The hierarchical stability of satellite systems

Details The hierarchical stability of satellite systems The hierarchical stability of satellite systems

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.215..567d&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 215, Aug. 1, 1985, p. 567-573.

Astronomy and Astrophysics

Astronomy

4

Celestial Mechanics, Natural Satellites, Orbital Mechanics, Three Body Problem, Dynamic Stability, Eccentric Orbits, Jupiter Satellites, Saturn Satellites

Scientific paper

The c2H stability criterion is used to determine the hierarchical stability of planetary satellites with well-determined masses and orbital elements. All are found to satisfy the criterion. An approximation, valid when the primary is far more massive than the satellites is discussed and a method for determining critical mass ratios outlined. Some systems where the mass of the smallest satellite is not known are also discussed.

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