At a broad level, my interests lie in the application of tools and results from mathematical dynamical systems theory and symplectic geometry, both analytical and computational, to various problems in celestial mechanics and applied astrodynamics for space mission design. In brief, there are geometric structures, such as periodic orbits, invariant tori, and stable and unstable manifolds, which govern many of the important dynamical properties of multi-body celestial systems. I am interested in developing fast and accurate methods for computing these objects as well as for investigating the dynamics induced by them. I am also working on applications of these methods to current and relevant problems in astrodynamics, with a current focus on mission design in cislunar space and outer planet moon systems using mean motion resonances.

Selected Journal and Conference Papers

• Cislunar Resonant Transport and Heteroclinic Pathways: From 3:1 to 2:1 to L1
  (with A. Rawat, A.J. Rosengren, and S.D. Ross)
  Submitted, Preprint Link
  


• Multi-shooting parameterization methods for invariant manifolds and heteroclinics of 2 DOF Hamiltonian Poincaré maps, with applications to celestial resonant dynamics
  Submitted, Preprint Link
  


• Analysis of Unstable Resonant Orbits for Saturn Tour Design: Between Titan and Rhea
  Proceedings of the 2025 International Astronautical Congress, Paper Link
  


• Networks of Periodic Orbits in the Earth–Moon System Through a Regularized and Symplectic Lens
  (with A. Moreno)
  Proceedings of the 2025 AAS/AIAA Astrodynamics Specialist Conference, Paper Link
  


• Regions of Influence of Exterior Mean-Motion Resonances in the Earth–Moon System: Bifurcations, Separatrices, and Heteroclinic Pathways
  (with A. Rawat, A.J. Rosengren, and S.D. Ross)
  Proceedings of the 2025 AAS/AIAA Astrodynamics Specialist Conference, Paper Link
  


• Cislunar Mean-Motion Resonances: Definitions, Widths, and Comparisons with Resonant Satellites
  (with A. Rawat, A.J. Rosengren, and S.D. Ross)
  Revision under review for Journal of Guidance, Control, and Dynamics, Preprint Link
  


• A Survey of Oberon Mean Motion Resonant Unstable Orbit Properties and Connections for Uranian Tours
  (with R. Anderson)
  Proceedings of the 2024 AAS/AIAA Astrodynamics Specialist Conference, Paper Link
  


• 4th Body-Induced Secondary Resonance Overlapping Inside Unstable Resonant Orbit Families: a Jupiter-Ganymede 4:3 + Europa Case Study
  (with R. Anderson and R. de la Llave)
  Proceedings of the 2023 AAS/AIAA Astrodynamics Specialist Conference, Paper Link
  


• Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems
  (with R. Anderson and R. de la Llave)
  SIAM Journal on Applied Dynamical Systems, Paper Link, Preprint Link
  


• Transfers between Jupiter-Ganymede and Jupiter-Europa Resonant Tori In a Concentric Circular Restricted 4-Body Model
  (with R. Anderson and R. de la Llave)
  Acta Astronautica, Paper Link
  


• Computation and Analysis of Jupiter-Europa and Jupiter-Ganymede Resonant Orbits in the Planar Concentric Circular Restricted 4-Body Problem
  (with R. Anderson, R. de la Llave, and B. Gunter)
  Proceedings of the 2021 AAS/AIAA Astrodynamics Specialist Conference, Paper Link
  


• Rapid and Accurate Methods for Computing Whiskered Tori and their Manifolds in Periodically Perturbed Planar Circular Restricted 3-Body Problems
  (with R. Anderson and R. de la Llave)
  Celestial Mechanics and Dynamical Astronomy, Paper Link, Preprint Link
  


• High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem
  (with R. Anderson and R. de la Llave)
  Communications in Nonlinear Science and Numerical Simulation, Paper Link, Preprint Link