The Dynamic Instability Analysis of Electrodynamic Tether System

The Dynamic Instability Analysis of Electrodynamic Tether System | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article The Dynamic Instability Analysis of Electrodynamic Tether System Xialin Li, Keying Yang, Jingrui Zhang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3605626/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 24 May, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted 5 You are reading this latest preprint version Abstract The libration motion of conductive tether in electrodynamic tether system had been demonstrated unstable inherently. This paper conducts a further dynamic analysis of the instability in electrodynamic tether system, specifically investigating the existence of periodic solution and equilibrium point, as well as exploring the condition for rapid instability in libration motion. The dumbbell model is employed to depict the in-plane and out-plane libration motion, and the parameter ε is introduced to incorporate the influences of tether current and inclination. The critical ranges of ε and out-plane angle that determine whether the libration motion will go tumbling quickly are derived analytically based on the existence condition of periodic solution and equilibrium point. The numerical simulations were conducted to demonstrate these analytical critical ranges, and the results show that the libration motion will become unstable quickly if the out-plane angle or ε exceeds the critical range even under control strategy. This critical range of ε and out-plane angle is a general conclusion applicable to any situation (within the limitation of the model considered in this study), which can be utilized in guiding the design of system parameters to avoid rapid instability of electrodynamic tether system. Electrodynamic tether Dynamic instability Nonlinear dynamics Space debris Full Text Cite Share Download PDF Status: Published Journal Publication published 24 May, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Major revisions 07 Feb, 2024 Reviewers agreed at journal 20 Nov, 2023 Reviewers invited by journal 20 Nov, 2023 Editor assigned by journal 13 Nov, 2023 First submitted to journal 12 Nov, 2023 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-3605626","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":251763401,"identity":"bcfad307-b5a0-49cb-b45c-a1092380656a","order_by":0,"name":"Xialin Li","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyUlEQVRIiWNgGAWjYBACfmbmA8Y///2Xk2dvIFKLZDtbQjEDG7OxYc8BIrUY9PMofAZqSWy4kUCsFmYexs0FPGzGjDMfb7zBUGMTTVCLOTPvYeMZEjxy7NJpxRYMx9JyGwhpsWzmSzPgMZAwZpydYybB2HCYsBaDwzzmP3gSDBIbbp4hXouBMc+BBKD3eYjUItnMlmA4s+EAMJCBfkkgxi/8/IcPGHxsOACMysMbb3yosSGsBcWREgmkKIdoIVXHKBgFo2AUjAwAANTLPMU9Z/3tAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0009-0000-5637-8158","institution":"Beijing Institute of Technology","correspondingAuthor":true,"prefix":"","firstName":"Xialin","middleName":"","lastName":"Li","suffix":""},{"id":251763402,"identity":"9626a1f5-b297-4077-8a2f-5243684dddd6","order_by":1,"name":"Keying Yang","email":"","orcid":"https://orcid.org/0000-0001-5759-1399","institution":"Beijing Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Keying","middleName":"","lastName":"Yang","suffix":""},{"id":251763404,"identity":"c9a3167a-fbbd-4777-8b73-98b55539678c","order_by":2,"name":"Jingrui Zhang","email":"","orcid":"","institution":"Beijing Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Jingrui","middleName":"","lastName":"Zhang","suffix":""}],"badges":[],"createdAt":"2023-11-13 14:49:57","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3605626/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3605626/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11071-024-09771-w","type":"published","date":"2024-05-24T12:28:52+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":59852144,"identity":"169590c4-5f27-4e72-9642-1d8a32a4f092","added_by":"auto","created_at":"2024-07-08 12:28:58","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1407011,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3605626/v1_covered_ffc8de4f-bfef-4d32-bf17-9dae4ea89eb3.pdf"}],"financialInterests":"","formattedTitle":"The Dynamic Instability Analysis of Electrodynamic Tether System","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Electrodynamic tether, Dynamic instability, Nonlinear dynamics, Space debris","lastPublishedDoi":"10.21203/rs.3.rs-3605626/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3605626/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe libration motion of conductive tether in electrodynamic tether system had been demonstrated unstable inherently. 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