Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010ap%26ss.327..299s&link_type=abstract
Astrophysics and Space Science, Volume 327, Issue 2, pp.299-308
Astronomy and Astrophysics
Astrophysics
3
Celestial Mechanics, Variable Masses, Radiation Pressure
Scientific paper
This paper examines the effect of a constant κ of a particular integral of the Gylden-Meshcherskii problem on the stability of the triangular points in the restricted three-body problem under the influence of small perturbations in the Coriolis and centrifugal forces, together with the effects of radiation pressure of the bigger primary, when the masses of the primaries vary in accordance with the unified Meshcherskii law. The triangular points of the autonomized system are found to be conditionally stable due to κ. We observed further that the stabilizing or destabilizing tendency of the Coriolis and centrifugal forces is controlled by κ, while the destabilizing effects of the radiation pressure remain unchanged but can be made strong or weak due to κ. The condition that the region of stability is increasing, decreasing or does not exist depend on this constant. The motion around the triangular points L 4,5 varying with time is studied using the Lyapunov Characteristic Numbers, and are found to be generally unstable.
Aishetu Umar
Leke Oni
Singh Jagadish
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