Exponential stability for the resonant D'Alembert model of celestial mechanics

Luca Biasco; Luigi Chierchia

doi:10.3934/dcds.2005.12.569

Article Contents

2005, Volume 12, Issue 4: 569-594. Doi: 10.3934/dcds.2005.12.569

This issue Previous Article Next Article Asymptotic behavior of solutions to a perturbed p-Laplacian problem with Neumann condition

Exponential stability for the resonant D'Alembert model of celestial mechanics

Luca Biasco^1, and
Luigi Chierchia^1,

1.
Dipartimento di Matematica, Università "Roma Tre", Largo S. L. Murialdo 1, 00146 Roma

Received: May 2004

Revised: May 2004

Published: July 2005

Abstract / Introduction Related Papers Cited by

Abstract

We consider the classical D'Alembert Hamiltonian model for a rotationally symmetric planet revolving on Keplerian ellipse around a fixed star in an almost exact "day/year" resonance and prove that, notwithstanding proper degeneracies, the system is stable for exponentially long times, provided the oblateness and the eccentricity are suitably small.

Keywords:

Mathematics Subject Classification: 37C75, 70H08, 70K43, 70K45, 34D10, 34C29.

Citation:

Article Metrics

HTML views() PDF downloads(56) Cited by(0)

Exponential stability for the resonant D'Alembert model of celestial mechanics

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Exponential stability for the resonant D'Alembert model of celestial mechanics

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content