The fundamental frequencies of N-body systems

Details The fundamental frequencies of N-body systems The fundamental frequencies of N-body systems

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002padeu..12...39s&link_type=abstract

2nd Workshop of Young Researchers in Astronomy & Astrophysics, Publications of the Astronomy Department of the Eötvös University

Astronomy and Astrophysics

Astrophysics

1

Scientific paper

In this article we determine the fundamental frequencies of different planetary systems similar to our Solar System configuration - but with larger masses for the planets - as possible model for exosolar systems. For this purpose we have implemented the Laplace-Lagrange theory (1st order secular theory) in the maple computer algebra program. Two different models were investigated: one where the planets Venus, Earth and Mars had masses up to the one of Jupiter, and a second one where the inner planets were given the actual masses, but the giant planets Jupiter and Saturn had significantly larger masses. The respective results showed a simple linear increase in the fundamental frequencies (nodes and perihelion longitudes) with increasing masses.

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