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On the relativistic Lagrange-Laplace secular dynamics for extrasolar systems

arXiv:1510.06523 · doi:10.1017/S174392131400787X

Abstract

We study the secular dynamics of extrasolar planetary systems by extending the Lagrange-Laplace theory to high order and by including the relativistic effects. We investigate the long-term evolution of the planetary eccentricities via normal form and we find an excellent agreement with direct numerical integrations. Finally we set up a simple analytic criterion that allows to evaluate the impact of the relativistic effects in the long-time evolution.

4 pages, 4 figures, Proceedings IAU Symposium No. S310 (Complex Planetary Systems)