http://arxiv.org/abs/1510.06523
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.
M. Sansottera, L. Grassi and A. Giorgilli
Fri, 23 Oct 15
19/63
Comments: 4 pages, 4 figures, Proceedings IAU Symposium No. S310 (Complex Planetary Systems)