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ELEMENTAL PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS IN THE CIRCULAR RESTRICTED 3-BODY PROBLEM

Department of Computer Science, Concordia University, 1455 boulevard de Maisonneuve O., Montréal, Québec, H3G 1M8, Canada

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V. A. ROMANOV

Department of Computer Science, Concordia University, 1455 boulevard de Maisonneuve O., Montréal, Québec, H3G 1M8, Canada

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R. C. PAFFENROTH

ACM 217-50, California Institute of Technology, Pasadena CA 91125, USA

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H. B. KELLER

ACM 217-50, California Institute of Technology, Pasadena CA 91125, USA

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D. J. DICHMANN

Consultant, Centreville, VA, USA

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J. GALÁN-VIOQUE

Matemática Aplicada II, Escuela Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos s/n, Sevilla 41092, Spain

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, and

A. VANDERBAUWHEDE

Vakgroep Zuivere Wiskunde en Computeralgebra, Universiteit Gent, Krijgslaan 281, B-9000 Gent, Belgium

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https://doi.org/10.1142/S0218127407018671Cited by:95 (Source: Crossref)

Abstract

We present an overview of detailed computational results for families of periodic orbits that emanate from the five libration points in the 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.

Keywords:

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