RDAN97: An analytical development of rigid earth nutation series

Celestial Mechanics and Dynamical Astronomy

Volumn 70, Issue 4, 1998, Pages 215-253

  Roosbeek, F ^a   Dehant, V ^a  

^a ROYAL OBSERVATORY OF BELGIUM   (Belgium)

Author keywords

Obliquity rate; Precession; Rigid earth nutations

Indexed keywords

EID: 0041875903     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008350710849     Document Type: Article

References (35)

1. Bretagnon, P.: 1982, 'Théorie du mouvement de l'ensemble des planètes. Solution VSOP82', Astron. Astrophys. 114, 278-288.
2. Bretagnon, P. and Francou, G.: 1988, 'Planetary theories in rectangular and spherical variables, VSOP87 Solutions', Astron. Astrophys. 202, 309-315.
3. Bretagnon, P., Rocher, P. and Simon, J. L.: 1997, 'Theory of the rotation of the rigid earth', Astron. Astrophys. 319, 305-317.
4. 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.
5. Capitaine, N.: 1982, 'Effets de la non-rigidité de la Terre sur son mouvement de rotation: étude théorique et utilisations d'observations', Thèse de Doctorat d'Etat ès Sciences Physiques, Université Pierre et Marie Curie, Paris VI, pp. 205.
6. Capitaine, N.: 1990, 'The celestial pole coordinates', Celest. Mech., 48, 127-143.
7. Capitaine, N., Williams, J. G. and Seidelmann, P. M.: 1985, 'Clarifications concerning the definition and determination of the Celestial Ephemeris Pole', Astron. Astrophys. 146, 381-382.
8. Chapront-Touzé, M. and Chapront, J.: 1983, 'The lunar ephemeris ELP2000', Astron. Astrophys. 124, 50-62.
9. Chapront-Touzé, M. and Chapront, J.: 1988, 'ELP2000-85: a semi-analytical lunar ephemeris adequate for historical times', Astron. Astrophys. 190, 342-352.
10. Chapront-Touzé, M.: 1983, 'Perturbations due to the shape of the Moon in the lunar theory ELP2000', Astron. Astrophys. 119, 256-260.
11. Defraigne, P., Dehant, V. and Pâquet, P.: 1995, 'Link between prograde and retrograde nutations and nutations in longitude and obliquity', Celest. Mech. 62, 363-376.
12. Dehant, V. and Capitaine, N.: 1997, 'On the luni-solar precession, the tilt-over-mode, and the Oppolzer terms', Celest. Mech 65, 439-458.
13. 2, seismology)', in: N. Capitaine (ed.), Proc. Journées de Référence Spatio-temporels 1996, September 1996, Paris, France, pp. 103-104.
14. Dehant, V. and Defraigne, P.: 1997, 'New transfer functions for nutations of a non-rigid Earth', J. Geophys. Res. 102, 27659-27688.
15. Fukushima, T.: 1991, 'Geodesic nutation', Astron. Astrophys. 244, L11-L12.
16. Hartmann, T. and Wenzel, H.-G.: 1995, 'Catalogue HW95 of the tide generating potential', Bulletin d'Informations des Marées Terrestres 123, 9278-9301.
17. Hartmann, T., Soffel, M. and Ron, C.: 1998, 'The nutation of a rigid Earth model: a complete new series from a high tidal potential development', Astron. Astrophys (submitted).
18. Kinoshita, H.: 1977, 'Theory of the rotation of the rigid Earth', Celest. Mech. 15, 277-326.
19. Kinoshita, H. and Souchay, J.: 1990, 'The theory of the nutation for the rigid Earth model at the second-order', Celest. Mech. 48, 187-265.
20. Lerch, F. J., Nerem, R. S., Putney, B. H., Felsentreger, T. L., Sanchez, B. V., 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.
21. Lieske, J. H., Lederle, T., Fricke, W. and Porano, B.: 1977, 'Expression for the precession quantities based upon the IAU (1976) system of astronomical constants', Astron. Astrophys. 58, 1-16.
22. McCarthy, D.: 1992, IERS Standards, IERS Tech. Note, 13.
23. McCarthy, D. and Luzum, B. J.: 1995, 'Observation of luni-solar precession, invited paper at JD14 on Astronomical Standards', in: I. Appenzeller (ed.), Proc. XXIInd GA of IAU 1994, The Hague, The Netherlands, Kluwer Academic Publ., Highlights of Astronomy, Vol. 10, p. 198.
24. McCarthy, D.: 1996, IERS Conventions, IERS Tech. Note, 21, p. 95.
25. Melchior, P.: 1983, The Tides of the Planet Earth, Second edition, Oxford, p. 641.
26. Roosbeek, F.: 1996, 'RATGP95: a harmonic development of the tide-generating potential using an analytical method', Geophys. J. Int. 126, 197-204.
27. Seidelmann, P. K.: 1982, '1980 IAU theory of nutation: the final of the IAU working group on nutation', Celest. Mech., 27, 79-106.
28. 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.
29. 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.
30. Souchay, J. and Kinoshita, H.: 1997, 'Corrections and new developments in rigid Earth nutation theory: II. Influence of second-order geopotential and direct planetary effect', Astron. Astrophys. 318, 639-652.
31. Standish, E. M. and Williams, J. G.: 1981, Planetary and lunar ephemerides DE200-LE200, (magnetic tape).
32. Standish, E. M., Newhall, X. X., Williams, J. G. and Folkner, W. F.: 1995, JPL Planetary and Lunar Ephemerides DE403/LE403, JPL IOM 314, pp. 10-127.
33. Wahr, J. M.: 1981, 'The forced nutations of an elliptical rotating elastic and oceanless Earth', Geophys. J. R. Astron. Soc. 64, 705-727.
34. Williams, J. G.: 1994, 'Contributions to the Earth's obliquity rate, precession and nutation', Astron. J. 108(2), 711-724.
35. Williams, J. G.: 1995, 'Planetary-induced nutation of the Earth: the direct terms', Astron. J. 110(3), 1420-1426.