Collection
Variational and perturbative methods in Celestial Mechanics
- Submission status
- Closed
Astonishing results have been obtained in the XX century by the implementation of perturbation theory; among the others, we recall the discovery of the planet Neptune with theoretical computations. Variational and perturbative methods, which are the core topics of this Topical Collection, still play a relevant role in Celestial Mechanics, from the study of the dynamical behavior of the Galilean satellites to the analysis of the trajectories of satellites and space debris.
Based on contributions from the Eighth International Meeting on Celestial Mechanics (CELMEC VIII), Rome, Italy, 5–9 September 2022.
Editors
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Àngel Jorba
University of Barcelona
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Susanna Terracini
University of Turin
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Gabriella Pinzari
University of Padua
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Alessandra Celletti
University of Rome Tor Vergata
Articles (7 in this collection)
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Variational proof of the existence of periodic orbits in the anisotropic Kepler problem
Authors
- Shota Iguchi
- Mitsuru Shibayama
- Content type: Original Article
- Published: 04 May 2023
- Article: 27
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Existence proof of librational invariant tori in an averaged model of HD60532 planetary system
Authors
- Veronica Danesi
- Ugo Locatelli
- Marco Sansottera
- Content type: Original Article
- Open Access
- Published: 20 April 2023
- Article: 24
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The phase-space architecture in extrasolar systems with two planets in orbits of high mutual inclination
Authors
- Rita Mastroianni
- Christos Efthymiopoulos
- Content type: Original Article
- Open Access
- Published: 18 April 2023
- Article: 22
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How many Keplerian arcs are there between two points of spacetime?
Authors
- Alain Albouy
- Antonio J. Ureña
- Content type: Original Article
- Published: 07 April 2023
- Article: 18
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Regularization of the Hill four-body problem with oblate bodies
Authors
- Edward Belbruno
- Marian Gidea
- Wai-Ting Lam
- Content type: Original Article
- Published: 15 February 2023
- Article: 6
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Bifurcation of frozen orbits in a gravity field with zonal harmonics
Authors
- Irene Cavallari
- Giuseppe Pucacco
- Content type: Original Article
- Open Access
- Published: 12 October 2022
- Article: 49