The object of this paper is the initial orbit determination of an orbit set compatible with an observational arc by means of differential algebra. The initial estimate is retrieved as a truncated power series expanded with respect to the uncertainties in the measurements. The analysis of the region is performed with the automatic domain splitting, that splits the orbit set into two or more regions defined by just as many Taylor expansions when the estimated truncation error introduced by the truncated power series exceeds a certain tolerance. A comparison between the proposed initial orbit determination approach and alternative methods from the literature is included to show the improvements achieved by exploiting accuracy information using differential algebra. The goal of the description of the initial orbit determination solution as orbit set is to propagate several independent orbit set to a common epoch and analyze them to decide whether they’re correlated or not. Initial results for the linkage of two independent observations are also included.

Initial Orbit Determination Based on Propagation of Orbit Sets with Differential Algebra

SANTERAMO, DANIELE ANTONIO;WITTIG, ALEXANDER NICOLAUS;ARMELLIN, ROBERTO;DI LIZIA, PIERLUIGI
2017-01-01

Abstract

The object of this paper is the initial orbit determination of an orbit set compatible with an observational arc by means of differential algebra. The initial estimate is retrieved as a truncated power series expanded with respect to the uncertainties in the measurements. The analysis of the region is performed with the automatic domain splitting, that splits the orbit set into two or more regions defined by just as many Taylor expansions when the estimated truncation error introduced by the truncated power series exceeds a certain tolerance. A comparison between the proposed initial orbit determination approach and alternative methods from the literature is included to show the improvements achieved by exploiting accuracy information using differential algebra. The goal of the description of the initial orbit determination solution as orbit set is to propagate several independent orbit set to a common epoch and analyze them to decide whether they’re correlated or not. Initial results for the linkage of two independent observations are also included.
2017
7th European Conference on Space Debris, ESA/ESOC
Initial orbit determination, differential algebra, admissible region
File in questo prodotto:
File Dimensione Formato  
PIROL01-17.pdf

accesso aperto

Descrizione: Paper
: Publisher’s version
Dimensione 1.82 MB
Formato Adobe PDF
1.82 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: https://hdl.handle.net/11311/1021864
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact