Folgueira, Marta and Souchay, J. and Kinoshita, Hiroshi
(1998)
*Effects on the nutation of the non-zonal harmonics of third degree.*
Celestial Mechanics and Dynamical Astronomy, 69
.
pp. 373-402.
ISSN 0923-2958

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## Abstract

In this paper, we calculate the coefficients of the nutation for a rigid Earth model due to the C-3m and S-3m (m not equal 0) harmonics of the geopotential, starting from the Hamiltonian theory as developped by Kinoshita (1977). We show that these coefficients are far from bring negligible as given the level of truncation of 0.1 mu as which is necessary in the reconstruction of the tables of nutation, and also that their value is very close to that given by Bretagnon st al. (1997).

Item Type: | Article |
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Uncontrolled Keywords: | Non-zonal degree 3 harmonics, diurnal and sub-diurnal nutations |

Subjects: | Sciences > Mathematics > Geodesy |

ID Code: | 15415 |

References: | Bolotin, S., Bizouard, C., Loyer, S. and Capitaine N.: 1997, ‘High Frequency Variations of the Earth’s Instantaneous Angular Velocity Vector: Determination from VLBI Data analysis’,Astron. Astrophys. 317, 601. Bretagnon, P., Rocher, P. and Simon, J. L.: 1997, ‘Theory of the Rotation of the Rigid Earth’, Astron.Astrophys. 319, 305. Dehant, V., Arias, F., Brzezinski, A., Buffett, B., Capitaine, N., Carter,W., Defraigne, P., Dickey, J., Eubanks, M., Feissel, M., Fliegel, H., Fukushima, T., Forte, A., Gross, R., Hartmann, T., Herring,T., Kinoshita, H., Mathews, P. M., McCarthy, D., Melbourne, J., Molodensky, S., Roosbeek, F.,Salstein, D., Sasao, T., Soffel, M., Souchay, J., Vondrak, J., Wahr, J., Williams, J., Yatskiv, Y.and Zhu, S. Y.: 1997, ‘Considerations for the Future of Non-rigid Earth Nutation Theory’, JSR 96. Deprit, A.: 1969, ‘Canonical Transformations Depending on a Small Parameter’, Celest. Mech. 1,12. Hartmann, T.,Williams, J. G. and Soffel, M.: 1996, ‘Errors in J3 Part of Nutation Series’, Geophys.Res. Lett. Hori G.: 1966, ‘Theory of General Perturbations with Unspecified Canonical Variables’, Publ. Astr.Soc. Japan 8(4), 287. Kinoshita, H., Hori, G. and Nakai, H.: 1974, ‘Modified Jacobi Polynomials and its Applications to Expansions of Disturbing Functions’, Annals of the Tokyo Astronomical Observatory, Second series XIV, N.1. Kinoshita, H.: 1977, ‘Theory of the Rotation of the Rigid Earth’, Celest. Mech. 15, 277. Kinoshita, H. and Souchay, J.: 1990, ‘The Theory of the Nutation for the Rigid Earth Model at the Second Order’, Celest. Mech. 48, 187. Seidelmann, P. K.: 1982, ‘1980 IAU Report of Nutation: The Final Report of the IAU Working Group on Nutation’, Celest. Mech. 27, 79. Seidelmann, P. K. (ed.): 1992, ‘Explanatory Supplement to the Astronomical Almanac’, University Science Books, Mill Valley, California. 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. |

Deposited On: | 30 May 2012 08:49 |

Last Modified: | 06 Feb 2014 10:24 |

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