A finite-time stability criterion for sun-perturbed planetary satellites.

Details A finite-time stability criterion for sun-perturbed planetary satellites. A finite-time stability criterion for sun-perturbed planetary satellites.

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ltdb.conf..197r&link_type=abstract

NATO Advanced Study Institute on Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems, p. 197 - 215

Physics

Planetary Satellites: Stability, Planetary Satellites: Three-Body Problem

Scientific paper

The inability of the c2H stability criterion in the general threebody problem to guarantee Hill (or hierarchical) stability in the case of a planetary satellite perturbed by the Sun when the planet's orbital eccentricity is non-zero leads to the search for a finite-time stability criterion applicable to such cases. Its application to the main satellites of Jupiter, Saturn and Uranus shows that stability lifetimes of at least 106years may be demonstrated for them.

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