Stability of the planetary three-body problem View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1995-07

AUTHORS

Philippe Robutel

ABSTRACT

Using new expansions of the planetary Hamiltonian in Poincaré canonical elliptic variables, Arnold's theorem for the existence of quasiperiodic orbits in degenerated cases is applied to the general spatial planetary three body problem. The existence of quasiperiodic motion is demonstrated for almost all values of the ratio of semi-major axis α in ]0, 0.8] and almost all values of the mutual inclination up to about 1 degree. This extends the previous result of Arnold (1963). More... »

PAGES

219-261

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf00692089

DOI

http://dx.doi.org/10.1007/bf00692089

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1016738552


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