NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Diagrammatic theory of transition of pendulum like systemsOrbit-orbit and spin-orbit gravitational resonances are analyzed using the model of a rigid pendulum subject to both a time-dependent periodic torque and a constant applied torque. First, a descriptive model of passage through resonance is developed from an examination of the polynomial equation that determines the extremes of the momentum variable. From this study, a probability estimate for capture into libration is derived. Second, a lowest order solution is constructed and compared with the solution obtained from numerical integration. The steps necessary to systematically improve this solution are also discussed. Finally, the effect of a dissipative term in the pendulum equation is analyzed.
Document ID
19790045303
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Yoder, C. F.
(California Institute of Technology, Jet Propulsion Laboratory, Pasadena Calif., United States)
Date Acquired
August 9, 2013
Publication Date
January 1, 1979
Publication Information
Publication: Celestial Mechanics
Volume: 19
Subject Category
Astronomy
Accession Number
79A29316
Funding Number(s)
CONTRACT_GRANT: NGL-05-007-002
CONTRACT_GRANT: NAS7-100
CONTRACT_GRANT: NGR-05-010-062
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available