori's perturbation technique at a second order Hamiltonian. Numerical nutation series will be deduced from the theory.

Keywords

Earth's rotation; nutation series; celestial mechanics;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)

Reference

1	Kinoshita, H., 1977, Theory of General Perturbation with Unspecified Canonical Variable, Celest. Mech. Dyn. Astron., 15, 277 DOI
2	Smith, M. L. & Dahlen, A., 1981, The period and Q of the Chandler wobble, Geophys. J. RAS., 64, 223
3	Kinoshita, H. & Souchay, J., 1990, The theory of the nutation for the rigid earth model at the second orderCelest. Mech. Dyn. Astron., 48, 187 DOI
4	Selim, H. H., 2004, NRIAG J. of Astron. and Astrophys., Special Isssue, 275
5	Souchay, J., Loysel, B., Kinoshita, H., & Folgueira, M., 1999, Corrections and new developments in rigid earth nutation theory. III. Final tables 'REN-2000' including crossed-nutation and spin-orbit coupling effects, A&AS, 135, 111 DOI ScienceOn
6	Takeuchi, H., 1951, Trans. Am. Geophys. Union, 31, 651
7	Wang, G.-Y., 1975, J. Geophys. Res., 77, 4318
8	Ferrandiz, J. M., Navaro, J. F., Alberto E., & Getino, G., 2004, Precession of the Nonrigid Earth: Effect of the Fluid Outer Core, AJ, 128, 1407 DOI ScienceOn
9	Allen, C. W., 2000, Astrophysical Quantities, 4th, ed., Ed. by Arthur N. Cox, Springer
10	Backus, G. E., 1988, Comparing hard and soft prior bounds in geophysical inverse problems, Geophys. J., 93, 413 DOI
11	Barnes, R. T. H., Hide, R. White, A. A., & Wilson, C. A., 1983, Proc. Roy. Soc. London A387, 31
12	Folgueira, M., Souchay, J., & Kinoshita, H., 1998, Effects on the nutation of $C_{4,m}\;and\;S_{4,m}$ Harmonics, Celest. Mech. Dyn. Astron., 70, 147 DOI ScienceOn
13	Bodri, B., & Bodri, L. 1977, Dynamic effect of the liquid core on diurnal earth tides, Int. Sym. on Geodesy and Physics of the Earth, Proceedings. Part 2. (A78-36051 14-42) Potsdam, Deutsche Akademie der Wissenschaften, Zentralinstitut fuer Physik der Erde p441
14	Bretagnon, P., Rocher, H., & Simon, J. L., 1997, Theory of the rotation of the rigid Earth, A&Ap, 319, 305
15	Dehant, V., & Zschau, J., 1989, Geophys. J., 97, 549 DOI
16	Getino, J., & Ferrandiz, J. M., 2001, Forced nutations of a two-layer Earth model, MNRAS, 322, 785 DOI ScienceOn
17	Gilbert, J. F., & Dziewonski, A. M., 1975, Application of Normal Mode Theory to the Retrieval of Structural Parameters and Source Mechanisms from Seismic Spectra, Phil. Trans. Roy. Soc., 278, 187 DOI
18	Hansen, U., Stemmer, K., 2006, American Geophys. Union, U41A
19	Hori, G., 1966, Theory of General Perturbation with Unspecified Canonical Variable, PASJ, 18, 287