Probabilistic optical and radar initial orbit determination

  1. Armellin, R. 2
  2. Di Lizia, P. 1
  1. 1 Polytechnic University of Milan
    info

    Polytechnic University of Milan

    Milán, Italia

    ROR https://ror.org/01nffqt88

  2. 2 University of Surrey
    info

    University of Surrey

    Guildford, Reino Unido

    ROR https://ror.org/00ks66431

Revista:
Journal of Guidance, Control, and Dynamics

ISSN: 0731-5090

Año de publicación: 2018

Volumen: 41

Número: 1

Páginas: 101-118

Tipo: Artículo

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DOI: 10.2514/1.G002217 SCOPUS: 2-s2.0-85039864325 GOOGLE SCHOLAR

Otras publicaciones en: Journal of Guidance, Control, and Dynamics

Resumen

Future spacesurveillance requires dealingwith uncertaintiesdirectly in the initial orbit determination phase. An approach based on Taylor differential algebra is proposed to both solvethe initial orbit determination problem and to map uncertainties from the observables space into the orbital elements space. This is achieved by approximating in Taylor series the general formula for probability density function mapping through nonlinear transformations. In this way, the mapping is obtained in an elegant and general fashion. The proposed approach is applied to both angles-only and two position vectors initial orbit determination for objects in low Earth orbit and geostationary equatorial orbit. © Copyright 2017 by R. Armellin and P. Di Lizia.