Uncertainty propagation in orbital dynamics via Galerkin projection of the Fokker-Planck Equation

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Published inAdvances in space research Vol. 73; no. 1; pp. 53 - 63
Main Authors Acciarini, Giacomo, Greco, Cristian, Vasile, Massimiliano
Format Journal Article
LanguageEnglish
Published 01.01.2024
Online AccessGet full text
ISSN0273-1177
DOI10.1016/j.asr.2023.11.042

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Author Acciarini, Giacomo
Vasile, Massimiliano
Greco, Cristian
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References De Vylder (10.1016/j.asr.2023.11.042_b0035) 1978; 1978
Zorzano (10.1016/j.asr.2023.11.042_b0130) 1999; 98
Clifford (10.1016/j.asr.2023.11.042_b0025) 1871; 1
McLachlan (10.1016/j.asr.2023.11.042_b0105) 2019; 6
DeMars (10.1016/j.asr.2023.11.042_b0040) 2013; 36
Baydin (10.1016/j.asr.2023.11.042_b0015) 2018; 18
Gardiner (10.1016/j.asr.2023.11.042_b0060) 2009; volume 4
Rowley (10.1016/j.asr.2023.11.042_b0115) 2004; 189
Bradbury (10.1016/j.asr.2023.11.042_b0020) 2018; 0.2, 5
Kumar (10.1016/j.asr.2023.11.042_b0090) 2006; 31
Armellin (10.1016/j.asr.2023.11.042_b0010) 2010; 107
Kullback (10.1016/j.asr.2023.11.042_b0080) 1997
10.1016/j.asr.2023.11.042_b0005
Corliss (10.1016/j.asr.2023.11.042_b0030) 1988
Itô (10.1016/j.asr.2023.11.042_b0070) 1951; 4
Luo (10.1016/j.asr.2023.11.042_b0095) 2017; 89
Di Carlo (10.1016/j.asr.2023.11.042_b0045) 2017; 59
Servadio (10.1016/j.asr.2023.11.042_b0120) 2023
Evans (10.1016/j.asr.2023.11.042_b0055) 2012; volume 82
Kumar (10.1016/j.asr.2023.11.042_b0085) 2010; 25
Jones (10.1016/j.asr.2023.11.042_b0075) 2019; 155
Griewank (10.1016/j.asr.2023.11.042_b0065) 2003; volume 2
Sun (10.1016/j.asr.2023.11.042_b0125) 2016; 124
Risken (10.1016/j.asr.2023.11.042_b0110) 1996
Dick (10.1016/j.asr.2023.11.042_b0050) 2013; 22
Margossian (10.1016/j.asr.2023.11.042_b0100) 2019; 9
References_xml – volume: 22
  start-page: 133
  year: 2013
  ident: 10.1016/j.asr.2023.11.042_b0050
  article-title: High-dimensional integration: the quasi-monte carlo way
  publication-title: Acta Numer.
  doi: 10.1017/S0962492913000044
– start-page: 6
  year: 1997
  ident: 10.1016/j.asr.2023.11.042_b0080
– start-page: 1
  year: 2023
  ident: 10.1016/j.asr.2023.11.042_b0120
  article-title: Uncertainty propagation and filtering via the koopman operator in astrodynamics
  publication-title: J. Spacecr. Rock.
  doi: 10.2514/1.A35752
– volume: 89
  start-page: 23
  year: 2017
  ident: 10.1016/j.asr.2023.11.042_b0095
  article-title: A review of uncertainty propagation in orbital mechanics
  publication-title: Prog. Aerosp. Sci.
  doi: 10.1016/j.paerosci.2016.12.002
– volume: 98
  start-page: 109
  issue: 2–3
  year: 1999
  ident: 10.1016/j.asr.2023.11.042_b0130
  article-title: Numerical solution of two dimensional fokker—planck equations
  publication-title: Appl. Math. Comput.
– volume: volume 4
  start-page: 117
  year: 2009
  ident: 10.1016/j.asr.2023.11.042_b0060
– volume: 25
  start-page: 323
  issue: 3
  year: 2010
  ident: 10.1016/j.asr.2023.11.042_b0085
  article-title: A semianalytic meshless approach to the transient fokker–planck equation
  publication-title: Probab. Eng. Mech.
  doi: 10.1016/j.probengmech.2010.01.006
– start-page: 127
  year: 1988
  ident: 10.1016/j.asr.2023.11.042_b0030
  article-title: Applications of differentiation arithmetic
– volume: 1
  start-page: 381
  issue: 1
  year: 1871
  ident: 10.1016/j.asr.2023.11.042_b0025
  article-title: Preliminary sketch of biquaternions
  publication-title: Proc. London Math. Soc.
  doi: 10.1112/plms/s1-4.1.381
– volume: 6
  start-page: 355
  year: 2019
  ident: 10.1016/j.asr.2023.11.042_b0105
  article-title: Finite mixture models
  publication-title: Annu. Rev. Stat. Its Appl.
  doi: 10.1146/annurev-statistics-031017-100325
– start-page: 63
  year: 1996
  ident: 10.1016/j.asr.2023.11.042_b0110
  article-title: Fokker-planck equation
– volume: 1978
  start-page: 114
  issue: 2
  year: 1978
  ident: 10.1016/j.asr.2023.11.042_b0035
  article-title: A practical solution to the problem of ultimate ruin probability
  publication-title: Scand. Actuar. J.
  doi: 10.1080/03461238.1978.10419484
– volume: 4
  start-page: 1
  year: 1951
  ident: 10.1016/j.asr.2023.11.042_b0070
– volume: 59
  start-page: 1234
  issue: 5
  year: 2017
  ident: 10.1016/j.asr.2023.11.042_b0045
  article-title: Automatic trajectory planning for low-thrust active removal mission in low-earth orbit
  publication-title: Adv. Space Res.
  doi: 10.1016/j.asr.2016.11.033
– volume: 18
  year: 2018
  ident: 10.1016/j.asr.2023.11.042_b0015
  article-title: Automatic differentiation in machine learning: a survey
  publication-title: J. Mach. Learn. Res.
– volume: 124
  start-page: 269
  issue: 3
  year: 2016
  ident: 10.1016/j.asr.2023.11.042_b0125
  article-title: Uncertainty propagation in orbital mechanics via tensor decomposition
  publication-title: Celestial Mech. Dynam. Astron.
  doi: 10.1007/s10569-015-9662-z
– volume: 36
  start-page: 1047
  issue: 4
  year: 2013
  ident: 10.1016/j.asr.2023.11.042_b0040
  article-title: Entropy-based approach for uncertainty propagation of nonlinear dynamical systems
  publication-title: J. Guid., Control, Dynam.
  doi: 10.2514/1.58987
– volume: volume 82
  year: 2012
  ident: 10.1016/j.asr.2023.11.042_b0055
– volume: 155
  start-page: 406
  year: 2019
  ident: 10.1016/j.asr.2023.11.042_b0075
  article-title: Multi-fidelity orbit uncertainty propagation
  publication-title: Acta Astronaut.
  doi: 10.1016/j.actaastro.2018.10.023
– volume: 189
  start-page: 115
  issue: 1–2
  year: 2004
  ident: 10.1016/j.asr.2023.11.042_b0115
  article-title: Model reduction for compressible flows using pod and galerkin projection
  publication-title: Physica D
  doi: 10.1016/j.physd.2003.03.001
– volume: volume 2
  start-page: 45
  year: 2003
  ident: 10.1016/j.asr.2023.11.042_b0065
  article-title: Introduction to automatic differentiation
– volume: 0.2, 5
  start-page: 14
  year: 2018
  ident: 10.1016/j.asr.2023.11.042_b0020
  article-title: Jax: composable transformations of python+ numpy programs
  publication-title: Version
– volume: 9
  start-page: e1305
  issue: 4
  year: 2019
  ident: 10.1016/j.asr.2023.11.042_b0100
  article-title: A review of automatic differentiation and its efficient implementation
  publication-title: Wiley Interdiscip. Rev.: Data Mining Knowledge Discov.
– ident: 10.1016/j.asr.2023.11.042_b0005
– volume: 107
  start-page: 451
  issue: 4
  year: 2010
  ident: 10.1016/j.asr.2023.11.042_b0010
  article-title: Asteroid close encounters characterization using differential algebra: the case of apophis
  publication-title: Celest. Mech. Dynam. Astron.
  doi: 10.1007/s10569-010-9283-5
– volume: 31
  start-page: 445
  issue: 4
  year: 2006
  ident: 10.1016/j.asr.2023.11.042_b0090
  article-title: Solution of fokker-planck equation by finite element and finite difference methods for nonlinear systems
  publication-title: Sadhana
  doi: 10.1007/BF02716786
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