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Particle Movement on a Rotating Sphere

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datacite.subject.fosCiências Naturais::Matemáticas
datacite.subject.sdg09:Indústria, Inovação e Infraestruturas
dc.contributor.authorBalsa, Carlos
dc.contributor.authorOtero-Espinar, M. Victoria
dc.contributor.authorGama, Sílvio
dc.date.accessioned2026-03-23T14:35:30Z
dc.date.available2026-03-23T14:35:30Z
dc.date.issued2025
dc.description.abstractVortex point models are a powerful tool for addressing fundamental dynamics questions related to atmospheric and oceanic flows. This study focuses on the dynamics of a passive particle in a flow induced by two vortex points on the surface of a rotating sphere. The optimal control problem is converted into a nonlinear optimization problem and is solved numerically using a direct approach. The proposed method calculates a quasi-optimal solution, which minimizes the energy generated during the displacement. In general, this energy decreases with the increase in the number of controls. The quasi-optimal solution also depends on the rotation speed of the sphere. If the rotation speed is very high, the particle rotates several times around the sphere before reaching the destination point.eng
dc.description.sponsorship. MVOE was partially supported by the Ministerio de Ciencia e Innovación, Agencia Estatal de Investigaci´on (Spain), grant PID2020-115155GB-I00 and the Conseller´ıa de Educación, Universidade e Formación Profesional (Xunta de Galicia), grant ED431C 2023/31. SG was partially supported by CMUP, a member of LASI, which is financed by national funds through FCT– Fundação para a Ciência e a Tecnologia, I.P., under the project with reference UIDB/00144/2020.
dc.identifier.citationlsa, C.; Otero-Espinar, V.; Gama, S. (2023) An Approach to Environmental Cleanup through Conceptual Autonomous Technology . In Proceedings of TEEM 2023. Springer Nature. ISNN 2196-4963, p. 582-591.
dc.identifier.doi10.1007/978-3-031-81724-3_29
dc.identifier.eissn1876-1119
dc.identifier.issn1876-1100
dc.identifier.urihttp://hdl.handle.net/10198/36223
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Nature
dc.relationResearch Centre in Digitalization and Intelligent Robotics
dc.relationAssociate Laboratory for Sustainability and Tecnology in Mountain Regions
dc.relationCentre of Mathematics of the University of Porto
dc.relation.ispartofLecture Notes in Electrical Engineering
dc.relation.ispartofCONTROLO 2024
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectControl Problem
dc.subjectDirect Approach
dc.subjectNumerical Optimization
dc.subjectPoint Vortex
dc.subjectRotating Sphere
dc.titleParticle Movement on a Rotating Sphere
dc.typeconference paper
dspace.entity.typePublication
oaire.awardNumberUIDB/05757/2020
oaire.awardNumberLA/P/0007/2020
oaire.awardNumberUIDB/00144/2020
oaire.awardTitleResearch Centre in Digitalization and Intelligent Robotics
oaire.awardTitleAssociate Laboratory for Sustainability and Tecnology in Mountain Regions
oaire.awardTitleCentre of Mathematics of the University of Porto
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F05757%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/LA%2FP%2F0007%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00144%2F2020/PT
oaire.citation.endPage328
oaire.citation.startPage320
oaire.citation.titleLecture Notes in Electrical Engineering
oaire.citation.volume1325 LNEE
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameBalsa
person.givenNameCarlos
person.identifier1721518
person.identifier.ciencia-idDE1E-2F7A-AAB1
person.identifier.orcid0000-0003-2431-8665
person.identifier.ridM-8735-2013
person.identifier.scopus-author-id23391719100
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
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relation.isAuthorOfPublication.latestForDiscoveryd0e5ccff-9696-4f4f-9567-8d698a6bf17d
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