Boundary-value problem formulations for computing invariant manifolds and connecting orbits in the circular restricted three body problem-Reference-Cited by-同舟云学术

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Boundary-value problem formulations for computing invariant manifolds and connecting orbits in the circular restricted three body problem

Published:2012-08-28 Issue:1-2 Volume:114 Page:77-106
ISSN:0923-2958
Container-title:Celestial Mechanics and Dynamical Astronomy
language:en
Short-container-title:Celest Mech Dyn Astr

Author:

Calleja R. C.,Doedel E. J.,Humphries A. R.,Lemus-Rodríguez A.,Oldeman E. B.

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modeling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s10569-012-9434-y.pdf

Reference51 articles.

1. Aguirre P., Doedel E.J., Krauskopf B., Osinga H.M.: Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields. Discret. Contin. Dyn. Syst. 29, 1309–1344 (2011)

2. Alessi E.M., Gómez G., Masdemont J.: Leaving the Moon by means of invariant manifolds of libration point orbits. Commun. Nonlinear Sci. Numer. Simul. 14, 4153–4167 (2009)

3. Ascher U.M., Christiansen J., Russell R.D.: Collocation software for boundary value ODEs. ACM Trans. Math. Softw. 7, 209–222 (1981)

4. Barrabés E., Mondelo J.M., Ollé M.: Numerical continuation of families of homoclinic connections of periodic orbits in the RTBP. Nonlinearity 22, 2901–2918 (2009)

5. Canalias E., Masdemont J.J.: Homoclinic and heteroclinic transfer trajectories between planar Lyapunov orbits in the Sun–Earth and Earth–Moon systems. Discret. Contin. Dyn. Syst. 14, 261–279 (2006)

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