Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004padeu..14..267s&link_type=abstract
In: Proceedings of the British-Hungarian N+N Workshop for Young Researchers On Computer processing and use of satellite data in
Astronomy and Astrophysics
Astrophysics
Scientific paper
The determination of the secular variations of the orbital elements of objects in N-body systems is based on the literal development of the perturbing function. The development makes use of the Laplace coefficients and their derivatives. In this paper a new method is shortly described for the analytical computation of the derivatives of the Laplace coefficients. It is an explicit formula in the sense that it only contains the Laplace coefficients and the parameter alpha on which the Laplace coefficients depend. The advantage of this method is that it directlly gives the desired numerical results. Easy coding is a further benefit of the method and it provides more accurate numerical results. The paper describes in detail the application of the method through an example and gives a detailed comparison with former methods.
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