Document Detail


Long-term cycling of kozai-lidov cycles: extreme eccentricities and inclinations excited by a distant eccentric perturber.
MedLine Citation:
PMID:  22107620     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
The very long-term evolution of the hierarchical restricted three-body problem is calculated analytically for high inclinations. The Kozai-Lidov Cycles (KLCs) slowly evolve due to the octupole term in the perturber's potential and exhibit striking features, including extremely high eccentricities and the generation of retrograde orbits with respect to the perturber. These features were found in recent numerical experiments of the nonrestricted three-body problem and were attributed inaccurately to the comparable and low masses of the two orbiting companions. Our calculation is done by averaging for the first time the double averaged secular equations of motion over the KLCs and finding a new constant of the motion. These very long-term effects are likely to be important in various astrophysical systems thought to involve KLCs, such as hot Jupiters, irregular moons of planets, and many others.
Authors:
Boaz Katz; Subo Dong; Renu Malhotra
Publication Detail:
Type:  Journal Article     Date:  2011-10-27
Journal Detail:
Title:  Physical review letters     Volume:  107     ISSN:  1079-7114     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2011 Oct 
Date Detail:
Created Date:  2011-11-23     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  181101     Citation Subset:  IM    
Affiliation:
Institute for Advanced Study, Princeton, New Jersey 08540, USA.
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