On the radial intermediaries and the time transformation in satellite theory |
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Authors: | R. Cid S. Ferrer M. L. Sein-Echaluce |
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Affiliation: | (1) Departmento de Física de la Tierra y del Cosmos, Universidad de Zaragoza, 50009 Zaragoza, Spain |
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Abstract: | Taking advantage of the radial intermediaries and the regularization and linearization methods, the zonal Earth satellite theory is studied in the polar nodal canonical set of variables (, , ,R, ¡,N).The variable is eliminated in the first order of the Hamiltonian by applying Deprit's method. Then, the elimination of the perigee is carried out by another canonical transformation. As a consequence, a new radial intermediary, which contains all theJ2n(n1) harmonics, is given. A comparison with the previous radial intermediaries of Cid and Lahulla, Deprit and Alfriend and Coffey is made.Finally, a regularizing transformation which allows us to linearize part of the radial intermediary is proposed, and an analytical study of this process is presented. |
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