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On the relativistic Lagrange-Laplace secular dynamics for extrasolar systems

Published online by Cambridge University Press:  05 January 2015

M. Sansottera ,
L. Grassi  and
A. Giorgilli
M. Sansottera
Affiliation:
Dipartimento di Matematica, Università degli Studi di Milano, 20133 — Milano, Italia email: marco.sansottera@unimi.itlorenzo.grassi@studenti.unimi.itantonio.giorgilli@unimi.it
L. Grassi
Affiliation:
Dipartimento di Matematica, Università degli Studi di Milano, 20133 — Milano, Italia email: marco.sansottera@unimi.itlorenzo.grassi@studenti.unimi.itantonio.giorgilli@unimi.it
A. Giorgilli
Affiliation:
Dipartimento di Matematica, Università degli Studi di Milano, 20133 — Milano, Italia email: marco.sansottera@unimi.itlorenzo.grassi@studenti.unimi.itantonio.giorgilli@unimi.it
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Abstract

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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.

Keywords

celestial mechanicsmethods: analyticalsecular dynamicsrelativistic effectsextrasolar planetary systemsnormal forms
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 9 , Issue S310: Complex Planetary Systems , July 2014 , pp. 74 - 77
Copyright
Copyright © International Astronomical Union 2014 

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