Complutense University Library

Corrections and new developments in rigid earth nutation theory - III. Final tables "REN-2000" including crossed-nutation and spin-orbit coupling effects


Souchay, J. and Loysel, B. and Kinoshita, H. and Folgueira, Marta (1999) Corrections and new developments in rigid earth nutation theory - III. Final tables "REN-2000" including crossed-nutation and spin-orbit coupling effects. Astronomy & Astrophysics. Supplement Series, 135 . pp. 111-131. ISSN 0365-0138

[img] PDF
Restringido a Repository staff only hasta 2020.


Official URL:


We present here the new tables REN-2000 of the nutation for a rigid Earth model, starting from Hamiltonian theory, with a level of truncature at 0.1 mu as for individual coefficients instead of 5 mu as (Kinoshita & Souchay 1990). For this presentation to be achieved we first carry out the calculations of the second-order effects due to crossed-nutations and spin-orbit coupling, at the same level of truncation as above. This paper is the third and last one in the frame of the complete reconstruction of the theory of the rigid Earth nutation. It is the complementary part to previous studies concerning the luni-solar nutation involving indirect planetary effects (Souchay & Kinoshita 1996), and the influence of the second-order geopotential (J(3), J(4)) and of the direct planetary effect (Souchay & Kinoshita 1997). Quasi-diurnal and sub-diurnal nutations coming from the harmonics of degree 2, 3 and 4 of the geopotential are also included in REN-2000, their values being taken from Folgueira et al. (1998a,b). A presentation of the series REN-2000 is done at the end of the paper, with separated informations for each contribution.

Item Type:Article
Uncontrolled Keywords:Reference systems, earth
Subjects:Sciences > Mathematics > Astronomy
ID Code:15398

Aoki S., Guinot B., Kaplan G., et al., 1982, A&A 105, 239

Bretagnon P., Francou G., 1988, A&A 202, 309

Bretagnon P., Rocher P., Simon J.L., 1997, A&A 319, 305

Broucke R.A., 1980, \A Fortran-4 System for the Manipulation of Symbolic Poisson Series With application to Celestial Mechanics", Inst. for Adv., Studies in Orbital Mechanics,Univ. Texas

Chapront-Touze M., Chapront J., 1988, A&A 190, 342

Charlot P., Sovers O.J., Williams J.G., Newhall X.X.,1995,AJ 109, 418

Folgueira M., Souchay J., Kinoshita H., 1998a, Celest. Mech. 69, 373

Folgueira M., Souchay J., Kinoshita H., 1998b, Celest. Mech.,acc.

Hartmann T., Soel M., 1994, AJ 108, 1115

Hartmann T., Wenzel H.G., 1995, Geophys. Res. Lett. 22, 3553

Hartmann T., Williams J.G., Soel M., 1996, AJ 111, 1400

Herring T.A., Buet B.A., Mathews P.M., Shapiro I.I., 1991,J. Geophys. Res. 96, 8259

Kinoshita H., 1977, Celest. Mech. 15, 277

Kinoshita H., Souchay J., 1990, Celest. Mech. 48, 187

Kubo Y., 1982, Celest. Mech. 26, 96

Kubo Y., Fukushima T., 1988, in: The Earth's Rotation and Reference Frames for Geodesy and geodynamics, Babcock A.K. and Wilkins G.A. (eds.)

Lieske J.H., Lederle T., Fricke W., Morando B., 1977, A&A 58, 1

Mc. Carthy D.D., 1992, IERS Standards, 1992, IERS Technical

Note 13. Observatoire de Paris

Miyamoto M., Soma M., 1993, AJ 105, 1

Roosbeek F., Dehant V., 1997, Celest. Mech. (in press)

Schastok J., Soel M., Ruder H., 1989, Celest. Mech. 47, 219

Seidelmann P.K., 1982, Celest. Mech. 27, 79

Simon J.L., Bretagnon P., Chapront J., et al., 1994, A&A 282,663

Souchay J., 1998, AJ 116, 503

Souchay J., Kinoshita H., 1991, Celest. Mech. 52, 45

Souchay J., Kinoshita H., 1996, A&A 312, 1017

Souchay J., Kinoshita H., 1997, A&A 318, 639

Steppe J.A., Oliveau S.H., Sovers O.J., 1994, in: IERS Annual Report, IERS technical Note 17, R-19

Williams J.G., Newhall X.X., Dickey J.O., 1993, in: Smith D.E., Turcotte D.L. (eds.) contributions of Space Geodesy to Geodynamics: Earth Dynamics, Geophysical Monograph of the American Geophysical Union, Vol. 24, Washington DC, p. 83

Williams J.G., 1994, AJ 108,711

Williams J.G., 1995, AJ 110, 1420

Woolard E.W., 1953, Theory of the Rotation of the Earth around its Center of Mass, Astron. Pap. Am. Ephemeris,Vol. 15, Part 1, Washington: GPO

Zhu S.Y., Groten E., 1989, AJ 98, 1104

Deposited On:29 May 2012 10:16
Last Modified:06 Feb 2014 10:23

Repository Staff Only: item control page