NDLI: Transport orbits in an equilateral restricted four-body problem

Content Provider	Springer Nature Link
Author	Alvarez Ramírez, M. Barrabés, E.
Copyright Year	2014
Abstract	In this paper we consider a restricted equilateral four-body problem where a particle of negligible mass is moving under the Newtonian gravitational attraction of three masses (called primaries) which move on circular orbits around their center of masses such that their configuration is always an equilateral triangle (Lagrangian configuration). We consider the case of two bodies of equal masses, which in adimensional units is the parameter of the problem. We study numerically the existence of families of unstable periodic orbits, whose invariant stable and unstable manifolds are responsible for the existence of homoclinic and heteroclinic connections, as well as of transit orbits traveling from and to different regions. We explore, for three different values of the mass parameter, what kind of transits and energy levels exist for which there are orbits with prescribed itineraries visiting the neighborhood of different primaries.
Starting Page	191
Ending Page	210
Page Count	20
File Format	PDF
ISSN	09232958
Journal	Celestial Mechanics and Dynamical Astronomy
Volume Number	121
Issue Number	2
e-ISSN	15729478
Language	English
Publisher	Springer Netherlands
Publisher Date	2014-11-16
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Lagrangian configuration Four-body problem Invariant manifolds Transfer orbits Homoclinic and heteroclinic connections Astrophysics and Astroparticles Dynamical Systems and Ergodic Theory Aerospace Technology and Astronautics Geophysics/Geodesy Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Astronomy and Astrophysics Modeling and Simulation Computational Mathematics Space and Planetary Science

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