Probabilistic initial orbit determination

  1. Armellin, Roberto 1
  2. Di Lizia, Pierluigi 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Polytechnic University of Milan
    info

    Polytechnic University of Milan

    Milán, Italia

    ROR https://ror.org/01nffqt88

Journal:
Advances in the Astronautical Sciences

ISSN: 0065-3438

Year of publication: 2016

Volume: 158

Pages: 3143-3159

Type: Article

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More publications in: Advances in the Astronautical Sciences

Abstract

Future space surveillance requires dealing with uncertainties directly in the initial orbit determination phase. We propose an approach based on Taylor differential algebra to both solve the initial orbit determination (IOD) 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 pdf mapping through nonlinear transformations. In this way the mapping is obtained in an elegant and general fashion. The proposed approach is applied to both anglesonly and two position vectors IOD for objects in LEO and GEO.

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Funding information

R. Armellin acknowledges the support received by the Marie Sklodowska-Curie grant 627111 (HOPT - Merging Lie perturbation theory and Taylor Differential algebra to address space debris challenges). This work has been partially funded by the Spanish Finance and Competitiveness Ministry under Project ESP2014-57071-R.

Funders

  • Marie Sklodowska-Curie grant
    • 627111
  • Spanish Finance and Competitiveness Ministry
    • ESP2014-57071-R