Mathematical frameworks, state-of-the-art algorithms at the intersection of astrodynamics, control theory, estimation theory and numerical optimization to advance capabilities in cislunar and deep space.
Active Projects
Concurrent threads spanning SDA design, trajectory optimization, maneuver detection, ML guidance, and sensor fusion.
Submodular D-optimality optimization of lunar surface sensor placements for robust cislunar RSO custody. Integrates terrain-aware bright-body exclusion with IEKF-based FIM tracking over full RSO catalogs using GSDE framework for near-real-time placement.
Quantifies how quickly a hostile actor can degrade a cislunar SDA constellation's tracking coverage through targeted removal or denial of individual observer nodes, across L1/L2 Halo, NRHO, and DRO families. Establishes attrition-rate metrics for resilient constellation design under adversarial threat models.
GP surrogates with ARD kernels over the optimal cost landscape for low-thrust transfers across NHL/SHL orbit families. Probabilistic reachability level-sets quantify achievable destinations under navigation error without repeated TPBVP solves. Manifold-seeded initialization.
Computationally efficient multi-view stereo pipeline for resource-constrained onboard planetary lander systems. Sparse plane hypotheses seed dense depth recovery via iterative photometric consistency refinement, enabling high-fidelity 3D terrain reconstruction under tight latency budgets.
Expand reachability framework to leverage quasi-periodic invariant structures seeded from periodic orbits in the CR3BP. Develop cost functions that define novel and relevant metrics and compare solutions in torus and phase spaces.
Sponsored Research Reviews
Year-1 technical review (September 2025 to September 2026) presented by Dr. Singh at the AFOSR Physics of Sensing and Astrodynamics Program Review. The slides cover constellation design and optimization with estimator-in-the-loop architecture search over periodic orbit families, maneuver identification through modal innovation analysis, Year-2 efforts on adversarial attrition, reachability maps and lunar surface sensor networks, and publications and student involvement.
Prior Work
Alvarado · Earl · Singh.
Mergen · Singh.
Blender · Singh. Presented at 2025 AAS/AIAA Astrodynamics Specialist Conference, Boston, MA.
Alvarado · Earl · Singh
Chan · Singh
Diehl · Singh
Shayda · Singh
Alvarado · Singh
Kim · Singh
Kim · Singh
Kim · Singh
Alvarado · Singh