Extended phase-space realization for attitude dynamics of an axisymmetric body in eccentric orbit

Roshan T. Eapen, Manoranjan Majji, Kyle T. Alfriend

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


This paper investigates the attitude dynamics of a rigid axisymmetric body in an eccentric orbit using a Hamiltonian formulation in the Serret-Andoyer variables. This is formulated using the extended phase-space, wherein the time-like variable arising from the eccentric nature of the orbit is treated as a coordinate. The gravity-gradient potential is modeled as a perturbation for averaging using a Lieseries method. Two formulations are developed to treat the case of a fast-rotating and slow-rotating body in an eccentric orbit, respectively. Analytical investigations lead to identifying resonant commensurabilities and relative equilibria in the slow-rotating rigid body problem.

Original languageEnglish (US)
Title of host publicationAAS/AIAA Astrodynamics Specialist Conference, 2019
EditorsKenneth R. Horneman, Christopher Scott, Brian W. Hansen, Islam I. Hussein
PublisherUnivelt Inc.
Number of pages18
ISBN (Print)9780877036654
StatePublished - 2020
EventAAS/AIAA Astrodynamics Specialist Conference, 2019 - Portland, United States
Duration: Aug 11 2019Aug 15 2019

Publication series

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


ConferenceAAS/AIAA Astrodynamics Specialist Conference, 2019
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science


Dive into the research topics of 'Extended phase-space realization for attitude dynamics of an axisymmetric body in eccentric orbit'. Together they form a unique fingerprint.

Cite this