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arXiv · 1510.06523

On the relativistic Lagrange-Laplace secular dynamics for extrasolar systems

M. Sansottera·L. Grassi·A. Giorgilli
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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.

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M. Sansottera, L. Grassi, A. Giorgilli. 2015-10-22. On the relativistic Lagrange-Laplace secular dynamics for extrasolar systems. https://doi.org/10.1017/s174392131400787x

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