Formulation and Analysis for Integrated Spacecraft Routing and Trajectory Design Problem

[2604.18826] Integrated Routing and Trajectory Design for Satellite Servicing Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Optimization and Control arXiv:2604.18826 (math) [Submitted on 20 Apr 2026 ( v1 ), last revised 28 Aug 2026 (this version, v3)] Title: Integrated Routing and Trajectory Design for Satellite Servicing Authors: Euihyeon Choi , Koki Ho View a PDF of the paper titled Integrated Routing and Trajectory Design for Satellite Servicing, by Euihyeon Choi and Koki Ho View PDF HTML (experimental) Abstract: This paper studies the integrated spacecraft routing and trajectory optimization problem for satellite servicing missions involving partial en-route propellant replenishment. Unlike terrestrial routing problems, spacecraft operate in a dynamic environment, and we need to optimize the spacecraft routing over a network with nonlinear and time-dependent trajectory costs. In this paper, we tackle this problem using two different formulations. The first formulation, referred to as the arc-based formulation, defines variables based on arcs and employs an iterative decoupling scheme that alternates between mixed-integer linear programming and sequential nonlinear trajectory optimization. The second formulation, referred to as the path-based formulation, defines variables based on paths/routes and leverages column generation and a labeling algorithm to accelerate the identification of promising routes. Through a geosynchronous satellite servicing case study and numerical experiments, we quantify the computational trade-offs between these two formulations in terms of the solution optimality, computational time, and robustness against non-converging or trivial solutions. Subjects: Optimization and Control (math.OC) Cite as: arXiv:2604.18826 [math.OC] (or arXiv:2604.18826v3 [math.OC] for this version) https://doi.org/10.48550/arXiv.2604.18826 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Journal of Spacecraft and Rockets, 2026 Related DOI : https://doi.org/10.2514/1.A36803 Focus to learn more DOI(s) linking to related resources Submission history From: Euihyeon Choi [ view email ] [v1] Mon, 20 Apr 2026 20:46:36 UTC (770 KB) [v2] Fri, 14 Aug 2026 20:32:17 UTC (960 KB) [v3] Fri, 28 Aug 2026 18:09:34 UTC (991 KB) Full-text links: Access Paper: View a PDF of the paper titled Integrated Routing and Trajectory Design for Satellite Servicing, by Euihyeon Choi and Koki Ho View PDF HTML (experimental) TeX Source view license Current browse context: math.OC < prev | next > new | recent | 2026-04 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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