A differential algebra-based importance sampling method for uncertainty propagation and impact probability computation on the first resonant returns of near-Earth objects is presented in this paper. Starting from the results of an orbit determination process, we use a differential algebra-based automatic domain pruning to estimate resonances and automatically propagate in time the regions of the initial uncertainty set that include the resonant return of interest. The result is a list of polynomial state vectors, each mapping specific regions of the uncertainty set from the observation epoch to the resonant return. Then, we employ a Monte Carlo importance sampling technique on the generated subsets for impact probability computation. We assess the performance of the proposed approach on the case of asteroid (99942) Apophis. A sensitivity analysis on the main parameters of the technique is carried out, providing guidelines for their selection. We finally compare the results of the proposed method to standard and advanced orbital sampling techniques.

A differential algebra-based importance sampling method for impact probability computation on earth resonant returns of near-earth objects

LOSACCO, MATTEO;Di Lizia, Pierluigi;
2018

Abstract

A differential algebra-based importance sampling method for uncertainty propagation and impact probability computation on the first resonant returns of near-Earth objects is presented in this paper. Starting from the results of an orbit determination process, we use a differential algebra-based automatic domain pruning to estimate resonances and automatically propagate in time the regions of the initial uncertainty set that include the resonant return of interest. The result is a list of polynomial state vectors, each mapping specific regions of the uncertainty set from the observation epoch to the resonant return. Then, we employ a Monte Carlo importance sampling technique on the generated subsets for impact probability computation. We assess the performance of the proposed approach on the case of asteroid (99942) Apophis. A sensitivity analysis on the main parameters of the technique is carried out, providing guidelines for their selection. We finally compare the results of the proposed method to standard and advanced orbital sampling techniques.
Celestial mechanics; Methods: statistical; Minor planets, asteroids: individual: (99942) apophis; Astronomy and Astrophysics; Space and Planetary Science
File in questo prodotto:
File Dimensione Formato  
LOSAM03-18.pdf

Accesso riservato

Descrizione: Paper
: Publisher’s version
Dimensione 3.01 MB
Formato Adobe PDF
3.01 MB Adobe PDF   Visualizza/Apri
LOSAM_OA_03-18.pdf

accesso aperto

Descrizione: Paper open access
: Publisher’s version
Dimensione 2.99 MB
Formato Adobe PDF
2.99 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1059774
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 6
social impact