Summary of High Area-to-Mass Ratio (HAMR)


In-Orbit Tracking of High Area-to-Mass Ratio Space Objects


Singla, Puneet. 2016. “Certain Thoughts on Uncertainty Analysis for Dynamical Systems.” Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, August 17.

The fusion of observational data with numerical simulation promises to provide greater understanding of physical phenomenon than either approach alone can achieve.

The most critical challenge here is to provide a quantitative assessment of how closely our estimates reflect reality in the presence of model uncertainty as well as measurement errors and uncertainty.

Uncertainty Propagation: Nonlinear Systems

  • Approximate Solution to exact problem: Multiple-model estimation method, Unscented Kalman Filter (UKF), Monte Carlo (MC) methods.
  • Exact solution to approximate problem: Extended Kalman Filter (EKF), Gaussian closure, Stochastic Linearization…

这两者的区别在哪里?为什么EKF是exact solution?

Fokker-Planck-Kolmogorov equation (FPKE)

With sufficient number of Gaussian components, any pdf can be approximated as closely as desired.