Families of canonical transformations by Hamilton-Jacobi-Poincaré equation. Application to rotational and orbital motion-Reference-Cited by-同舟云学术

Families of canonical transformations by Hamilton-Jacobi-Poincaré equation. Application to rotational and orbital motion

Published:2010 Issue:3 Volume:2 Page:223-241
ISSN:1941-4897
Container-title:Journal of Geometric Mechanics
language:en
Short-container-title:

Author:

Ferrer Sebastián, ,Lara Martin,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Earth and Planetary Sciences,General Environmental Science,Applied Mathematics,Control and Optimization,Geometry and Topology,Mechanics of Materials

Reference42 articles.

1. Sur l'anomalie excentrique et l'anomalie vraie comme éléments canoniques du mouvement elliptique d'après MM. T. Levi-Civita et G.-W. Hill,;M. H. Andoyer;Bulletin astronomique,1913

2. "Cours de Mécanique Céleste,";M. H. Andoyer;Cours de Mécanique Céleste,1923

3. The elements of Hamiltonian perturbation theory,;G. Benettin;in,2005

4. "Theory of Orbits. 1: Integrable Systems and Non-perturbative Methods,";D. Boccaletti;Springer-Verlag,2001

5. Geometric Hamilton-Jacobi theory,;J. F. Cariñena;Int. J. Geom. Meth. Mod. Phys.,2006

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Revisiting Hansen’s Ideal Frame Propagation with Special Perturbations—1: Basic Algorithms for Osculating Elements;Universe;2023-10-31

2. A torsion-based solution to the hyperbolic regime of the $$J_2$$-problem;Nonlinear Dynamics;2023-02-24

3. Note on the analytical integration of circumterrestrial orbits;Advances in Space Research;2022-06

4. On perturbation solutions in the restricted three-body problem dynamics;Acta Astronautica;2022-06

5. The eccentric case of a fast-rotating, gravity-gradient-perturbed satellite attitude solution;Celestial Mechanics and Dynamical Astronomy;2018-10-20