A general dynamics model and geometric Variational Integrator for spacecraft with variable speed control moment gyroscopes

Sasi Prabhakaran Viswanathan, Amit Sanyal, Frederick Leve

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

2 Scopus citations

Abstract

An attitude dynamics model of spacecraft with variable speed control moment gyroscope (VSCMG), is obtained using the framework of geometric mechanics. This attitude dynamics formulation relaxes some standard assumptions, that are made in the prior literature on control moment gyroscopes and provides a general dynamics model. The dynamics equations show the complex nonlinear coupling between the internal degrees of freedom associated with the VSCMG and the spacecraft base body attitude degrees of freedom. General ideas on how this coupling can be used to control the angular momentum of the base body of the spacecraft using changes in the momentum variables of a finite number of VSCMGs, are provided. A special case of three VSCMGs arranged in tetrahedron configuration is considered. A control scheme using three VSCMG for an attitude pointing maneuver in the absence of external torques and when the total angular momentum of the spacecraft is zero, is presented. Geometric Variational Integrators are constructed for this underactuated system and the control scheme is numerically validated.

Original languageEnglish (US)
Title of host publicationAdvances In The Astronautical Sciences
EditorsDonald L. Mackison, Ossama Abdelkhalik, Roby S. Wilson, Renato Zanetti
PublisherUnivelt Inc.
Pages2785-2801
Number of pages17
ISBN (Electronic)9780877036111
StatePublished - 2014
Event24th AAS/AIAA Space Flight Mechanics Meeting, 2014 - Mexico, United States
Duration: Jan 26 2014Jan 30 2014

Publication series

NameAdvances in the Astronautical Sciences
Volume152
ISSN (Print)0065-3438

Other

Other24th AAS/AIAA Space Flight Mechanics Meeting, 2014
CountryUnited States
CityMexico
Period1/26/141/30/14

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

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    Viswanathan, S. P., Sanyal, A., & Leve, F. (2014). A general dynamics model and geometric Variational Integrator for spacecraft with variable speed control moment gyroscopes. In D. L. Mackison, O. Abdelkhalik, R. S. Wilson, & R. Zanetti (Eds.), Advances In The Astronautical Sciences (pp. 2785-2801). (Advances in the Astronautical Sciences; Vol. 152). Univelt Inc..