A probabilistic approach for reachability set computation for efficient space situational awareness

Zach Hall, Puneet Singla

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This focus of this paper is the application of the polynomial approximation method to obtain satellite reachability sets for Space Situational Awareness (SSA) applications. Least squares coefficients for the approximation of the final state solution are calculated in a Jacobian free and computationally tractable manner. The numerical integration method used in the polynomial approximation technique exploits the symmetric structure of the input variable probability density functions (pdf’s) to compute the density function for the solution space. The Conjugate Unscented Transformation (CUT) method is utilized for this purpose, and is used to calculate the coefficients with a minimal number of full model propagations. Numerical simulation results are given to validate the approach.

Original languageEnglish (US)
Title of host publicationSpaceflight Mechanics 2019
EditorsFrancesco Topputo, Andrew J. Sinclair, Matthew P. Wilkins, Renato Zanetti
PublisherUnivelt Inc.
Pages3001-3020
Number of pages20
ISBN (Print)9780877036593
StatePublished - Jan 1 2019
Event29th AAS/AIAA Space Flight Mechanics Meeting, 2019 - Maui, United States
Duration: Jan 13 2019Jan 17 2019

Publication series

NameAdvances in the Astronautical Sciences
Volume168
ISSN (Print)0065-3438

Conference

Conference29th AAS/AIAA Space Flight Mechanics Meeting, 2019
CountryUnited States
CityMaui
Period1/13/191/17/19

Fingerprint

situational awareness
Polynomial approximation
Probability density function
polynomials
approximation
Satellites
coefficients
probability density function
probability density functions
numerical integration
Computer simulation
propagation
simulation
method

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Hall, Z., & Singla, P. (2019). A probabilistic approach for reachability set computation for efficient space situational awareness. In F. Topputo, A. J. Sinclair, M. P. Wilkins, & R. Zanetti (Eds.), Spaceflight Mechanics 2019 (pp. 3001-3020). [AAS 19-437] (Advances in the Astronautical Sciences; Vol. 168). Univelt Inc..
Hall, Zach ; Singla, Puneet. / A probabilistic approach for reachability set computation for efficient space situational awareness. Spaceflight Mechanics 2019. editor / Francesco Topputo ; Andrew J. Sinclair ; Matthew P. Wilkins ; Renato Zanetti. Univelt Inc., 2019. pp. 3001-3020 (Advances in the Astronautical Sciences).
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Hall, Z & Singla, P 2019, A probabilistic approach for reachability set computation for efficient space situational awareness. in F Topputo, AJ Sinclair, MP Wilkins & R Zanetti (eds), Spaceflight Mechanics 2019., AAS 19-437, Advances in the Astronautical Sciences, vol. 168, Univelt Inc., pp. 3001-3020, 29th AAS/AIAA Space Flight Mechanics Meeting, 2019, Maui, United States, 1/13/19.

A probabilistic approach for reachability set computation for efficient space situational awareness. / Hall, Zach; Singla, Puneet.

Spaceflight Mechanics 2019. ed. / Francesco Topputo; Andrew J. Sinclair; Matthew P. Wilkins; Renato Zanetti. Univelt Inc., 2019. p. 3001-3020 AAS 19-437 (Advances in the Astronautical Sciences; Vol. 168).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Hall Z, Singla P. A probabilistic approach for reachability set computation for efficient space situational awareness. In Topputo F, Sinclair AJ, Wilkins MP, Zanetti R, editors, Spaceflight Mechanics 2019. Univelt Inc. 2019. p. 3001-3020. AAS 19-437. (Advances in the Astronautical Sciences).