Accurate Uncertainty Characterization of Impulsive Thrust Maneuvers in the Restricted Three Body Problem

Uncertainty propagation in the circular restricted three body problem is traditionally carried out using Cartesian coordinates. In that case, both magnitude and direction information of velocity are embedded into the Cartesian components, and are inherently propagated together. An alternate model is proposed in this work for the propagation of velocity direction independent of its magnitude. The advantage of this feature for uncertainty characterization, especially for impulsive transfers, is discussed in this work with the help of case studies. In order to carry out these studies, computationally efficient strategies to propagate the statistical moments using deterministic sampling, and to evaluate the sensitivities of a reference trajectory through a non-intrusive data-driven approach are outlined. These sensitivities facilitate a polynomial approximation of the states rapidly, in the neighborhood of the reference trajectory, thereby allowing the generation of state histograms to study future consequences of initial uncertainties.

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s40295-023-00394-8

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Work Title Accurate Uncertainty Characterization of Impulsive Thrust Maneuvers in the Restricted Three Body Problem
Access
Open Access
Creators
  1. Sharad Sharan
  2. Roshan Eapen
  3. Puneet Singla
  4. Robert Melton
Keyword
  1. Uncertainty propagation
  2. CR3BP
  3. Conjugate Unscented Transform
  4. Statistical moments
  5. State transition tensor
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Journal of the Astronautical Sciences
Publication Date September 14, 2023
Publisher Identifier (DOI)
  1. https://doi.org/10.1007/s40295-023-00394-8
Deposited May 13, 2024

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Version 1
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  • Created
  • Added JASS_ShaEapSinMel_v2-1.pdf
  • Added Creator Sharad Sharan
  • Added Creator Roshan Thomas Eapen
  • Added Creator Puneet Singla
  • Added Creator Robert G Melton
  • Published
  • Updated
  • Updated Keyword Show Changes
    Keyword
    • Uncertainty propagation, CR3BP, Conjugate Unscented Transform, Statistical moments, State transition tensor
  • Renamed Creator Roshan Eapen Show Changes
    • Roshan Thomas Eapen
    • Roshan Eapen
  • Renamed Creator Robert Melton Show Changes
    • Robert G Melton
    • Robert Melton