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Earth rotation based on the celestial coordinates of the celestial intermediate pole - I. The dynamical equations

Capitaine, N. and Folgueira, Marta and Souchay, J. (2006) Earth rotation based on the celestial coordinates of the celestial intermediate pole - I. The dynamical equations. Astronomy & Astrophysics, 445 (1). pp. 347-360. ISSN 0004-6361

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Abstract

We present a study of the Earth's rotational motion in terms of the Earth Orientation Parameters (EOP) of the new paradigm that is recommended by the IAU 2000 resolutions to transform between the celestial and terrestrial reference systems. This paper presents the first part of the study whose purpose is to establish the dynamical equations of the rotation of a rigid Earth as a function of these new parameters. Starting from Euler dynamical equations for a rigid Earth, and using expressions for the components of the instantaneous rotation vector as functions of the celestial coordinates X, Y of the Celestial intermediate pole (CIP) and of the Earth rotation angle (ERA), the equations of Earth rotation were obtained explicitly in terms of those parameters. Taking into account the order of magnitude of the terms of these equations, we obtain the most appropriate form of the equations for a practical integration. We then investigated the possible methods of integration for providing semi-analytical solutions for the X and Y variables in the axially symmetric case. We also perform a number of tests regarding the efficiency of these methods, based on the IAU 2000 precession-nutation. We extended this approach to a deformable Earth, based on integration constants compliant with the new P03 precession model.


Item Type:Article
Uncontrolled Keywords:Astrometry – reference systems – ephemerides – times – celestial mechanics
Subjects:Sciences > Mathematics > Astronomy
ID Code:15348
References:

Bourda, G., & Capitaine, N. 2004, A&A, 428, 691

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

Brzezinski, A., & Capitaine, N. 1993, J. Geophys. Res. 98(B4), 6667

Capitaine, N. 1990, Celest. Mech., 48, 127

Capitaine, N. 2000, in Towards Models and Constants for Sub-

Microarcsecond astrometry, ed. K. J. Johnston, D. D. McCarthy, B. Luzum, & G. Kaplan, USNO, 153

Capitaine, N. 2002, in Proc. IERS Workshop, Paris, ed. N.

Capitaine et al., Frankfurt am Main: Verlag des Bundesamts für Kartographie und Geodäsie, 35

Capitaine, N., Guinot, B., & Souchay, J. 1986, Celest. Mech., 39, 283

Capitaine, N., Chapront, J., Lambert, S., & Wallace, P. T. 2003a,A&A, 400, 1145

Capitaine, N., Wallace, P. T., & Chapront, J. 2003b, A&A, 412, 567

Capitaine, N., Wallace, P. T., & Chapront, J. 2005a, A&A, 432, 355

Capitaine, N., Folgueira, M., & Souchay, J. 2005b, Paper II, A&A,submitted

Chapront, J. 2003, Notice, Paris Observatory (January 2003)

Folgueira, M., & Souchay, J. 2005, A&A, 432, 1101

Folgueira, M., Souchay, J., & Capitaine, N. 2005, Celest. Mech.,submitted

Folgueira, M., Capitaine, N., & Souchay, J. 2004, in Proc. Journées 2004, Systèmes de Référence spatio-temporels, ed. N. Capitaine,Observatoire de Paris, 136

Guinot, B. 1979, in Time and the Earth’s Rotation, ed. D. D.

McCarthy, & J. D. Pilkington (D. Reidel Publishing Company),

7 IAU NFA WG Recommendations 2005 (IAU Division 1 Working

Group on “Nomenclature for Fundamental Astronomy”), http://syrte.obspm.fr/iauWGnfa/Explanatory.html,March 2005

IAU Transactions 2000, Vol. XXIVB; in Proc. Twenty-Fourth General Assembly; Manchester, ed. H. Rickman, ASP, Provo, USA, 2001,34 IERS Conventions 2003, IERS Technical Note 32, ed. D. D. McCarthy, & G. Petit, Frankfurt amMain: Verlag des Bundesamts für Kartographie und Geodäsie, 2004

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

Kinoshita, H., Nakajima, K., Kubo, Y., et al. 1979, Publ. Int. Latitude Obs. Muzusawa, Vol. XII, N. 2, 71

Lieske, J. H., Lederle, T., Fricke, W., et al. 1977, A&A, 58, 1

Loyer, S. 1997, Thèse (Ph.D.), Université Paul Sabatier, Toulouse III,France

Mathews, P. M., Herring, T. A., & Buffett B. A. 2002, J. Geophys.Res. 107, B4, 10.1029/2001JB000390

Mathews, P. W. 2003, in Proc. Journées 2001, ed. N. Capitaine,Observatoire de Paris, 180

Moritz, H., & Mueller, I. I. 1987, Earth rotation: Theory and Observation (New York: The Ungar Publishing Company)

Moulton, F. R. 1930, Differential equations, 2nd ed. (MacMillan Company)

Munk, W. H., & MacDonald, G. J. F. 1960, The rotation of the Earth:A geophysical discussion (Cambridge University Press)

Roosbeek, F., & Dehant, V. 1998, Celest. Mech., 70, 215

Souchay, J., Loysel, B., Kinoshita, H., & Folgueira, M. 1999, A&AS,135, 111

Souchay, J., Folgueira, M., & Capitaine, N. 2005, A&A, submitted

Williams, J. G. 1994, AJ, 108 (2), 711

Woolard, E. W. 1953, in Astronomical Papers prepared for the use of the American Ephemeris and Nautical Almanac, XV, Part I, 1

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