Analysis of scaling parameters of the batch unscented transformation for precision orbit determination using satellite laser ranging data

Jae Hyuk Kim, Sang Young Park, Young Rok Kim, Eun Seo Park, Jung Hyun Jo, Hyung Chul Lim, Jang Hyun Park, Jong Uk Park

Research output: Contribution to journalArticle

11 Citations (Scopus)


The current study analyzes the effects of the scaling parameters of the batch unscented transformation on precision satellite orbit determination. Satellite laser ranging (SLR) data are used in the orbit determination algorithm, which consists of dynamics model, observation model and filtering algorithm composed of the batch unscented transformation. TOPEX/Poseidon SLR data are used by utilizing the normal point (NP) data observed from ground station. The filtering algorithm includes a repeated series of processes to determine the appropriate scaling parameters for the batch unscented transformation. To determine appropriate scaling parameters, general ranges of the scaling parameters of α, β, κ, λ are established. Depending on the range settings, each parameter was assigned to the filtering algorithm at regular intervals. Appropriate scaling parameters are determined for observation data obtained from several observatories, by analyzing the relationship between tuning properties of the scaling parameters and estimated orbit precision. The orbit determination of satellite using the batch unscented transformation can achieve levels of accuracy within several tens of cm with the appropriate scaling parameters. The analyses in the present study give insights into the roles of scaling parameters in the batch unscented transformation method.

Original languageEnglish
Pages (from-to)183-192
Number of pages10
JournalJournal of Astronomy and Space Sciences
Issue number3
Publication statusPublished - 2011 Sep


All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Earth and Planetary Sciences(all)

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