Interpolation and Integration of Phase Space Density for Estimation of Fragmentation Cloud Distribution Article Swipe
To calculate the effects of on-orbit fragmentations on current or future space missions, accurate estimates of the fragment density and its time evolution are required. Current operational tools estimate the risks involved through representative objects. Such tools, however, cannot accurately estimate the fragment density at any point in space and time. Rather, they directly calculate the number of close approaches from the representative objects. As such, they require a large number of Monte Carlo (MC) simulations to accurately find the collision risk over a large domain. Instead, the continuity equation can be applied to model the fragment density as a continuum, and propagate it forward in time. To model the evolution in any orbital region, the continuum can be propagated semi-analytically along its characteristics. The difficulty arises in estimating the density in between the cloud of samples. Here, the underlying density distribution is estimated by fitting a Gaussian Mixture Model (GMM) to the characteristics. An example of a break-up in three dimensions is given. It is shown that the model can accurately be fitted at different snapshots after the fragmentation, even with a low number of sample points. Given an analytical expression of the density enables the subsequent integration of the collision risk at any point in the phase space.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- http://hdl.handle.net/11311/1074833
- OA Status
- green
- Cited By
- 4
- References
- 9
- Related Works
- 16
- OpenAlex ID
- https://openalex.org/W2912341238
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2912341238Canonical identifier for this work in OpenAlex
- Title
-
Interpolation and Integration of Phase Space Density for Estimation of Fragmentation Cloud DistributionWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2019Year of publication
- Publication date
-
2019-01-01Full publication date if available
- Authors
-
Stefan Frey, Camilla Colombo, Stijn LemmensList of authors in order
- Landing page
-
https://hdl.handle.net/11311/1074833Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://hdl.handle.net/11311/1074833Direct OA link when available
- Concepts
-
Interpolation (computer graphics), Fragmentation (computing), Cloud computing, Mathematics, Computer science, Geography, Artificial intelligence, Motion (physics), Operating systemTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
4Total citation count in OpenAlex
- Citations by year (recent)
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2022: 1, 2021: 2, 2020: 1Per-year citation counts (last 5 years)
- References (count)
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9Number of works referenced by this work
- Related works (count)
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16Other works algorithmically related by OpenAlex
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