Development Of The Hamiltonian Function Using The Jacobi System Of Reference

Details Development Of The Hamiltonian Function Using The Jacobi System Of Reference Development Of The Hamiltonian Function Using The Jacobi System Of Reference

Oct 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998em%26p...81..179k&link_type=abstract

Earth, Moon, and Planets, v. 81, Issue 3, p. 179-185 (2000).

Computer Science

Jacobi Coordinates, Literal Expansions, Planetary Perturbations

Scientific paper

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.

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