6 papers
Accounting for Solar Radiation Pressure in the Hamiltonian Normal Form of the Elliptic Restricted Three-Body Problem
Carson Hunsberger, David Schwab, Roshan Eapen +1
Hamiltonian normal forms allow for the analytical approximation of center manifold trajectories and their invariant manifolds through the separation of the saddle and center subspa…
Non-Gaussian Distribution Steering in Nonlinear Dynamics with Conjugate Unscented Transformation
Daniel C. Qi, Kenshiro Oguri, Puneet Singla +1
In highly nonlinear systems such as the ones commonly found in astrodynamics, Gaussian distributions generally evolve into non-Gaussian distributions. This paper introduces a metho…
Comparing Normal Form Representations for Station-Keeping near Cislunar Libration Points
Carson Hunsberger, David Schwab, Roshan Eapen +1
The normal forms provide useful approximations for many trajectories of interest within the circular restricted three-body problem. This paper aims to thoroughly compare two of the…
Stochastic analysis of impulsive thrust uncertainties in the CR3BP
Sharad Sharan, Amit Jain, Roshan T. Eapen +1
This paper employs an alternate dynamical model of the circular restricted three body problem to quantify uncertainties associated with spacecraft thrusting maneuvers. A non-produc…
A Hamilton-Jacobi Approach for Nonlinear Model Predictive Control in Applications with Navigational Uncertainty
Amit Jain, Roshan T. Eapen, Puneet Singla
This paper introduces a novel methodology that leverages the Hamilton-Jacobi solution to enhance non-linear model predictive control (MPC) in scenarios affected by navigational unc…
Leveraging Hamiltonian Structure for Accurate Uncertainty Propagation
Amit Jain, Puneet Singla, Roshan Eapen
In this work, we leverage the Hamiltonian kind structure for accurate uncertainty propagation through a nonlinear dynamical system. The developed approach utilizes the fact that th…