TY - GEN
T1 - Collision and re-entry analysis under aleatory and epistemic uncertainty
AU - Tardioli, Chiara
AU - Vasile, Massimiliano
N1 - This paper was originally presented at the AAS/AIAA Astrodynamics Specialist Conference held August 9-13, 2015, Vail, Colorado, U.S.A., and was originally published in the American Astronautical Society (AAS) publication Astrodynamics 2015, edited by Manoranjan Majji, James D. Turner, Geoff G. Wawrzyniak and William Todd Cerven, American Astronautical Society (AAS) Advances in the Astronautical Sciences, Volume 156, 2016, pp. 4205-4220 (Copyright © 2016 by American Astronautical Society Publications Office, P.O. Box 28130, San Diego, CA 92198, U.S.A.; Web Site: http://www.univelt.com
PY - 2016
Y1 - 2016
N2 - This paper presents an approach to the design of optimal collision avoidance and re-entry maneuvers considering different types of uncertainty in initial conditions and model parameters. The uncertainty is propagated through the dynamics, with a non-intrusive approach, based on multivariate Tchebycheff series, to form a polynomial representation of the final states. The collision probability, in the cases of precise and imprecise probability measures, is computed considering the intersection between the uncertainty region of the end states of the spacecraft and a reference sphere. The re-entry probability, instead, is computed considering the intersection between the uncertainty region of the end states of the spacecraft and the atmosphere.
AB - This paper presents an approach to the design of optimal collision avoidance and re-entry maneuvers considering different types of uncertainty in initial conditions and model parameters. The uncertainty is propagated through the dynamics, with a non-intrusive approach, based on multivariate Tchebycheff series, to form a polynomial representation of the final states. The collision probability, in the cases of precise and imprecise probability measures, is computed considering the intersection between the uncertainty region of the end states of the spacecraft and a reference sphere. The re-entry probability, instead, is computed considering the intersection between the uncertainty region of the end states of the spacecraft and the atmosphere.
KW - optimal collision avoidance
KW - re-entry operations
KW - spacecraft
KW - Tchebycheff series
KW - nonlinear
UR - http://www.scopus.com/inward/record.url?scp=85007366004&partnerID=8YFLogxK
UR - http://www.univelt.com/book=5315
UR - http://www.space-flight.org/docs/2015_astro/2015_astro.html
UR - http://www.univelt.com/book=5548
M3 - Conference contribution book
AN - SCOPUS:85007366004
SN - 9780877036296
VL - 156
T3 - Advances in Astronautical Sciences
SP - 4205
EP - 4220
BT - Astrodynamics 2015
A2 - Majji, Manoranjan
A2 - Turner, James D.
A2 - Wawrzyniak, Geoff G.
A2 - Cerven, William Todd
CY - San Diego, California
T2 - AAS/AIAA Astrodynamics Specialist Conference, ASC 2015
Y2 - 9 August 2015 through 13 August 2015
ER -