The Lyapunov stabilization of satellite equations of motion using integralsA method is introduced that weakens the Lyapunov or in track instability of satellite equations of motion. The method utilizes a linearized energy integral of satellite motion as a constraint on solutions obtained by numerical integration. The procedure prevents local numerical error from altering the frequency associated with the fast angular variable and thereby reduces the Lyapunov instability and the global numerical error. Applications of the method to satellite motion show accuracy improvements of two to three orders of magnitude in position and velocity after 50 revolutions. A modification of the method is presented that allows the use of slowly varying integrals of motion.
Document ID
19740034845
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Nacozy, P. E. (Texas, University Austin, Tex., United States)
Date Acquired
August 7, 2013
Publication Date
July 1, 1973
Subject Category
Space Vehicles
Report/Patent Number
AAS PAPER 73-220
Meeting Information
Meeting: Astrodynamics Conference
Location: Vail, CO
Country: US
Start Date: July 16, 1973
End Date: July 18, 1973
Sponsors: American Institute of Aeronautics and Astronautics, American Astronautical Society