Stability of 24-hour satellites of a planet with allowance for its triaxiality

Details Stability of 24-hour satellites of a planet with allowance for its triaxiality Stability of 24-hour satellites of a planet with allowance for its triaxiality

Aug 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975azh....52..159k&link_type=abstract

Astronomicheskii Zhurnal, vol. 52, no. 1, 1975, p. 159-163. In Russian.

Other

Motion Stability, Natural Satellites, Planetary Gravitation, Synchronous Satellites, Equations Of Motion, Equilibrium Equations, Planetary Rotation, Planetocentric Coordinates, Systems Stability

Scientific paper

Study of equilibrium stability of synchronous satellites of a rotating triaxial planet whose potential is approximated by the mutual force function of four fixed centers (material points). It is shown that two of the four positions of relative equilibrium are unstable, while the other two are stable in a first approximation with respect to the values of the equatorial planetocentric coordinates and their first derivatives. Conditions for the equilibrium stability of the latter positions are identified.

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