NDLI: Diversity and validity of stable-unstable transitions in the algorithmic weak stability boundary

Content Provider	Springer Nature Link
Author	Sousa Silva, Priscilla A. Terra, Maisa O.
Copyright Year	2012
Abstract	This paper is devoted to verify the consistency of the algorithmic Weak Stability Boundary definition concerning the achievement of capture-escape detection, through examining the transitions produced by the implementation of this definition. Our main goal is to show that many types of spurious transitions concerning capture-escape behavior are found besides the expected transitions due to the separatrix role of the hyperbolic invariant manifolds of the central manifold of the collinear equilibria of the Planar Circular Restricted Three-Body Problem. We identify and characterize authentic and spurious transitions and discuss their spatial distribution along the boundary for sets of initial conditions with high eccentricity, showing the frequent occurrence of spurious transitions and of collisional trajectories. Also, we investigate smooth and fractal-like portions of the boundary. Finally, we propose an alternative stability boundary definition based on the effective detection of capture-escape transitions.
Starting Page	453
Ending Page	478
Page Count	26
File Format	PDF
ISSN	09232958
Journal	Celestial Mechanics and Dynamical Astronomy
Volume Number	113
Issue Number	4
e-ISSN	15729478
Language	English
Publisher	Springer Netherlands
Publisher Date	2012-08-24
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Weak stability boundary Restricted three-body problem Earth-to-moon transfers Capture-escape transitions Spurious transitions Astrophysics and Astroparticles Mechanics Aerospace Technology and Astronautics Dynamical Systems and Ergodic Theory Geophysics/Geodesy
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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