Dynamical structure of the motion around asteroids with uncertain gravity and solar radiation pressure

Feng, Jinglang; Santeramo, Daniele Antonio; Lizia, P. Di; Armellín, Roberto; Hou, Xiyun

doi:10.1016/j.actaastro.2021.05.023

Cited by 7 publications

(4 citation statements)

References 21 publications

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Section: Introductionmentioning

confidence: 99%

“…For the density propagation problem featuring the highly deformed and elongated density distribution after long-term propagations, to get accurate density in an efficient way, many practical techniques are applied within different method frameworks [4,13,23,27]. For example, for highly nonlinear problems, as shown by [4,27], the introduction of the domain splitting improves the density accuracy of the Differential Algebra (DA) method by subdividing the initial larger density domain into smaller subdomains. When tackling the long-term density propagation problem featuring highly deformed and elongated density distribution within the GMM framework, as shown by [23], hybrid Gaussian Mixture splitting techniques combining both the initial multidirectional splitting and adaptive splitting during the propagation, are necessary for the accurate density propagation, by allowing the smaller density domains for Gaussians both at the initial time and during the density propagation.…”

Section: Introductionmentioning

confidence: 99%

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A multi-segment alpha shape-based continuum method for long-term density propagation with bifurcation

Sun,

Li,

Trisolini

et al. 2024

Nonlinear Dyn

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This paper studies the bifurcation case for the planar phase space long-term density propagation problem, and presents an improved multi-segment continuum method for accurate and efficient long-term density propagation, by introducing the multi-segment method to the alpha shape triangulation-based linear interpolation method. The density evolution equation is formulated for the continuum density propagation under the influence of the solar radiation pressure and Earth's oblateness using semi-analytical equations. For the overall highly deformed and elongated density distribution for the bifurcation case, the multi-segment method is introduced to the alpha shape-based linear interpolation method to get accurate interpolated density, by dividing the overall density distribution into multiple segments and performing the linear interpolation within the actual non-convex hull of the sample distribution for each segment. Four segments are divided for the overall density distribution considering the Hamiltonian dynamic constraints on the solar angle domain. The superiority of the improved multi-segment alpha shape-based continuum method is demonstrated for accurate and efficient density propagation for the bifurcation case in the context of the high-altitude and high area-to-mass ratio satellite long-term propagation.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A multi-segment alpha shape-based continuum method for long-term density propagation with bifurcation

Sun,

Li,

Trisolini

et al. 2024

Nonlinear Dyn

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“…This technique was able to analyse the effects of non-spherical gravity uncertainties, and found that the motion is sensitive to variations in the 𝐶 22 term. Further analyses on the effect of uncertain SRP and asteroid mass was performed in [12,13]. These studies highlighted the importance of accounting for the effect of uncertainties on the stability of orbits around an asteroid.…”

Section: Introductionmentioning

confidence: 99%

Robust stability and mission performance of a CubeSat orbiting the Didymos binary asteroid system

et al. 2023

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“…Theoretically, the combined PDF can represent the real PDF with a large number of sub-Gaussians. For high-dimensional and nonlinear problems, as shown by Wittig et al (2015), Jia and Xin (2020), Feng et al (2021), the methodology of domain splitting can improve the accuracy of the uncertainty propagation.…”

Section: Introductionmentioning

confidence: 99%

Comparison of continuity equation and Gaussian mixture model for long-term density propagation using semi-analytical methods

Sun

Colombo

Trisolini

et al. 2022

Celest Mech Dyn Astron

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This paper compares the continuum evolution for density equation modelling and the Gaussian mixture model on the 2D phase space long-term density propagation problem in the context of high-altitude and high area-to-mass ratio satellite long-term propagation. The density evolution equation, a pure numerical and pointwise method for the density propagation, is formulated under the influence of solar radiation pressure and Earth’s oblateness using semi-analytical methods. Different from the density evolution equation and Monte Carlo techniques, for the Gaussian mixture model, the analytical calculation of the density is accessible from the first two statistical moments (i.e. the mean and the covariance matrix) corresponding to each sub-Gaussian distribution for an initial Gaussian density distribution. An insight is given into the phase space long-term density propagation problem subject to nonlinear dynamics. The efficiency and validity of the density propagation are demonstrated and compared between the density evolution equation and the Gaussian mixture model with respect to standard Monte Carlo techniques.

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Dynamical structure of the motion around asteroids with uncertain gravity and solar radiation pressure

Cited by 7 publications

References 21 publications

A multi-segment alpha shape-based continuum method for long-term density propagation with bifurcation

A multi-segment alpha shape-based continuum method for long-term density propagation with bifurcation

Robust stability and mission performance of a CubeSat orbiting the Didymos binary asteroid system

Comparison of continuity equation and Gaussian mixture model for long-term density propagation using semi-analytical methods

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