3 papers
math.DS2026
Elliptical Lunar Frozen Orbit Constellations: Torus-Based Design and Analysis
Beom Park, Kathleen C. Howell, Daniel Brack
Elliptical Lunar Frozen Orbits (ELFOs) are attractive candidates for lunar satellite constellations supporting lunar south pole exploration. Building on prior frequency-based orbit…
math.DS2026
Linking Averaged and Unaveraged Three-Body Dynamics Near Smaller Primaries: Symmetric Periodic Orbits
Beom Park, Kathleen C. Howell
Within a three-body system comprised of two celestial bodies and a spacecraft, the dynamical environment near a smaller primary is significantly perturbed, motivating a balance bet…
math.DS2025
A Frequency-Domain Differential Corrector for Quasi-Periodic Trajectory Design and Analysis
Beom Park, Kathleen C. Howell, Shaun Stewart
This paper introduces the Frequency-Domain Differential Corrector (FDDC), a model-agnostic approach for constructing quasi-periodic orbits (QPOs) across a range of dynamical regime…