Symplectic coordinates onS2×S2for perturbed Keplerian problems: Application to the dynamics of a generalised Størmer problem-Reference-Cited by-同舟云学术

Symplectic coordinates onS2×S2for perturbed Keplerian problems: Application to the dynamics of a generalised Størmer problem

Published:2011-02 Issue:3 Volume:250 Page:1386-1407
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Iñarrea Manuel,Lanchares Víctor,Palacián Jesús F.,Pascual Ana I.,Salas J. Pablo,Yanguas Patricia

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference36 articles.

1. Foundations of Mechanics;Abraham,1978

2. The stability of the equilibrium position of a Hamiltonian system of ordinary differential equations in the general elliptic case;Arnold;Soviet Math. Dokl.,1964

3. Mathematical Aspects of Classical and Celestial Mechanics;Arnold,2006

4. Stability of equilibria and fixed points of conservative systems;Cabral;Nonlinearity,1999

5. Gravity field of the Saturnian system from Pioneer and Voyager tracking data;Campbell;Astron. J.,1989

Cited by 7 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. Second-kind symmetric periodic orbits for planar perturbed Kepler problems and applications;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-05-19

2. Periodic solutions of symmetric Kepler perturbations and applications;Journal of Nonlinear Mathematical Physics;2021

3. Reduced 4D oscillators and orbital elements in Keplerian systems: Cushman–Deprit coordinates;Celestial Mechanics and Dynamical Astronomy;2020-11-25

4. Periodic orbits of Hamiltonian systems: Applications to perturbed Kepler problems;Chaos, Solitons & Fractals;2013-12

5. Motion of Charged Particles in ABC Magnetic Fields;SIAM Journal on Applied Dynamical Systems;2013-01