Abstract
In this paper, an analytical theory of motion of the second Neptunian satellite Nereid is constructed using Lie transformation approach. The main perturbing forces which come from the solar influence are only taken into account. The disturbing function is developed in powers of the ratio of the semimajor axes of the satellite and the Sun and put in a closed form with respect to the eccentricity. The theory includes secular perturbations up to the fourth order, short, intermediate and long period perturbations up to the third order. The osculating orbital elements which describe the orbital motion of Nereid are evaluated analytically. The comparison with the numerical integration of the equations of motion gives an accuracy on the level of 0.2 km in the semimajor axis, 10−7 in the eccentricity and l0−4 degree in the angular variables over a period of several hundred years. The results of the present theory satisfy the required accuracy for the observations.
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© 2001 Springer Science+Business Media Dordrecht
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Saad, AN.S., Kinoshita, H. (2001). An Analytical Theory of Motion of Nereid. In: Pretka-Ziomek, H., Wnuk, E., Seidelmann, P.K., Richardson, D.L. (eds) Dynamics of Natural and Artificial Celestial Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1327-6_21
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DOI: https://doi.org/10.1007/978-94-017-1327-6_21
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