Epicycle analysis for the LISA orbits

A. John Iannacone, Robert G. Melton

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


Previous research has developed a time-explicit series representation accurate to 3rd order in orbital eccentricity for the Cartesian coordinates of a satellite relative to a circular reference orbit (i.e., a series representation of epicyclic motion) with an intended application to the Laser Interferometer Space Antenna (LISA) mission. This paper extends the series expansion to 9th order and examines the convergence properties by numerical analysis. While the additional terms in the expansion do not add significantly to the accuracy for eccentricities of the order used for LISA, they do reveal convergence problems for certain values of mean anomaly when the eccentricity is relatively high. Copyright IAF/IAA. All rights reserved.

Original languageEnglish (US)
Title of host publicationInternational Astronautical Federation - 58th International Astronautical Congress 2007
PublisherInternational Astronautical Federation, IAF
Number of pages12
ISBN (Print)9781605601502
StatePublished - Jan 1 2007
Event58th International Astronautical Congress 2007 - Hyderabad, India
Duration: Sep 24 2007Sep 28 2007

Publication series

NameInternational Astronautical Federation - 58th International Astronautical Congress 2007


Other58th International Astronautical Congress 2007

All Science Journal Classification (ASJC) codes

  • Management, Monitoring, Policy and Law
  • Renewable Energy, Sustainability and the Environment
  • Fuel Technology
  • General Energy
  • Energy Engineering and Power Technology
  • Modeling and Simulation
  • Aerospace Engineering
  • Space and Planetary Science


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