Geometry-Preserving Libration Point Orbit Design in High-Fidelity Ephemeris Model via Sequential Convex Programming

Geometry-Preserving Libration Point Orbit Design in High-Fidelity Ephemeris Model via Sequential Convex Programming | 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 Geometry-Preserving Libration Point Orbit Design in High-Fidelity Ephemeris Model via Sequential Convex Programming Koki Ho, Yuri Shimane This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6172452/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The design of libration point orbits (LPO) in high-fidelity ephemeris model (HFEM) is essential for mission design in the vicinity of libration points. An important design challenge lies in ensuring the generated LPO in the HFEM inherits desirable geometric property exhibited by the counterpart LPO from simpler dynamic models such as the circular-restricted three-body problem. Another hurdle lies in generating fuel-optimal, long-duration LPOs, where small maneuvers are necessitated to maintain the orbital regime over extended periods of time. To address both the geometric preservation and fuel-optimality, we propose a nonlinear programming (NLP)-based shooting approach for generating LPO in HFEM. We adopt sequential convex programming to solve the NLP due to its theoretical guarantee of convergence to a local optimum. We demonstrate our approach by constructing 9:2 resonant L2 near rectilinear halo orbits, the proposed orbit for the Gateway, and 1:1 resonant L1 Lyapunov orbits, frequently proposed for space situational awareness missions equipped with optical sensors. Baseline Generation High-Fidelity Ephemeris Model Libration Point Orbit Sequential Convex Programming Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted 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. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-6172452","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":499008188,"identity":"b020cdb1-4cdf-4f9c-b405-70e12005985e","order_by":0,"name":"Koki Ho","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyUlEQVRIie3LsQqCQBjA8S8Ep4tW5dBewRCaRF9FObhWR0chsCVqtalX6BEuPrgWqQdw6hmE1jqF5tMt6P5wfN/B9wMwmX4wB2xAgGj4WOrNypGEg5oTiLrECcTdVRnmxSM+nrfXLofIuwgNoUQKrJuW1dJmtAYeaonvbEqcVy0DSdYWAczGkjtbysVLkbeeUIcLRUQcSGIrIvTE3csUScPSleQhJQELTzri3KqwI0Wc+IjPfvEOOvItK4cRjDzvSybcmkwm07/1AS2oQfEk45YrAAAAAElFTkSuQmCC","orcid":"","institution":"Georgia Institute of Technology","correspondingAuthor":true,"prefix":"","firstName":"Koki","middleName":"","lastName":"Ho","suffix":""},{"id":499008189,"identity":"09cc6215-b369-4f15-a7fc-03ec68d34ffd","order_by":1,"name":"Yuri Shimane","email":"","orcid":"","institution":"Georgia Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Yuri","middleName":"","lastName":"Shimane","suffix":""}],"badges":[],"createdAt":"2025-03-06 16:53:23","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6172452/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6172452/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":92060060,"identity":"6d838546-7630-4180-a8ea-49f42315c72d","added_by":"auto","created_at":"2025-09-24 07:56:23","extension":"json","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":4149,"visible":true,"origin":"","legend":"","description":"","filename":"abe1b9b205bf4b99a7dae3168f69a805.json","url":"https://assets-eu.researchsquare.com/files/rs-6172452/v1/32767f718fe5e15b0beef062.json"},{"id":104401046,"identity":"33449eeb-860a-44f6-8ab2-e6fd5fe42373","added_by":"auto","created_at":"2026-03-11 12:11:44","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":4634322,"visible":true,"origin":"","legend":"","description":"","filename":"JASSSCP4FullEphemLPO.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6172452/v1_covered_fe91e1f7-f223-455d-ab01-fe77487a26a6.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Geometry-Preserving Libration Point Orbit Design in High-Fidelity Ephemeris Model via Sequential Convex Programming","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":true,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Baseline Generation, High-Fidelity Ephemeris Model, Libration Point Orbit, Sequential Convex Programming","lastPublishedDoi":"10.21203/rs.3.rs-6172452/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6172452/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The design of libration point orbits (LPO) in high-fidelity ephemeris model (HFEM) is essential for mission design in the vicinity of libration points. 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