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.
@article{arxiv.2509.14730,
title = {Multi-Vehicle Guidance for Formation Flight on Libration Point Orbits},
author = {Yuri Shimane and Purnanand Elango and Avishai Weiss},
journal= {arXiv preprint arXiv:2509.14730},
year = {2025}
}