Reversed-series solution to the universal Kepler equation

Andrew J. Staugler, David A. Chart, Robert G. Melton

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The reversed series solution to the universal Kepler equation provides a useful analytical approximation that takes advantage of the singularity-free universal function formulation. The solution is compatible with any variational approaches that use the universal functions to examine small disturbances or the effects of low-level thrust. A rectified step can be inserted to control error over a large change in true anomaly.

Original languageEnglish (US)
Pages (from-to)1276-1277
Number of pages2
JournalJournal of Guidance, Control, and Dynamics
Issue number6
StatePublished - Jan 1 1997

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics


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