{"ID":2869212,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.14730","arxiv_id":"2509.14730","title":"Multi-Vehicle Guidance for Formation Flight on Libration Point Orbits","abstract":"The multiple spacecraft guidance problem for proximity flight in libration point orbit is considered. A nonlinear optimal control problem with continuous-time path constraints enforcing minimum separation between each spacecraft is formulated. The path constraints are enforced via an isoperimetric reformulation, and the problem is solved via a sequential convex programming. The proposed approach does not necessitate specific dynamic system structures to provide continuous-time guarantees for minimum separation within a fuel-optimal solution. The optimal control problem is deployed within a model predictive control scheme and demonstrated in the ephemeris model dynamics.","short_abstract":"The multiple spacecraft guidance problem for proximity flight in libration point orbit is considered. A nonlinear optimal control problem with continuous-time path constraints enforcing minimum separation between each spacecraft is formulated. The path constraints are enforced via an isoperimetric reformulation, and th...","url_abs":"https://arxiv.org/abs/2509.14730","url_pdf":"https://arxiv.org/pdf/2509.14730v1","authors":"[\"Yuri Shimane\",\"Purnanand Elango\",\"Avishai Weiss\"]","published":"2025-09-18T08:32:10Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}