Development Of The Hamiltonian Function Using The Jacobi System Of Reference |
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| Authors: | Kamel Osman M |
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| Institution: | (1) Astronomy Department, Faculty of Sciences, Cairo University, Giza, Egypt |
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| Abstract: | In this paper we describe two different methods to expand the second term of the planetary Hamiltonian function. The Jacobi
system of coordinates is adopted leading to a unique evaluation of the Hamiltonian. Previous analytical or semi-analytical
planetary theories suffer from the drawback of computing the perturbation function for each planet, which is quite cumbersome.
The inclinations of planets are referred to a common fixed plane and the longitudes to a common origin. This is necessary
when we deal with n > 2 planets. The treatment is straightforward, and no complexities appear throughout the analysis.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | Jacobi coordinates literal expansions planetary perturbations |
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