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Zbl 1139.70006
Doedel, E.J.; Romanov, V.A.; Paffenroth, R.C.; Keller, H.B.; Dichmann, D.J.; Galán-Vioque, J.; Vanderbauwhede, A.
Elemental periodic orbits associated with the libration points in the circular restricted 3-body problem. (English)
[J] Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 8, 2625-2677 (2007). ISSN 0218-1274

Summary: We present an overview of detailed computational results for families of periodic orbits that emanate from the five libration points in circular restricted 3-body problem, as well as for various secondary bifurcating families. Our extensive overview covers all values of the mass-ratio parameter, and includes many known families that have been studied in the past. The numerical continuation and bifurcation algorithms employed in our study are based on boundary value techniques, as implemented in the numerical continuation and bifurcation software AUTO.

MSC 2000:: *70F07 Three-body problem
70K42 Equilibria and periodic trajectories
70K50 Transition to stochasticity (general mechanics)
70-08 Computational methods (mechanics of particles and systems)

Keywords: numerical continuation; bifurcation diagrams; software AUTO

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Zentralblatt MATH Berlin [Germany]