Debris re-entry modeling using high dimensional derivative based uncertainty quantification

Piyush M. Mehta, Martin Kubicek, Edmondo Minisci, Massimiliano Vasile

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

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Abstract

Well-known tools developed for satellite and debris re-entry perform break-up and trajectory simulations in a deterministic sense and do not perform any uncertainty treatment. In this paper, we present work towards implementing uncertainty treatment into a Free Open Source Tool for Re-entry of Asteroids and Space Debris (FOSTRAD). The uncertainty treatment in this work is limited to aerodynamic trajectory simulation. Results for the effect of uncertain parameters on trajectory simulation of a simple spherical object is presented. The work uses a novel uncertainty quantification approach based on a new derivation of the high dimensional model representation method. Both aleatoric and epistemic uncertainties are considered in this work. Uncertain atmospheric parameters considered include density, temperature, composition, and free-stream air heat capacity. Uncertain model parameters considered include object flight path angle, object speed, object mass, and direction angle. Drag is the only aerodynamic force considered in the planar re-entry problem. Results indicate that for initial conditions corresponding to re-entry from a circular orbit, the probabilistic distributions for the impact location are far from the typically used Gaussian or ellipsoids and the high probability impact location along the longitudinal direction can be spread over ∼2000 km, while the overall distribution can be spread over ∼4000 km. High probability impact location along the lateral direction can be spread over ∼400 km.

Original languageEnglish
Title of host publicationAstrodynamics 2015
Subtitle of host publicationProceedings of the AAS/AIAA Astrodynamics Specialist Conference held August 9–13, 2015, Vail, Colorado, U.S.A.
EditorsManoranjan Majji, James D. Turner, Geoff G. Wawrzyniak, William Todd Cerven
Place of PublicationSan Diego, California
Pages3993-4011
Number of pages19
Volume156
Publication statusPublished - 2016
EventAAS/AIAA Astrodynamics Specialist Conference, ASC 2015 - Vail, United States
Duration: 9 Aug 201513 Aug 2015

Publication series

NameAdvances in Astronautical Sciences
PublisherAmerican Astronautical Society
ISSN (Print)0065-3438

Conference

ConferenceAAS/AIAA Astrodynamics Specialist Conference, ASC 2015
CountryUnited States
CityVail
Period9/08/1513/08/15

Fingerprint

reentry
Reentry
debris
Debris
trajectory
trajectories
Derivatives
aerodynamics
spacecraft breakup
modeling
simulation
Trajectories
aerodynamic forces
space debris
flight paths
heat capacity
free flow
circular orbits
ellipsoids
asteroids

Keywords

  • satellite debris
  • debris re-entry
  • space debris
  • trajectory simulations
  • uncertainty treatment
  • aleatoric
  • epistemic
  • atmospheric parameters

Cite this

Mehta, P. M., Kubicek, M., Minisci, E., & Vasile, M. (2016). Debris re-entry modeling using high dimensional derivative based uncertainty quantification. In M. Majji, J. D. Turner, G. G. Wawrzyniak, & W. T. Cerven (Eds.), Astrodynamics 2015: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference held August 9–13, 2015, Vail, Colorado, U.S.A. (Vol. 156, pp. 3993-4011). [AAS 15-557] (Advances in Astronautical Sciences). San Diego, California.
Mehta, Piyush M. ; Kubicek, Martin ; Minisci, Edmondo ; Vasile, Massimiliano. / Debris re-entry modeling using high dimensional derivative based uncertainty quantification. Astrodynamics 2015: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference held August 9–13, 2015, Vail, Colorado, U.S.A.. editor / Manoranjan Majji ; James D. Turner ; Geoff G. Wawrzyniak ; William Todd Cerven. Vol. 156 San Diego, California, 2016. pp. 3993-4011 (Advances in Astronautical Sciences).
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title = "Debris re-entry modeling using high dimensional derivative based uncertainty quantification",
abstract = "Well-known tools developed for satellite and debris re-entry perform break-up and trajectory simulations in a deterministic sense and do not perform any uncertainty treatment. In this paper, we present work towards implementing uncertainty treatment into a Free Open Source Tool for Re-entry of Asteroids and Space Debris (FOSTRAD). The uncertainty treatment in this work is limited to aerodynamic trajectory simulation. Results for the effect of uncertain parameters on trajectory simulation of a simple spherical object is presented. The work uses a novel uncertainty quantification approach based on a new derivation of the high dimensional model representation method. Both aleatoric and epistemic uncertainties are considered in this work. Uncertain atmospheric parameters considered include density, temperature, composition, and free-stream air heat capacity. Uncertain model parameters considered include object flight path angle, object speed, object mass, and direction angle. Drag is the only aerodynamic force considered in the planar re-entry problem. Results indicate that for initial conditions corresponding to re-entry from a circular orbit, the probabilistic distributions for the impact location are far from the typically used Gaussian or ellipsoids and the high probability impact location along the longitudinal direction can be spread over ∼2000 km, while the overall distribution can be spread over ∼4000 km. High probability impact location along the lateral direction can be spread over ∼400 km.",
keywords = "satellite debris, debris re-entry, space debris, trajectory simulations, uncertainty treatment, aleatoric, epistemic, atmospheric parameters",
author = "Mehta, {Piyush M.} and Martin Kubicek and Edmondo Minisci and Massimiliano Vasile",
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Mehta, PM, Kubicek, M, Minisci, E & Vasile, M 2016, Debris re-entry modeling using high dimensional derivative based uncertainty quantification. in M Majji, JD Turner, GG Wawrzyniak & WT Cerven (eds), Astrodynamics 2015: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference held August 9–13, 2015, Vail, Colorado, U.S.A.. vol. 156, AAS 15-557, Advances in Astronautical Sciences, San Diego, California, pp. 3993-4011, AAS/AIAA Astrodynamics Specialist Conference, ASC 2015, Vail, United States, 9/08/15.

Debris re-entry modeling using high dimensional derivative based uncertainty quantification. / Mehta, Piyush M.; Kubicek, Martin; Minisci, Edmondo; Vasile, Massimiliano.

Astrodynamics 2015: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference held August 9–13, 2015, Vail, Colorado, U.S.A.. ed. / Manoranjan Majji; James D. Turner; Geoff G. Wawrzyniak; William Todd Cerven. Vol. 156 San Diego, California, 2016. p. 3993-4011 AAS 15-557 (Advances in Astronautical Sciences).

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

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Mehta PM, Kubicek M, Minisci E, Vasile M. Debris re-entry modeling using high dimensional derivative based uncertainty quantification. In Majji M, Turner JD, Wawrzyniak GG, Cerven WT, editors, Astrodynamics 2015: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference held August 9–13, 2015, Vail, Colorado, U.S.A.. Vol. 156. San Diego, California. 2016. p. 3993-4011. AAS 15-557. (Advances in Astronautical Sciences).