@inproceedings{64340f6a595c495c8fa77f60eddb53c9,

title = "The conjugate unscented transform and the principle of maximum entropy for probability density reconstruction: An application to the two body problem",

abstract = "This paper describes the quantification of uncertainty in a dynamical system by efficiently evaluating the moments of the state probability density function using the recently developed Conjugate Unscented Transform Method. The Conjugate Unscented Transform is a method by which one can evaluate the multidimensional expectation integrals, involving the Gaussian or Uniform probability density function, with fewer points than the equivalent Gaussian Quadratures. The efficacy of the proposed Conjugate Unscented Transform in capturing the higher order moments when compared to Unscented Transform, Gauss-Hermite Quadrature and Monte Carlo random samples is illustrated by means of a simple Two Body Problem involving the Earth and a satellite. Furthermore, these higher order moments are used to capture the non-Gaussian nature of the state probability density function at the required times by the Principle of Maximum Entropy.",

author = "Nagavenkat Adurthi and Puneet Singla",

year = "2014",

month = jan,

day = "1",

language = "English (US)",

isbn = "9780877036050",

series = "Advances in the Astronautical Sciences",

publisher = "Univelt Inc.",

pages = "1841--1857",

booktitle = "Astrodynamics 2013 - Advances in the Astronautical Sciences",

address = "United States",

note = "2013 AAS/AIAA Astrodynamics Specialist Conference, Astrodynamics 2013 ; Conference date: 11-08-2013 Through 15-08-2013",

}