Bhanu Kumar Picture
Bhanu Kumar


School of Mathematics
School of Aerospace Engineering
Georgia Institute of Technology
Atlanta, GA, 30332

Email: bkumar30@gatech.edu


Curriculum Vitae (updated 23 Feb 2022)


I am a Ph.D. candidate and NASA Space Technology Research Fellow (NSTRF) in the School of Mathematics at Georgia Tech, advised by Prof. Rafael de la Llave. I am also an M.S. student in the Daniel Guggenheim School of Aerospace Engineering, Georgia Tech. I am an NSTRF visiting technologist at the NASA Jet Propulsion Laboratory, California Institute of Technology, where my mentor and research collaborator is Dr. Rodney Anderson.

Starting this fall, I will be an NSF postdoctoral research fellow at the Jet Propulsion Laboratory. I am also still looking for permanent academic or government research lab (including FFRDC) positions.


Research Interests

At a broad level, my interests lie in the application of tools and results from mathematical dynamical systems theory, both analytical and computational, to various problems in celestial mechanics and applied astrodynamics for space mission design. In particular, 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 tour design in the Jovian system (although our tools are general and applicable to other systems as well).


Journal and Conference Papers

  • 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

  • Using GPUs and the Parameterization Method for Rapid Search and Refinement of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems
    (with R. Anderson and R. de la Llave)
    Proceedings of the 2021 AAS/AIAA Space Flight Mechanics Meeting, 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