Generating Solutions Method for Pontryagin-based Optimization Coplanar Transfers in a Central Gravitational Field

Generating Solutions Method for Pontryagin-based Optimization Coplanar Transfers in a Central Gravitational Field | 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 Generating Solutions Method for Pontryagin-based Optimization Coplanar Transfers in a Central Gravitational Field Sergey Zaborsky, Georgiy Ivanov This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4251025/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 feasibility of utilizing the results of optimizing coplanar impulse transfers as generating solutions for Pontryagin-based optimization is demonstrated. The method of Poincaré continuation along a parameter is employed to determine the initial integration conditions. The thrust level of the engine serves as the parameter. Thus, the difficult search for initial approximations for the function of conjugate variables in solving optimization problems is eliminated. The application of the method makes it possible to obtain new solutions even for obvious coplanar maneuvers. Numerical examples and graphs illustrate the results obtained, which are difficult to predict. Pontryagin-based optimization Generating solutions Impulsive transfer 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. 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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-4251025","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":290621322,"identity":"cdd9033b-6e89-486b-a26e-90eb359a144b","order_by":0,"name":"Sergey Zaborsky","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABB0lEQVRIie2RMUsDMRTHXzhIl5Nb39T7CikBQeqHiQh3S7s62sJBXCquLfV7uDgEAudyOAcUtBSKY7plUDBy1EG43Co0v+XPg/eD/+MBRCL/kHze5gzwJxQMexWm2kwOCu9X4I9yMe9VBrfbj70Emq2reu8aXT7c6c07edSdSr54Oj1bSUjxtb5cp0ZP703BGey6FTAF5SfS1zITnoDV0yWmFEEFlLcd5V8SWO4V4qwuMWsGLqgYmmyJBMG8Ar6YQJhQCCmsKShZPKMY+VuStClHSyw4ClV2n39TJ9Zdnc+GL5Umrh7nmOmNtWrcXQyAIqF4GKo2REjwX7Tw+Ttch3cjkUjkKPkGT7hYEhtX7EMAAAAASUVORK5CYII=","orcid":"","institution":"S. 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