Variation of parameters using battin's universal functions

James R. Burton, Robert Graham Melton

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This paper presents a variation of parameters analysis, suitable for use in situations involving small perturbations to the two-body problem, using Battin's universal functions. Unlike the universal variable formulation, this approach avoids the need to switch among different functional representations if the orbit transitions from elliptical, through parabolic, to hyperbolic state, making it attractive for use in simulating low-thrust trajectories ascending to escape or capturing into orbit.

Original languageEnglish (US)
Title of host publicationAdvances in the Astronautical Sciences
PublisherPubl by Univelt Inc
Number of pages6
Editionpt 1
ISBN (Print)0877033587
StatePublished - Dec 1 1992
EventProceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2) - Colorado Springs, CO, USA
Duration: Feb 24 1992Feb 26 1992

Publication series

NameAdvances in the Astronautical Sciences
Numberpt 1
ISSN (Print)0065-3438


OtherProceedings of the AAS/AIAA Spaceflight Mechanics Meeting. Part 1 (of 2)
CityColorado Springs, CO, USA

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science


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