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.

On the relativistic Lagrange-Laplace secular dynamics for extrasolar systems / M. Sansottera, L. Grassi, A. Giorgilli (PROCEEDINGS OF THE INTERNATIONAL ASTRONOMICAL UNION). - In: Complex planetary systems / [a cura di] Z. Knežević, A. Lemaitre. - Cambridge : Cambridge University Press, 2014 Jul. - ISBN 9781107078680. - pp. 74-77 (( Intervento presentato al 310. convegno IAU symposium : Complex planetary systems tenutosi a Namur nel 2014 [10.1017/S174392131400787X].

On the relativistic Lagrange-Laplace secular dynamics for extrasolar systems

M. Sansottera
Primo
;
A. Giorgilli
Ultimo
2014

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.
celestial mechanics; methods: analytical; secular dynamics; relativistic effects; extrasolar planetary systems; normal forms
Settore MAT/07 - Fisica Matematica
lug-2014
Book Part (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/265448
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