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

brack_inorbit_2017

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

这篇的intro介绍了许多新内容,值得学习

Singla, Puneet. 2016. “Certain Thoughts on Uncertainty Analysis for Dynamical Systems.” Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, August 17. http://lairs.eng.buffalo.edu/wiki/images/a/ac/SinglaTalk.pdf.

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.