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Back-tracing space debris using proper elements

Published online by Cambridge University Press:  30 May 2022

Alessandra Celletti ,
Giuseppe Pucacco  and
Tudor Vartolomei Open the ORCID record for Tudor Vartolomei [Opens in a new window]
Alessandra Celletti
Affiliation:
Department of Mathematics, University of Rome Tor Vergata; Via della Ricerca Scientifica 1, 00133 Rome, Italy, [email protected]
Giuseppe Pucacco
Affiliation:
Department of Physics, University of Rome Tor Vergata; Via della Ricerca Scientifica 1, 00133 Rome, Italy, [email protected]
Tudor Vartolomei
Affiliation:
Department of Mathematics, University of Rome Tor Vergata; Via della Ricerca Scientifica 1, 00133 Rome, Italy, [email protected]
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Abstract

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Normal form methods allow one to compute quasi-invariants of a Hamiltonian system, which are referred to as proper elements. The computation of the proper elements turns out to be useful to associate dynamical properties that lead to identify families of space debris, as it was done in the past for families of asteroids. In particular, through proper elements we are able to group fragments generated by the same break-up event and we possibly associate them to a parent body. A qualitative analysis of the results is given by the computation of the Pearson correlation coefficient and the probability of the Kolmogorov-Smirnov statistical test.

Keywords

Proper elementsNormal formSpace debrisGeopotentialSun and Moon attractionsSolar radiation pressureStatistical data analysis
Type
Research Article
Information
Proceedings of the International Astronomical Union , Volume 15 , Symposium S364: Multi-scale (Time and Mass) Dynamics of Space Objects (Oct 2021) , October 2019 , pp. 134 - 139
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of International Astronomical Union

Footnotes

*

This extended abstract has been presented by Tudor Vartolomei at the IAU Symposium 364

References

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