dc.contributor.author
Duarte, G.
dc.contributor.author
Jorba, A.
dc.date.accessioned
2024-10-14T10:47:46Z
dc.date.accessioned
2024-12-09T12:34:58Z
dc.date.available
2024-10-14T10:47:46Z
dc.date.available
2024-12-09T12:34:58Z
dc.date.issued
2024-08-01
dc.identifier.uri
http://hdl.handle.net/2072/537867
dc.description.abstract
In this paper, we present a way of combining the computation of invariant tori and their stable and unstable manifolds with the multiple shooting technique. We start by showing some of the results of Jorba (Nonlinearity 14(5):943-976, 2001) that should be modified in order to introduce the multiple shooting technique in these computations. After that, by a direct application in the planar elliptic restricted three-body problem (PERTBP), how to modify the equations and methods to compute the above-mentioned objects is introduced. In particular, the structure of the (systems of) equations and matrices involved in these computations is shown. An application of these computations can be found in Duarte and Jorba (Invariant manifolds of tori near L-1 and L-2 in the planar elliptic restricted three-body problem II. The Dynamics of Comet Oterma, Preprint 2023), where the dynamics of comet 39P/Oterma is modelled as a PERTBP.
eng
dc.description.sponsorship
This work has been supported by the Spanish grant PID2021-125535NB-I00 funded by MICIU/AEI/10.13039/501100011033 (FEDER/UE), the catalan grant 2021 SGR 01072 and the Spanish State Research Agency through the Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R &D (CEX2020-001084-M). G.D. acknowledges the support from the Spanish Ministry of Economy and Competitiveness through the Maria de Maeztu Programme for Units of Excellence in R &D (MDM-0445-2014) and the support of Polish National Science Centre grant 2018/29/B/ST1/00109.
dc.format.extent
18 p.
cat
dc.publisher
Springer
cat
dc.relation.ispartof
Celestial Mechanics and Dynamical Astronomy
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Computation of tori
cat
dc.subject.other
Computation of invariant manifolds
cat
dc.subject.other
Multiple shooting
cat
dc.subject.other
Planar elliptic restricted three-body problem
cat
dc.subject.other
Lagrangian points
cat
dc.title
Invariant manifolds near L1 and L2 in the Sun-Jupiter elliptic restricted three-body problem I
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1007/s10569-024-10194-3
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
