How to avoid singularity when using Euler angles?

Puneet Singla, Daniele Mortari, John L. Junkins

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


In this paper, an algorithm is proposed to avoid singularity associated with the most famous minimum element attitude parametrization, Euler angle set. The proposed algorithm makes use of the method of sequential rotation to avoid singularity associated with Euler angle set. Further, a switching algorithm is also proposed to switch between different Euler angle sets to avoid the singularity while integrating the kinematic equations corresponding to Euler angles for spacecraft motion. The algorithm is numerically validated by simulation tests.

Original languageEnglish (US)
Article numberAAS 04-190
Pages (from-to)1409-1426
Number of pages18
JournalAdvances in the Astronautical Sciences
Issue numberSUPPL.
StatePublished - Aug 26 2005

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science


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