Diagrammatic theory of transition of pendulum like systems View Full Text


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Article Info

DATE

1979-01

AUTHORS

Charles F. Yoder

ABSTRACT

Orbit-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. More... »

PAGES

3-29

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01230171

DOI

http://dx.doi.org/10.1007/bf01230171

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1027217087


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