Research

RESEARCH INTERESTS

I am doing research in the area of applied dynamics with applications to the multi-body problem, low energy trajectory design, and chemical reaction dynamics. I have also done research on geometric mechanics of nonholonomic systems. Currently, my main research interest is on the control of DNA division via parametric resonance with a THz field.

Control of DNA Division via Parametric Resonance

Geometric Model Reduction and Structure Preserving Integrators for Stochastic Multi-scale Hamiltonian Systems (NSF-CMMI-092600).

Chemical Reaction Dynamics

Geometric Model Reduction and Structure Preserving Integrators for Stochastic Multi-scale Hamiltonian Systems (NSF-CMMI-092600).
Geometric Mechanics and Dynamical Systems Approach to the Theory and Computation of Chemical Reaction Rates (NSF-DMS-0505711).

Astrodynamics and Space Mission Design:

Spacecraft Dynamics near an Asteroid Pair.
Dynamical Systems, Three-Body Problem and Space Mission Design.
Formation Flight for Micro-satellites.
Optimal Control and Space Mission Design.

Nonholonomic Mechanics:

Optimal Control for Holonomic and Nonholonomic Mechanical Systems.
Hamiltonian and Lagrangian Approaches to Nonholonomic System.