Abstract
In this paper, the series RDAN97 recently published (Roosbeek and Dehant, 1998) is completed by computing the diurnal and subdiurnal nutation terms. The method used is based on computing the torque induced by the external bodies on the rigid earth. The ephemerides used are analytical and based on celestial mechanics considerations. With a truncation level of 0.1 μas, 115 terms in longitude and 78 terms in obliquity have been computed. These terms correspond to the influence of the earth's geopotential coefficients c2,2 and s2,2, c3,m and s3,m (for the interaction between the earth and the moon and the sun), and c4,m and s4,m (for the interaction between the earth and the moon). A comparison with the recent theories REN‐2000 (Souchay and Kinoshita, 1996, 1997) and SMART97 (Bretagnon et al., 1997, 1998) shows that our series is at a very high precision, better than the most recent VLBI campaigns.
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References
Bretagnon, P. and Francou, G.: 1988, 'VSOP87: Planetary theories in rectangular and spherical variables', Astron. Astrophys. 202, 309-315.
Bretagnon, P., Rocher, P. and Simon, J. L.: 1997, 'Theory of the rotation of the rigid earth', Astron. Astrophys. 319, 305-317.
Bretagnon, P., Francou, G., Rocher, P. and Simon, J. L.: 1998, 'SMART97: A new solution for the rotation of the rigid earth', Astron. Astrophys. 329, 329-338.
Chapront-Touzé, M. and Chapront, J.: 1988, 'ELP2000-85: a semi-analytical lunar ephemeris adequate for historical times', Astron. Astrophys. 190, 342-352.
Lerch, F. J., Nerem, R. S., Putney, B. H., Felsentreger, T. L., Sanchez, B. V. and Marshall, J. A., Klosko, S. M., Patel, G. B., Chinn, D. S., Chan, J. C., Rachlin, K. E., Chandler, N. L., McCarthy, J. J., Luthcke, S. B., Pavlis, N. K., Robbins, J. W. and Kapoor, S.: 1994, 'A geopotential model from satellite tracking, altimeter, and surface gravity data: GEM-T3', J. Geophys. Res. 99, 2815-2839.
McCarthy, D.: 1996, 'IERS Conventions', IERS Tech. Note 21, 95.
Roosbeek, F. and Dehant, V.: 1998, 'RDAN97: An analytical development of rigid earth nutation series using the torque approach', Celest. Mech. 70, 215-253.
Seidelmann, P. K.: 1982, '1980 IAU theory of Nutation: the final of the IAU working group on Nutation', Celest. Mech. 27, 79-106.
Simon, J. L., Bretagnon, P., Chapront, J., Chapront-Touzé, M., Francou, G. and Laskar, J.: 1994, 'Numerical expressions for precession formulae and mean elements for the Moon and the planets', Astron. Astrophys. 282, 663-683.
Souchay, J. and Kinoshita, H.: 1996, 'Corrections and new developments in rigid earth nutation theory: I. Lunisolar influence including indirect planetary effects', Astron. Astrophys. 312, 1017-1030.
Souchay, J. and Kinoshita, H.: 1997, 'Corrections and new developments in rigid earth nutation theory: II. Influeence of second-order geopotential and direct planetary effect', Astron. Astrophys. 318, 639-652.
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Roosbeek, F. Diurnal and Subdiurnal Terms in Rdan97 Series. Celestial Mechanics and Dynamical Astronomy 74, 243–252 (1999). https://doi.org/10.1023/A:1008312424283
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DOI: https://doi.org/10.1023/A:1008312424283