Tootfinder

Robust Cislunar Navigation via LFT-Based $\mathcal{H}_\infty$ Filtering with Bearing-Only Measurements
Raktim Bhattacharya
https://arxiv.org/abs/2510.04942 https://

Robust Cislunar Navigation via LFT-Based $\mathcal{H}_\infty$ Filtering with Bearing-Only Measurements
This paper develops a robust estimation framework for cislunar navigation that embeds the Circular Restricted Three-Body Problem (CR3BP) dynamics and bearing-only optical measurements within a Linear Fractional Transformation (LFT) representation. A full-order $\mathcal{H}_\infty$ observer is synthesized with explicit $\mathcal{L}_2$ performance bounds. The formulation yields a nonlinear estimator that operates directly on the governing equations and avoids reliance on local linearizations. Dom…

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Comparing Normal Form Representations for Station-Keeping near Cislunar Libration Points
Carson Hunsberger, David Schwab, Roshan Eapen, Puneet Singla
https://arxiv.org/abs/2510.06368

Comparing Normal Form Representations for Station-Keeping near Cislunar Libration Points
The normal forms provide useful approximations for many trajectories of interest within the circular restricted three-body problem. This paper aims to thoroughly compare two of these forms: the Birkhoff normal form and the resonant normal form, highlighting the strengths of each for the representation of center manifold trajectories. A method of station-keeping is introduced, analogous to Floquet modes, in which the unstable component is minimized at specific points along a trajectory through i…

Crosslisted article(s) found for math.OC. https://arxiv.org/list/math.OC/new
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- Robust Cislunar Navigation via LFT-Based $\mathcal{H}_\infty$ Filtering with Bearing-Only Measure...
Raktim Bhattacharya

Adversarial Pursuits in Cislunar Space
Filippos Fotiadis, Quentin Rommel, Gregory Falco, Ufuk Topcu
https://arxiv.org/abs/2509.20330 https://arxiv.org/pdf/…

Adversarial Pursuits in Cislunar Space
Cislunar space is becoming a critical domain for future lunar and interplanetary missions, yet its remoteness, sparse infrastructure, and unstable dynamics create single points of failure. Adversaries in cislunar orbits can exploit these vulnerabilities to pursue and jam co-located communication relays, potentially severing communications between lunar missions and the Earth. We study a pursuit-evasion scenario between two spacecraft in a cislunar orbit, where the evader must avoid a pursuer-ja…

Lunar Time Ephemeris $\texttt{LTE440}$: definitions, algorithm and performance
Xu Lu, Tian-Ning Yang, Yi Xie
https://arxiv.org/abs/2509.18511 https://arxiv…