Computing libration point isolated invariant sets using isolating blocks
type: Item
instance of: scholarly article
title: Computing libration point isolated invariant sets using isolating blocks
zbMATH Open document ID: 1493.70050
author: Rodney L. Anderson
author: R. W. Easton
author: Martin W. Lo
published in: Physica D
publication date: 2022-02-21T00:00:00Z
review text: Earlier work, by the authors, focused on the computation of isolating blocks around the libration points in the Circular Restricted Three-Body Problem (CRTBP), and their use for the computation of stable and unstable asymptotic sets of the isolated invariant set around the libration points have been used by the authors and for this study. The isolated invariant set, or the invariant three-sphere of solutions, is studied using the asymptotic approaches of the stable manifold to the periodic and quasi-periodic orbits contained within the invariant three-sphere. A new bisection method is used for trajectories' computation that follow the invariant three-sphere and these trajectories were studied here, in more details. The authors focus on the computation of the isolated invariant set of solutions around the L2 libration point in the Jupiter-Europa CRTBP using this new bisection method. This method eliminates two computationally difficult and costly steps for computing these types of orbits: high order expansions and differential correction, and significantly speed up and simplify the computation.
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 37B35
Mathematics Subject Classification ID: 70H33
zbMATH DE Number: 7477432
zbMATH Keywords: circular restricted three-body problem
zbMATH Keywords: isolating blocks
zbMATH Keywords: libration points
zbMATH Keywords: invariant manifolds
zbMATH Keywords: invariant three-sphere
zbMATH Keywords: bisection method
zbMATH Keywords: quasiperiodic orbits
reviewed by: Maria Gousidou-Koutita
MaRDI profile type: Publication
full work available at URL: j.physd.2020.132361
OpenAlex ID: W3002656811
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Wikidata QID: Q126306217
DOI: 10.1016/J.PHYSD.2020.132361
description: scientific article; zbMATH DE number 7477432